Physics
Grade-10
Easy
Question
There are two cars, car A and car B. Mass of car A is 3000 kg, travelling at 40 m/s collide with car B of mass 4000 kg travelling at 20 m/s in same direction. After collision, the velocity of car A becomes 50 m/s. Calculate the velocity of car B after the collision?
- 12 m/s
- 12.5 m/s
- 13 m/s
- 14 m/s
Hint:
Use the law of conservation of momentum.
The correct answer is: 12.5 m/s
Given that-
Mass of car A = 3000 Kg
Speed of car A = 40 m/s
Mass of car B = 4000 Kg
Speed of the car B = 20 m/s
Final speed of car A = 50 m/s
Let the final speed of car B = v m/s
Using the law of conservation of momentum,
(3000 x 40) + (4000 x 20) = (3000 x 50) + (4000 x v)
1,20,000 + 80,000 = 150000 + 4000v
50000 = 4000 v
v = 50000/4000 = 12.5 m/s
Related Questions to study
Physics
A 3,000 kg truck moving at +15 m/s hits a bus 1,000 kg moving at +10 m/s in the same direction. What is the approximate velocity of the truck if the final velocity of the bus becomes 8 m/s.
A 3,000 kg truck moving at +15 m/s hits a bus 1,000 kg moving at +10 m/s in the same direction. What is the approximate velocity of the truck if the final velocity of the bus becomes 8 m/s.
PhysicsGrade-10
Physics
Mass of the blue ball is 0.88 Kg and mass of the pink ball is 1.50 kg
The following example follows law of conservation of momentum.
Is the statement true or false?
Initial:
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)
Final:
![](data:image/png;base64,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)
Mass of the blue ball is 0.88 Kg and mass of the pink ball is 1.50 kg
The following example follows law of conservation of momentum.
Is the statement true or false?
Initial:
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)
Final:
![](data:image/png;base64,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)
PhysicsGrade-10
Physics
Mass of the blue ball is 0.88 Kg and mass of the pink ball is 1.50 kg
The following example follows law of conservation of momentum.
Is the statement true or false?
Initial:
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)
Final:
![](data:image/png;base64,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)
Mass of the blue ball is 0.88 Kg and mass of the pink ball is 1.50 kg
The following example follows law of conservation of momentum.
Is the statement true or false?
Initial:
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)
Final:
![](data:image/png;base64,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)
PhysicsGrade-10
Physics
Mass of the blue ball is 0.88 Kg and mass of the pink ball is 1.50 kg
The following example follows law of conservation of momentum.
Is the statement true or false?
Initial:
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)
Final:
![](data:image/png;base64,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)
Mass of the blue ball is 0.88 Kg and mass of the pink ball is 1.50 kg
The following example follows law of conservation of momentum.
Is the statement true or false?
Initial:
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)
Final:
![](data:image/png;base64,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)
PhysicsGrade-10
Physics
Mass of the blue ball is 0.88 Kg and mass of the pink ball is 1.50 kg
“The following example follows the law of conservation of momentum.”
Is the statement true or false?
Initial:
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)
Final:
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAANsAAABNCAYAAAAvvBEeAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAAFxEAABcRAcom8z8AACJQSURBVHhe7X0HWFXH1rb3v0lE6ShYQCki4L3P938mJldvEo0RRREEo6CigopdKdZgRwVrFAv2SjT2gl0UezSW2Dv23rH39n5rzdnneDwOCniOHPC8PO/D2X1m9rx7rTUze3Y+vAZMNNFEw9MkNhNN/EQ0ic1EEz8RTWIz0cRPRJPYTDTxE9EkNhNN/EQ0ic1EEz8RTWLLizQha5CVoQFoEltepAlZg6wMDUCT2PIiTcgaZGVoAJrElhdpQtYgK0MD0CS2vMgMsH79eqxevVpZehe7d+/G0qVLlaWsY/ny5WjevDn69u2LW7duKWvf4OHDhxg2bBhatGiBqVOn4unTp8oWFXbt2oXk5GRlKXtISUnBgQMHlKVMQlaGBuDHic2ErEFWhoZgBuAKPmbMGGXpXbBYfvvtN2Upa9i2bRtCQ0Oxfft2jBw5Ep07d8aLFy+UrZSs16/Ru3dvdO3aFfv27UN0dDSmTZsmtj179gwzZsyAs7MzevXqJdZlB3y9uLg4nDp1SlmTScjK0AA0ie1TQlaGhmAGmDlzJpKSknD27Flh5dQ4cuSIsCrr1q3D6NGjlbUqvHr1ShwXGxsrLBaTBXnjxg1lDxV4/axZs8RvFk/r1q1x4sQJscx4+fIlVqxYgTt37ohltqDdu3cXv1l8LVu2RKdOnYRQdcEWcNmyZdi8ebOwjJs2bcLt27cxYcIETJ8+XVyPcfr0aSQkJIg0nz9/Xvzm/Fy+fFlszxCyMjQATWL7lJCVoSGYAVg0zHPnzqFRo0aaiv/rr78Kq/bnn3++IzYWCQtj/PjxmDhxoqaC37x5U9lDhW7duonjGWzFOnbsKMShi+fPnwsLGxAQgL///lusU7uTq1atklrW+/fvo2zZsujQoYOwhjVr1hSWkfNSr149/P7772I/Pn7evHnChWV3du7cucKSt2vXTpwjQ8jK0AA0iNg4LlizZo2y9C74pixatEhZyhr4qTVlyhSEhYUhPj4ed+/eVba8wZMnT8QTkN0arjy8rI0lS5aIG/Mx4Nji4MGDylImIStDQzADcOXksmOwVWHrxoJr06aNiKd4WVdsLJyjR49i69atGrIVfPz4sbKHCny+v/76S1mCcBc3bNigLL0BV3oWAIuERcfnV2PhwoVSsd27dw/VqlUTFpDBLipbLQbHaD169BC/+UHA8dqlS5fE/n/88QdOnjwpHi4s8gyhW34GokHExjdU7Y/LwIWqLqysYv78+aJyHD58GIMHDxY+ui7GjRsnbj67R3wj1BWMb/TAgQNhb2//3tjlQ+AnMQv9woULyppMQlaGhmAGYLFNnjxZ/F65cqUoP35oDB06VKzjB6Su2DgOGjRoEBo3bowmTZqIB1jbtm3fyTuXM1d8Bj8QIyMjRYOLGnwe7UYTPj4wMBDXrl1T1mQsNn6g+vv7i3vO0L6n/NDs06ePeKByOtXWmvflNPj4+CAmJuYdS/wWZGVoABpEbGzWWRT8VFHfAAYX/o4dO4Tl063s/KRka8RPRDW58LTNv657wnEDW7jr16+LZQY/obm1Ky0tTSxzoXNFYXdo48aNiIqK0rgjunj06JGIDTh9/fv3F5XvypUrGD58uHhqqt0dFvGIESPEb85Tv379MGrUKFy9elWsyxCyMjQEM4C22LhStmrVCg0bNsTevXvFOr5XumLLLNhKqWMwtvhNmzYV12CLwveWySLleIvB/4OCgjTiYCxYsEAjfG2w2Hx9fTWeBLus7NIyOA7kBy7f57Fjx4p1HK+pPSu+pzVq1HivpyUtQwPQYGLjp9SZM2fQoEEDjWC4knMQztQVGz+ZuKKz6Z89e7b4z+4ei0cNLji2aseOHRPLDx48EBWG3Rw1WBx169bVCJALnl0WFqbalZg0aZIQjy446C5fvryIYebMmSNcERYnVwKulFxZGRzDcNq4AYCf9lxJWZDs3hiDu5IRtMXG4EYNjn/YEjE+Rmxcdnx/OVbismLLyeB7yQ8/Bt93jhW5THmf1NRUsV4NfkAPGTJEWXoDFhsLRt2kz/dHff/UYuNjOe5ksLXkOI3FzQ9nfgjIuiI0kJWhAWgwsXEhM/gpxE8xfupzAXBl5BuhKzZ2Mzge4Buu5pYtWzQtTQwWF4vt+PHjYpnFx+dUuxeMixcv4pdfftG4DdwSxYJgEarBFUr9ZNRGenq6EJhazNwMrbaAfFPZgjH4eLbaLHLen5utOQ18De0Y5B3olp+hmAF0xcaVWNuN+xixMfhe8T3kVkE1+CGn3SrJ94M9DO3rqsFWTttLUYO9Ej6nOk7kclaLh+M5rlt8v7k+qMFp4W4I5nsfgAxZGRqABhMbWyYGWwF2D7llKDExUaxjC6YrNhYS98PwU5CtFf9nofITUw0WJPvhareHbw67kRwAq8H7s7hYdAwWRZ06dd5yRzMSG99APz8/jZg5vuMnJoPTzMt8Q9m95fQyOGjnNLGb07NnT816KWRlaAhmAI5z1PdABs6jzLLkecjK0AA0uNi48rN4goODNe4eCzC7DRTcsMKVncHBcfv27cWTi91NFhRbFrZI3J/E4LSoLZIa3JcjcyNZbOyuqNPJcRu7kwx2Gzme4BhNfeyhQ4c0rZr8dOVg/L0tlLIyNAQzwPG04yLezAjscmd59EVegKwMDUCDi43BlZ+tixofIzZ2IVhgbL04CN+/f79Yz8Exd7wy2G1p1qyZ2IfdTo4dtcFP9/dZNrUbOWDAAGGRGfzU55YytnRr164V67hzODw8XDxM+Doct+kOQXoLsjI0BE3IGmRlaAB+ErGxxeF4SI2PERuDG1P27NnzVtDLv7XjAPbl2Qppu49qsPsp65/j2ID7aNRxIqdZfTxbTl7m47TjSP7NadFupMkQsjLMS/wYyM6Xx2gQsXFrHzcFZwRu3eM47rODrAxzO3Vw+vI5rN6yDr9NGoku3bqibeMWCA9ohCY16qOpXwO0rtcUHaI6oF8CxcOrknEg7RCevX4zhlJAdp08QIOIjVuOdF03bVy4eEHTCPFZQVaGuZVaOHnpLBImJSIsqCHqlqmKthY+GGERigW2nbDBphd22sZjr+0g/G07AFtsYrHM5ldMsmqFLgX9Ub+kN0Kq10HPfr2w7cDOt0+te81czo8TW0ZUQ7aNqYZsW3b4Psj2N/HjqGDb/p2IiIpAoFsl9LUIwkarPrjvNBNwXwp4pBBXE1cSVxCXK+Tfq4i0vfRyPHOZh8N2v2G0eTM0sK+M+nWDMXPJHLzUvpDu9XMpDSO2T8HsQHYeEzNPBUdOH0eb9m0R6PA9phZojTslZqjE48lCSiYRLSYuygR5P9rfY5k4/qXrIqy37o1wi59R29cfq7aoGqIEZOnJZcxdYtPBxVOnsGl1CqYlJqJvTAw6duiAdpGR6BAdjT5dyVVJSEDqsmU4feTou8frntvE91P5NyZpIqq6lcfYAs3x2HkuCYyt1xIdEWWXJDxPsnruK7CORFfbqjzad4zE1XSlo1s3TbmMuUNsWrh69hwmjxiJXxo2RJmAQJg3aowC3brDatQo2E6ZCtukJNjRf+vEMSjYuzfMQkPhHhgI3+B6SIiPx5nDOv1MsuuZ+DYJtx/eRWh4EzQz+wlnio4jUazRo8h0SRaPRPzUdQGGfBWCKv+piO0HVK/jCMjSmAto/GJTcOboUXTr3Bnu1avDIioaNnPnwYkslvvFS/C4fgOeN2+J/x7Xrqv+8/KNmyh96TJKHD8O2+QlMO/SFY50fNvWrbFP63UQ6XVNVJFw8uIZ+Hr7YOCX9YBS5PKxuygViZ7JYiZRr7Xqgaolv8Pc5bRODVlajZzGLTbCC34bIC4OLt7eMOsTC8e9e1VCunoNpc+dR+kzZ1H69JmMydvJGnpcvgKPW+koefQYCg5PQNFqPoght/M2iVNAdv3PnYS0cyfh85+fMLNAO6r8+nQZs0DPFKQVHQtf23KYMFvrbQ1Zmo2Yxis2won9B1DdvxbyN28Bxz2KyC5clIsqk/Q4fwGeZPGcj6fhS7KU5at4Y9u6daoLMmRp+RxJuHTjCnwqVMYSi04qtzHTDR8GILmVVxynoYZNOcxeukCVQFm6jZjGJzYFm1athmuF8rAYPwGlSRwe5A7KxJNdsmhZvHYLFqLwjz9ittZoeGm6PicS7j95iFp+/phq1jLnhSa4UAiO40XvEt9h1yHVYHRp+o2URim29StWwOH772G3dBm8yPX7oKv4EfQiwRXbsRMFK1fGlFGjVAlgyNL2OVBBRJdo9PkikCo594lxc75MADlAcilTrXvCu3wlXMllrZTGJTbCX+TSOVSoAPvUVNHoIROIvulJcZvj3n1CcHM+dwtHWLA6GXUtKuClG1kzj6XySp+TJMEN+yoEER2jVAlmyPJiZDQesRG4xbH0f7+H7eJkeHFLokQYhiILrtj2HShMFnXHRtWr+9J05mUSbt27jWpfV8IBuyFUqVfKK3tO02MJXrguFP1wKzcrHd+y/BgZjUNshJfPn6NOUF0UHDESnum3pYLIFLnl8dx5Qf4t3UfGU6eFJbWdvwD/9fHBPfUEMbL05kUq6D9sIPqa1aUKzcOpcjpOew89V2GLdR8E+Pjh6QvlLQxZvmTUhWwfAzDnxaZgyuhE5G/YEO5kYbIkEiILy/PqNVVf27kLcD96DO7H0uBx4ZJq3ZWrmTsnxYbcN/dldAf07vqrkjKCLN15jYQL1y7Bz6sirhYjV5qHUMkqudGQHgTuK9GqgDdmJqveOZTmS00dPHn8BM+fSaZLkB2rJxqF2G5evoJ/V62Kon9uhSf9lgpBRhKH5/UbcD9xEsWnToNdRCSsG4TAslYALAMCYd2wEQp16gynefNF6yO7itLzaJH34764It7eOLxLGbUgS3deI2HI6GHobxZEQlstqdxGSHJzt1v3Q7B/HTx/qbymI8kX4+GDh+LVLp78h1/45YmoeNKhiPYRGDpkKPbuUVo31dA9jx5oFGIbHh+Przp0yHyDCLl8or+M46xJk2FBbp9VcDAc6DwlFi6Ey+YtcNm0CU6z58C+dx8SHomvVi040TYW54esHKej4LDhaNe6tSqBsnTnJRIevXiK2t/XQJrDCBLbcnnlNjZyK6lbMhoVqozNe7erMqKTLwa/W8nzTvJsW/x799+7xWtgJ9JOYE3KGjEHKE8SxW/381QXGmifSw/MWbERHt5Kx9e+NVGUBOKZyb40j4uXhOBsSQzmVaupLBe5isJl5JEiPISLeVm1jkeaFJ84CQV/+AEOffoIwYmYTnJuQdpWgqxbSV9fnFfmn5SmP6+QkLJ1PcLtqlLl5dZHI47VdOmZgonmLdCtt2pWZO083b1zF61atkIj8nAOHnj/7NU8cxe/9Pzzzz9rZoYT0C6nj2SOi23ZnLmwbNJUFavJKr4uWSTnzsG6Xn3YhDXRuJKiL44EyPtwB7imE5zXcUxHoi61d6+wgoVjuolRJOIY7XNrkTu8zTp3wVjtGXplecgLJPSM7YUJZuFUefXsQrrzf36/TXmXjX+LdXoixZYnCo1A/Z8D8PDpmynRHz96jBAKKeL6x2nyKKCbdzUVnKSQhOfS/D1J9f0A6b7ZZM6JTUFERAQKjB2XqXiKySIpTH63NfncPD5SWDn1dm7goJjLMXUdnFanwOPkqTeCYteT9i915CjMK/+MoqPHqASnCFSXvG+h5CXwJVFr0qubh7xAArfmhfgH43AherDo04V0XwJ4rcDlkpOw3S4ef9n2xyX6DU+6Ril9dZSTFXZdiFDHqth9RDX5E4OnF+zVU+vzU7K8y0jguS2rVq2KnTt3qlbI9ssGc1RsD8nMV6hTB0X/2i5aDmWVXpvceOJMIir4449kpfYJl1EjForD3MkalVy4GN9TQVUICoIb7VOaYru3zkFW0HnNWhSsWBFuu/e8LVYtetD5nI6noTT58hfpv4AsH7mdhHPXLqKBizcelfyDxKavgcZLcN9jDoZ/3R4tG4fDPygQvzSoi7bNWiHxh0647zVXf4LzWIme+QMxZ8VCMafowPiBCG9CVloNWb7fRwJPysvTo2smeJXtl0XmqNhO7tuPwiQ2V7Y67B5KKr022frZhIfDYcAAeGn1xbE1K8VjHWfNwQ/+tdDAtzrCe/SAIwXC4jUbrXMweQiYXdt2sKd9hHXT2a6mO8WBtuHNkUIWTkCWj9xOwpodm9DWpgZVfn3Fa4vxwnURhpePROehvdCxVSTalK2Ldt8EoUd0V8QMj8XwitF4IZrv9XA9cn1nW0di6JgE9ImPRb5/5EMN3xrYtGoT8FKVRwElvwJa+RdQL2ut46kSl+jx3ueo2FbNngObNm3EQGNZZdcmC8pt19+wqFEDbjt3iWWxjSyX246dKEfxVYO6dRHesCH+x9MTwbTM7qRzaqrK+mnFZ+willy+ApZ+fqptGbROsri/iInBhFHKlNyyfOR2EibOnY44uwZUcbkjW1KZs0r3pThSajRat2yNnoNiMcmhDVCCrFiJpZho1xqjxiaib/feOO86kfbnuUp4OoWPoOc6/GXXH7FdeiI2th/+4f0POK1ygm0TW7Ko/lictBjPH6osFE809ejhI03+b9NDW3yERbtMmITkxcmiBVMD3X2yyBwV26QRI2DbqxdK82BjSWXXJrt/TjNnwprEJBo/FPGwcIpNmIhKX3+N0mXKIJ+lNRxt7FGdfHYb7ncLDVMJU1tQ/DvthOgOcF67NkNXksVmnpiIXr/GqBLMkOUlN5MwdPRwjLVpThV/1duiyTZVYmtZhlxHp0q44DwRt9xm4ZzdFMz5ZzSim0ahQ1g0kr/sgpPWE4iJH0ebiViSrzOaVGyA0IAmsOxmiQr0V5b+HLc4wqqVFarUqYIpCVNQ178uFi8ma6qAZ8vu2KGjskTQKper5NnUr18fd24rX9rRLrdsMEfFNjg+HlYDB4k3q2WVXZvchF902DDYkYh4tIhGbCQUZ/KvC/eJhV1sf/y/YhYoXMYC3wbWhmU1HxSfnqTaX+d83FVg06QJHKdPl25nstis/5iFCD0+3YyOhH79+2O6BVkfnvVKKp5s0H0RXjjPxVOep4Ris8b2P9GD0gZF2jnAoa2KRVszi+iNDu0dYP6NOZynOuM/9PcN/X1Lf+Xor+TukrDvaQ+rUlbwq+GHa3TPubmfxbRxw0ZVQeiUC48yCW0c+ubDINrbs8EcFVvf2FhYDh2aObGRq+lAT6HC3bq923JJwuPxlG67D8LsGycUqksFXro0rGv6o9Shw6ID/K39iSw221atUWz8BFXXgc52sQ9dx3buXLRpTRVRDVlecjMJfXr1xkxzfhNbj2ITJNeR3xpwXoZQt8ooea8UviMRsABUIviW5FBOL+Rzlae/onFF4Tbfja7zHa1/88fLvL3E9hLI9898KF+uvPh0MX/ckUUloFMur1+9Rhh5RocOKh3d2tuzwRwV2wB6oloNyrxlKzJ4CArxSBMWm1YMJn6zoE6expf/doetmxmcHYujUJeu7+6rUFi2ZuEoPmXqu+JVyOttZs1Ge4orNZDlJTeTwN9pS9K3ZRMkd43OedpxHP5dyBnmcdawnWQP6/GF9cxCsJvgQOFEMZh5m8FlhotGbCxD/l3mdhkUnlgYHmEe8PyXJxJHJYovr45IUH3UUlYuz54+E2I8fkyZUFh3nywyR8U2bthw2JL7V5pHeUgquzbZ+jhOnSY6skWTv66AaFkIiKyQ7T++gKObG4rNnSd3EflYomXtX1By2fIM3wJnsfGb4t07d1ElmCHLS24mYXDCUIy3bkHi0GeHNrc0rsAmh/7oULsFWvWIwncO/4PRBZpjiWUPYowe2RMj8oWi1tc+8K3kB9t+tsKKsfX0uOoBy0GWcPN3Q6fWnZC2Lw2rV65G+3bt0Ty8Ofbs3qMqBEm53KJ6yWMob1DdE9DdJ4vMUbElJ/0uGjEyIzaOzVw3b4FFzZooRWZd1lXAzfxOI0YiX758MHdxQSlu+pc0frBYXdZvgIWvr3hDQIxK0dmHyWL7slcvjP5N+S6BLB+5nYSxf0zCYLtGJBA9tUYKLsdGh1i0DArDqOnjEF8tApdcpgCe2wAv5lb6nUrkyV0/kl6bsL/QYPTt2AOxPfvhi9pfwP2UO6z6WqGMXxnEdY/D6YNvPtDIw7i8vLxQy78WXr1UfXVVVi7r160X4yXZnRTQ3SeLzFGxHdq+A7bBwXDj1sEMmt+1yZ3a1hTQFuMRJ5IWTI6xipGrWaqkE74PCoKrpFObyf1s9t17wC4iIsN4TZCsokXLllg6f54qwbJ85HYSlm5JQZSNH1kiPY0ecV+Ciy6T0T24PSbOS8IP31RAF+sATC4egdHFWwpOdGyLG6Wm0/566ET3XI0FNh0xcPgQ9I7rjXxf5cM3Nb5B4tBEXD/77pdMGXPnzEXqWq3PDEvKJSoyCtOnURoZutuzwRwV2z2q6GVr14Yjj+RQ95u9h+wSOs2aAwvvqnA/eeqdY9xpe4lhw9AyMAAN2rdHiZ273hEbWzU3snjmP1aEy4aNKpdUa7uGJH5n+u9aN0h0vgvI8pHbSThx6TRCHKvgqfNsirH0UPlJtBOd2qFNbEeMSZqAphEt0bhLS9Tr3Az1u4QjqEtTeFUsi60lBtD+K949PqukuDAufxB+Xzwbq1etQmhIKCJaRqgyp4Yk3wK665Vt7F76+/nj3t17qhWy/bLIHBUbXr9GOFkOc3InPSneklZ6bXJcRoKybR6OQh06wuv2nbfdSRKfy9KlcCTT79SjJ9yPHH2znUepkEvJtKpTF4U/MHqERWifsgaVaN9XzzN4VyovkMADeOt718Zph9FUcT/2pVFuFFmKFKfeiHaqjdjSoRjw7+Zvsf+/miHWpRHOuU6g/XnUiuw8mSVdz20xmhWuim17d6gyROBYa9LEScoSQZZ3GQn8/b9aAbX0OnqEmXNiYxJmTpoM87ZtMzWKhMliKXX4MMyreMM+tq/qtRqdEf6leB+2eupGFPrPVpG7ALiBRXSM83ZtoeqQhVigbz8M6NVblVCGLA95gYROXTpjllk7csn01SJJFdWN6EJikFFfQ8NI2JftxyO4gh/SHyqdzwT+pnr16tU1n2kWkOVdTQU8uoSHaYm3BRiyfbPJHBfbDRKARw1fOPEkrJlwJYWFIisohm75+8O6cShcd+4UMRw3aGhEROTfHJOxcJxT14kRIzZhYcJFFA0nLE7ZNUicLkR72v/I35/B29qE+SuTEWHtSyLQg1unIYvpfZQdk0VSvDbHIgJRUdGqjGjlKS0tTbw02psemNwo8iH8+eefYn+N0Bja5fSRzHGxMbp36gyzfv1UL3pmJAAdqpv/+d0080qVUCg6Go6z54hxkqX51Zq0E3Ddug2O5KLaNm8hpqkrMmSoxpV833VYnJYUGNcnC6hJp27a8xIJ6Q/vIuD/e+NysYl6cCU/FUmw7svQ0rIalm1crcqITr74s8wxMTHwq+mHIUOGYOvWraJJnz/p/PTJU5w6dUpMl9CC6ggLTXso11vn0gNzVmxMAn/SqUTVqihx4GDmrJtCMTUCWS5XKkD7nr1gFRQEy8BAZRoEZR6S+g1QZOAguO3bpxLzh1o9ySK6nbsAS7o5W1ZJbmBepIJusT0xpkBTVXO6tHIbGT1X4Fih4Qis6IuHTx+pMpFB3o4cOYL4uHiEkWfDb27zi6UNQxoKtmnTBrNnzRbzlGigex490CjExujfoye+iowUb0hrYq1MkmM2Fp2I5/btF62MLhs3qfrj1NsyKWIWpBmJs0WzZpQ+JYG6ac6LJBw8cQQBTj/gQYlZZN300CppaHqkICZ/LYyYnKjKgCxfamqBO6l5/pGzVM80Q7XUkB2rJ+a82JiEe+npYr5Gm3nzxJTgMiF8kFR4bO00riLHbpkVLrmVHPMV2bQZpX/66fOYe0SbCqI7d8T4Ajw9As/vL6ngxkLPlThWOAHVy/2EWw+yMCo/I8j21TONQ2xMws71G8SMxDwzsRhmlcn47aPJQiML6HziJApU88EScikEZOnMyyScunQW1Vwr4HJRjt2MdZYtjtWWo1n+Spg2b4Yq4bL8GBmNR2xMwuzJU2BW+WeUIBfwkwiOzs+upivFcv+sG4T47sosTQxZGvM6CQmTRqNV/ipUqXn6cX3NFaJHeq3BAvMoNKjXAC9fZzDcyghpdGJjTBgxAmbeVVF8zx54kX8tFYmeyIJ2of//DApGDDcfv8o9N88gJLyiv+B69TDNaD4XpUXPVThM7mMll3I4ePKoKsGyfBghjUtsTAVTRo+G5Q8/oHDKGvGuWmbmKMkSyZJxE3/xnbtgVrMm+nTtahKamoSzVy7gp//9L9Zb9SRLYiStk+TW3is5C7Wsv8PC1fod3fEpaHxiYypIWbgInhUrwSx+ANyUZv6stlS+QzpeuKdEi/Hj4VSxIn4fN165IkGWns+RhJ0Hd6Oy87fYV4i/aJPDgiOhPXddhDCzShg8KnfO5WmcYmMquHzmDMKbNIFVrQBYz5gJVxYdWSTR2igTUwYUo0nouFJXrqLQ0mUoWK8+Auv8gkO7dilXIsjS8TmTkLp1A6o4lcMOuwEiVsoRl9JzJe45z0VTs58Q058srRqyNBsxjVdsaipIJYEEBgfDtvYvsKCYjlss3S5fFa/ViHGPJCJu6NDw8hXVerKGbrSN3yywJEtmHlwPVQICMD8pCa9fKAOMGbJrmyiwYftmVHL/FovNlW9rf7IPJJKwSeAniySituV/EDd8sCpBDFlajZzGLzamFrauXYvOkZH431q1YB/SEPm7dBUzKvMngR3WpqLI+g1wSF2HQstXwHzyFHzZrTsKh4XBy88PrVq0wJpFi/FSuyNTdj0T3yaBGyOqV6qKuK+C8MR5HomO3+o2oJUT3Q6rsMSyK35y+hozFhlm/v1PydwhNjW18OhWOv5cnYJEsnKdO3VCSONQ+DdsCJ+QEPiRCOs1aozoqCgkDP0N65YuxV2ybm9Bdn4TMybh5r3biIrphECr8lhn05fEwPM2cveAHkXH4zLJep4tOh6R+aujtq8/dhxUBoMzZGnLJcxdYlNTBlrPFuvZg4d48fgxLSgti7rQPZeJmaeCJakrULsqeQoFq2GbbbzqdRluQMnuAGYeGsav9pBwzxcZj4EF6sOnzPcYNn4knr3KO65+7hSbLt8H2f4mZp8KHj1/ginzfkeQTwDCrH/GXItIXCg6QfXJKbZ2/D1uMWMxCZBjPA15mVxE3s4Cc1+BB44zyFL2QscCfvAvWwU9BvbBhRuXlSsRZOnIhXy/2Ez4dJCVvzFTwXO8xKrNaxHRMQp1yvqgeZHqGPhVPay06Ip99r/hXNExuF58CtIdp+Gm41RcLDYeRxxGYJN1b4z5sgkibf3RwMsHYQ0aC/Feva3MZMWQXTcX0yQ2Y4Gs/HMDtZD++J74qOKIsaPRPjoSoXVC0KhCAEL+VQMhHtUQQqJq9I0/Qn3roUWLFogbMgDzly/C6WsXlDMokF0nDzDbYnulHm2RAV6/fv3BfT6E+/fv44V287wE/HJgVsHp4vQZEvxyYpagW/a5jRK8eP0S9548wM0Ht3Ht3i1cv5+O24/u4cnLZ8oeOpCdNw8xW2K7c+cOEhISkJ6erqx5Fzt27EBiovKeUTaQlJSEkJAQ8WLfW985VvDo0SPxLWSeq71bt264fv3tKcuSk5MxcuRIZekNWGgDBw7E/v1vPpynb2zevBmLFlHgnxXIyj83M7OQHZsnCfwf9S6eszcVte0AAAAASUVORK5CYII=)
Mass of the blue ball is 0.88 Kg and mass of the pink ball is 1.50 kg
“The following example follows the law of conservation of momentum.”
Is the statement true or false?
Initial:
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)
Final:
![](data:image/png;base64,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)
PhysicsGrade-10
Physics
In the explosion of a cracker or a bomb.
In the explosion of a cracker or a bomb.
PhysicsGrade-10
Physics
Law of conservation of momentum states that:
Law of conservation of momentum states that:
PhysicsGrade-10
Physics
What can you say about the numerical data from the figure, in connection with the conservation of linear momentum?
![](data:image/png;base64,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)
What can you say about the numerical data from the figure, in connection with the conservation of linear momentum?
![](data:image/png;base64,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)
PhysicsGrade-10
Physics
Observe the image and answer the question below:
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAZcAAACjCAYAAABG+lMCAAAgAElEQVR4nOzddXxV5R8H8M/tWg/WwTYYo5vRSHc3SCqpAiqi4I9QESQlRSSVVkK6Q8JRo2NjwAI21r3de3fj8/vjjpKhKIMF5/16XTbOPfE8d+ee73niPI+IJCEQCAQCQT4SF3QCBAKBQFD8CMFFIBAIBPlOCC4CgUAgyHdCcBEIBAJBvhOCi0AgEAjynRBcBAKBQJDvhOAiEAgEgnwnLegECIoGo8kMnU4HQ44eJrMJNBMisRgSsRhyuRxKpRISiaSgkykQPCUNgCH3dzOAf3qkTwbADsI9d/4QgosAAJAJIAZAsgnQZxqQGhOD2NBbSLgXipjICETfj0JifDzS01Kh02XDaDBCKpNBpVTC1tYWTk7O8PDwgLePD/z9/VGhfHm4u7tDLpcXdNYEbwnSCIMhHkZjJMzmu5BI4iGRiCCXiwFIYLncEYARgCn396cDjgiAO4DqAHwhBJlXIxKe0H97mQFEAwgxAncScnDt4iXcPvMn7p46goQ7t5D14N5/2q8IQKlS3vAvG4BmzZqhbr16qFmrFpRCoBHko9jYWNy8eRMRERG4d+8uIiNvIiHhDjIyEmAwEAqFDLa2KpQsqUGpUnbw9XWCj48DypUrCUdHG1iChzH39egyaISlBFMNQDMAigLJW3EgBJe3TJIBSDcBiWIg0gTcvPcQF/bvw8192xF15g8YsjIer2vvWQp2bt5w9CkNR28/2Di7Qm1nDZlSCYhEAAiDTg9tWgbSY+OQHHUXCeFhSImOQmrU3cf7sbbSoE69+ujUpSs6tWsLD0/PAsi5oDiIiIjAqVOncPDgAVy5chU3boTAZMp56e1VKikqVHBB9eoeaNPGH3Xq+MDFxQ6WWy1j7k9D7s9yAOrDUpoR/FtCcHkLxOYAt7KAZAOQKAKy5EBCZDwubFmPK7+tQULIVQCAWCyFe+UaKN2oGbyqBsKlXGXYuTlDplRBLAHEEkD0qFmFsBRRCNAMmE2AyQSY9DqkPYxHbMh13L9yDmEnDyPy0nnAaLkAlPX3x8BBgzBgwAC4uwtfWsHLCQ4OxqZNm7B9+zbcvfukRO3goISfnyPKlXOCp6cdSpSwgkYjg1QqgcFgRkaGDgkJmYiMTMXNm/EID09GRob+8faVK7uie/eK6NWrKvz9XWE5sR8FFz0AWwABAMoD8H6TWS7yhOBSzIVkA/uTgBQToLQCzDo9Lm/7DaeXzcPDm5cAALauHijfqjMqtesCzyp1oHFQQywFjAbAbLQEj0cv8PlmUZEIEIktL7EYEEsBicwScLJTdIi+dg439u/G1T1bkPogHABQsUIFjB4zBu+++y5UKtWb/VAERUZoaCgWLVqE9evXIzU1FQDg6xuAZs3qokEDK9SpI4eHhx3Uahks1VkSWO56HnnUxmJERkYOwsOTERQUhZMn7+HIkTuIjc0EALi722Dw4FoYPrwOPDycYAksptxtDQA0ABoDCHxDOS/6hOBSjKUZgXWxQAIBe1sg+soNHJgzDVd3bgIA2Ll5oWavgaje4124lPWHSAwYdYApN6C8KpHYUtqRKi1f9/g74bi8fSOC1q1C6n1LtVmnjh0xafJk1KhR49UPKCg29Ho9fvrpJ8yZMwdRUVEAgEaNmqFv3x5o2bIkfHy0AFIBaHO3eNQbLK/LmQiW9pVHP6UAchAaGo/ff7+OjRsv4cqVWABAxYrOmDChKfr2rZ677qMqN0Pu/5sBqPMaclz8CMGlmHqgB06kAJEElArg0rat2PftBCRGhEEiU6B694F4Z+RHcK9UEWYzkJMN0IRnb/ryCy3VaTIVIJECsSF3cXrVDwhauwxGbRY8PT0x9euvMWTQoNdwcEFRExYWhgkTJmDr1q0AgKpVa2Ps2E/QuXN72NpeBnAKlou+BC/Xo4uwlEKAJx1kxbCUdMR4+DAFmzdfxMKFpxAengIAGDGiDr76qhWcnOzxJIAZcrfpDaDUK+ezuBOCSzGjMwOXMoE/0wCdDJDTjKMLZ+Hw91/BqNfBJaAyWn/xDSq16wixGNBn508p5WWJRIBcY/n95sED2D9zCh5cPguZVIrxn3+OKVOmQCaTvbkECQqVY8eO4cMPP8TNmzehUNhg7NgPMHbsYLi4AMB1ALdgKaW87FMUhCUgWMFy55QGS6B5+i5KDkCKu3djMH36EaxadQEA0KiRD5Ys6YqKFT0B6HL3pQPgA6ArAOtXzG3xJgSXYiTTBOxOAkKyAJUaEBn12P3N/3By2RwAQOUOPdF+8gw4+/tClwWYc/B6Sir/gLSUYJTWQGJkDPZNm4wLv64EALz//vuYN28erK2FL+7bZseOHRg2fDji4+JQpkwA5s37CO3blwFwD0ACLO0fCvy7k9YMQA1Ljy8VgFBYAsRfH/gV5e7bhFWrzmDChH2Ij89C+fJOWLWqJwIDS+duZ4Kl1NQUQKP/ntm3gGTq1KlTCzoRgvxxKh04nw5o1ICEJuyc+gVO/TQXANBo+Kfo+t182Lg4Q5cBwJTbCC8qmBfMlvYd6xLWKNeiNQAJ7gX9gYsXLyIuLg4tW7YUSjBvkT179mDAgAFISkpCw4Y1sHbtCDRoIAMQAiAblmAgw7+/GxLBUp2VACD+qWV5MQIQoVo1X9Su5Yaz5yJx61YCjh27g3r1POHmVhJPuioTQEU8H6QEj0gmT5k69VEzmPAqmi+RCMg2A0eSgRwJoJADB2ZOw/ElMyCCCC0++RrtJk+DRCqHPrNACisvZNQDUrkEZRu/A6nCGnf+PIZLwcHQ6/Vo1rwZxCIxzCz4z1h45f8LIsu5ePLkSQwYMBCJiQlo0aIc1v7cF36lJSCTQchAiEGIXuFYotx9vMy6BERGlCrlhkYNPXHyVDhCQxNx9mwkWrT0g4ODHcw0g9CB8AZhV+CfY4H+DXOJ8rioiLbeFKrFijIRAKkYiMoGglIAuRVwd9c6nPpuCMxGA8r1/hKBH02DiIBBh8IVWR4hIFFYujBfWP4drq2aALFYjFGTF6D9kA+hzQbMb7BdSPD6iQCoNEDMvXuYPrIz7oZcg18lL4xb0B+lyzgiI0sHmgvuZBWLRbCxUeHs6XtY8Ok6xEUloXaj0hg3fyBUtioYctJBNsPbXjVmJqCRA638APFf/lyipGwhuBRlYlgK6dvigVg58DD4En4Z1AHapGhU7z4AXeYsA8RKGLJROAPLU6QKQCozY9fEMQj6eTHUNg74ddtONG1SH1r9P28vKDrEYsBs0GPgoCHYvXUDvL3tsH3HYFSo4o1MnfbZ2+ICIhKJYKVU4ciBq+jTez1SU3UYMbYx5szuhByjFqQtLA37rgWd1AIlFgF2yueXCw36xUCyEVifAmTosrD+vd64eWg33CrWwPsbdsHewxU5mSj0gQUAQECmBjKTU7FmYBfcCzqOdxo3xNbtO+Bgb1/QqRPkszWrV2LY0GGQyERYv74PunatBUu338J0SRIDUGLu3IMYN24PNGopdvw+CM1aVITlORs3AD1gGU1Z8DRh2M9iIMsMiBTA+U2bcPPQbshUarT9chYcvV2hy7AUXc3mIvAioM8CbJzt0Hbid1DZ2OP4Hycxb9mqgv6IBfksKioK30ybAYPJjKFDA9G1a3U86e5bmJgB5GDUqAbo0KEcsrKNmPr1YWRkZMDSC+0+gGsFm8RCSgguxYBcDiRHxOHU8vkAgNp9hqJ8y6aWXmFFkC4dKN0gEPXfGwMA+OnHJbh+J7yAUyXIT8uWLcO9e3fh7++IcePeyV1aWBvWjFCpVJg8uRkcHFQ4dSoCGzdegqXrsgSWAGP4+10UoOzs7AI5rhBcigEpgMu/b0Zi2HXYunuh/nsfAbCM7VUU0WwZgqZO/+Fw9CmLhMhw/Lx2XUEn65XEx8dj4sSJ+PrrrxEREVHQySlQd+7cwc8/rwUAjBpVD15ezrCM5VWY6VCzpi8GDKgOAFix4hxSUtIAKAE8ABBbkIl7oQsXLqBTp04YPnw4QkJC3uixheBSDKQmp+Pi1p8BANW79odbeT/kFMzNSr7J0QGOvi4I7Ps+AGDDhvW4HRP/D1sVXiEhIZgxYwamTJmCNm3aYNasWYiOji7oZBWIbdu2ITr6PsqXL4keParB8nxJYWeprnv//dpwcFAhODgahw6FwvLsjR6W6fYKnwcPHuDw4cP46aef0LJlS8ycORNJSUlv5NjCQ5TFwJEDB7Fy4TwobOzRfvJM2Lq6wKDLu+95kUHLyMoaB2dc37sdiVH3YF22KurVqIyi+GhliRIl4OTkhIiICISEhODw4cM4cOAAtFotSpUq9daMSJCRkYFJkybh/v37GDWqHjp0qIIng0MWdoSTkw1CQuJw6VIMxGIRunYtD7FYAsuQ/CUKOoHP8fX1RaVKlRAWFobbt2/j8OHDOHbsGFQqFfz9/SGVvr7JiIXgUgwsWbgA5y9cQLlmbdHg/Q9hMogLX7vof0AzYFXSAQ9v3EDMjUtIlKjg3LIL/FSiIhdg5HI56tSpgy5dusDJyQmRkZEICQnBwYMHsW/fPhiNRvj4+MDKyqqgk/panTp1CrNmzYFaLcZ337WFq6stikbJBbB8qRQQiUzYvPkqEhMz0aVLBTg6WgHwRGHskiyRSFChQgV07doV9vb2CA0NRUhICLZv346rV6/C2dkZPj4+r+XYQrVYEZeQkICzZ84AAMo0bAG5WgJzUfmu/gOTAZApgYCmzQEAMRdOITg8AdcLe/X833B3d8fnn3+OQ4cO4dtvv4Wvry9u3bqFsWPHomXLlli0aBFiYwtn/X1+OHv2LAwGPWrV8kDlys54MlpxUWFEYKA3ypUribi4LJw9ex+WoHMHhTkvTk5OmDhxIg4cOIARI0ZArVZj165daN++PT744IPX0h4jBJci7s6dOwgNCYFUrYF3rTpFthE/LyJYAoxzQCVYlXBB5sP7iAu9iggDYCziJTNvb29MnDgRhw4dwuTJk+Hl5YWrV69i9OjRaN++PZYuXfrG6sbfFIPBgKCgIABAw4a+kEpVKMwX5LyZ4OJii+rV3QAA587dh6WXWyaKQl4qVKiApUuXYvfu3Wjbti20Wi1++OEHtG7dGrNnz0ZiYmK+HUsILkXc3bt3kaXVwtHbD7au7sWm1AIAEFnGHnPw8oOzfwDMZjOSb19FvAl4WIRLL0/z9fXFV199hTNnzmDGjBkoXbo0goODMWrUKLRt2xYrVqxAcnJyQSczXyQlJeHOHcsUxVWquMJy+SlqdwkEIEHNmh4AgBs34kAaYRl+X16QCftXmjRpgj179mDbtm1o2LAhIiMjMX78eHTo0AG//fYbcnJevR3s9bXmCN6IO2FhAICSPmWgsnaAqTgFF1imWVbZKGHn7gkASI+JQrbZMiqBZwGn7UVMJhNMJhP0ej30ej1ycnKg0+me+T0nJwd6vR5ZWVnQarUwmUxwdnZGYGAgYmJikJ2djXPnzuHcuXNYs2YNZsyYgYYNGxZ01l7JgwcPEBMTCzs7Gfz8HFB4n2v5OwQgQpkyzhCLRbh5Mx5r116Co2MqjEYxLAGm8OdLJBJBIpHA0dER7733HrRaLS5cuIAzZ86gb9++6Ny5M7744otXmiFWCC5F3IPc7qw2Lh6QayRFvgtyXkQiwLqkpbE0MzEJRh2gzacWfZIwGAzIycl5/Mrr/zqdDllZWcjKykJmZiays7ORkZHx+P9arRZ6vR46nQ5arRbZ2dnQarWPg0d2dvYzy0ymF1ehiP7Sze/06dM4ePBgkQ8uMTExSE9Phb+/HZycrFEULsLPs5S0rK1VUKuliI3NwMCB23Pfm1dwyXpFEsmTqQOMRiO2bNmCa9eu4eDBg/Dy8vpP+xSCSxFmNpuRkZ4OAFBZ20IiwxudVfJNIQC1nQMAQJeZDoPOgEiFDLUBZGdmQq/Xw2AwPL74Z2dnP/f7owv7oyDwqNTw9HqZmZmP//+odPHXYPNficViSKVSSKVSaDQaKJVKWFlZQaPRQK1Ww9raGi4uLtDpdDhy5AhSUizT7UokEgwePBjDhw/Ph0+yYFmq98ywsVHC2lqNolclBlhaAs2wtVXAxkaJzEwDvL1tYW1tBbPZBkVjEL8nZDIZ1Go1oqOjcf/+fTw91GT16tVfqYu8EFyKMJIwGi31YFK5rGh+V//BoyxJFQrL/w05oNkIo0qGLbv2Ys7Xk5GQmASTyZSvwQCwBASVSgWlUglbW1uoVCqoVCqo1erHPx/9bmVlBbVa/czPR4HDysrqmW0VCgVkMhlkMhnkcvnjdS5evIhp06Y9DiyVK1fGpEmT0L1791fKR2Gh0+kAAHK5FFJpUZ5ki7CxkcPaWgkgA7NmtUCzZs1hMLSFZUiYwn+HJ5FIoFAoYDQasXXrVsyePftxYKlYsSI+/fRT9OrVCyqV6j8fQwguRdijelMAMBlNRe2m6aU8ypLJYAmiIrEUYrEUMikQGhqK8xeCAVgCgUKhgFKphLW1NZRK5ePAoFQqoVAooFAooFarn7noPwoCf/1do9E83kYul7/w9XR1wn+l1+uxYMECzJ49G9HR0VCr1Rg+fDjGjx8PF8vk8cWCOXdSniL9cG8eSpRQw9HRAYW3FTBvwcHBWLBgAbZu3Yrs7Gy4ublhyJAhGDVqFFxdX/2ZHSG4FGFisRhqjQYAoM/KsHRDFqFYlmC06akAALnGChK5FBlpwKDBg1GtrB/0OYZnAspfX2q1GnK5/Lm2jMIgKCgIU6dOxcGDBwEAgYGBj4eIKW7kcktvKpPJnBtoim7pxWAwQa83QiQS5QbLHFiGgVEUbMJeQnh4OH744QcsX74caWlpkMlk6N+/P8aOHYvq1avn23GE4FLEPbqzzYiPhSGbEEtExas7cq7MJMuDhVYODpCpRNDrAAdXO7Tv0LGAU/bfpKamYsGCBZg/fz5SU1NhbW2NsWPHYsyYMXB0dCzo5L0WNjY2AIDMTD2ys/VQq4tO190nCECMzEwj0tK0kMnEsLf/71VHb1JmZiZWr16NhQsX4s6dOwCAZs2aYcyYMWjXrh3E4vx9MkUILkWcn58fACAx8i50mWlQ2doVq+AiFgM52UakxVh6xdm6eUAkzn3A0oQieQbv378f06ZNw+nTpwEALVq0wJdffonGjRsXcMpeL2dnZygUGiQlZSE5ORMlStgUdJL+IzFSUrRIT9fD3l4NBwcVCnM7i9lsxq5duzBv3jycOHECAFCuXDmMGTMG/fr1e21DDhXBr6bgaaVLl4ZcIkHivdvISIiFxtGu8I9e/rIISBRA8t0oxN+5DQBwKlO+yI5CEB8fj5kzZ2Lp0qXQarVwdXXFxx9/jJEjRxb7McUAwNPTE87OJREdHYmoqDT4+3sUdJL+A0tvsQcPkmAyEd7edrC1VeDR8y+FTWRkJCZNmoQNGzbAZDKhZMmSGDZsGEaNGgU3N7fXemzhCf0irrSfH3x8faBLS0b01SuQSCwNpsXhBREglQMJd24i9UEENI5OcC1XDTQ9tU4Rsm3bVsybNw9arRY9e3TH3j278dlnn70VgQUAXJyd4eXlDpOJuHUrHoXxYvzPLKMKXLxoKUmXCygJG2sNLCMiF77hVM8EBWHt2rWg2YxBAwdg3769mDZt2msPLIAQXIo8Ty8P1KkTCAAIO3kIZpOlKqk4kEgsE56FnTwB0gyvarVh7+4GGovmZalunToYMWwolv/0I9auW4eq1fKv8bQoUGs0qF2rFgDgz6AIWIrYRe1kFSMrKxvBwQ8AADVrukIkVgMojcJ4VjZp0hgLF8zFjt+3YuWqVahRo+YbO7b0wN03dizBa2BlI4Z9xeYA1iPk2GFcOBkOKw8fGLQFnbJXJ1UC+uQEXD+0FwBgXa4lwpOkyM4ArKXA0UzASlJ0BrGUO1ZDj4k/QakETscB+TB8U9FBwNoOUPrVAQAcPX4PW86mooSHI/S6wtte8VcaaymunQnH5SsPIZHLYPJww8nYEsjOKnzD7YOAXO6KwH6fgASO3wcM+dweazYDajnQ0PP5m1ppGYf8PZjgzRJLgAFdWmHH0lIIj4jAwzN70PCDD6FLA1hELrp5EgEqG+Dcwf1IvncT1iVdUaN9GzhYAwoR4K4EyjsCUnHRyadIZCmNmcwAi2JHqVckkQAdm9TBRh8/hIffRejZOwis6AxDTuGdf/5ZIsgUwKbTYcjMyEGduh5oV98LClVNmBWFd7I3Ue7jCXwN/ScIQCbOu4pa6muf/wcUvFmlbFzRp08fTJ8xA2F7V6Pp4D5wcHeEoQiPMyaVA7qsbITtXg6AqNC6M8rWLI0cPaCQAU0dgTKagk6l4N/yLu+NVq1a4Mcf7+L8oSuYMLI6xBopisaEYRJkpKbi1N4rAIBuXQNQ1tUXlioxwV8VtQpPwQv0HzAAbm5ueHDtIoLWrwEkgImA0VQ0XyIFcGHLJtw9cxIqW3vU7jcEJhGgzwFqaIBKRePRAkEeevfuDaVShb0H7mD/oTAUnaHq5dj46zVcuR4PNzdrdOwYAKAUisKDkwVBCC7FREBAAIYOHQoAOPXTPNy/dAsKDYre0/oElNZAXGgkji/5DgBQvVt/eNSoCV0W0MwOaO0IyIUzt8iqW7cu2rZtA4PBjCVLTkOny0bhf1pfjvj4JCxe/CcAoGfPivD39wPgXrDJKsSEr2gxMmLECFStWgXpcTHY/93/oM/SQapC0QkwBKQKwJhjxqHZXyEpIgyO3qXRcMQYmAhUUQF1bISTtqiTy+UYPXo0VCoNDhy4jU2bLqJw3/2LAEiwePFpXLsWC3d3GwwbVhuAA4DiM/ZbfhO+p8WIi4sLvv76G6jVatzYvw3HFs2FVA5IZMj3AGOGpZeWOR/3K5YCcjVwavkPCN6yBmKpFC3GfQVbP194EWhmX/SebRHkrXHjxhgyZBBMJuLrrw8jLOwBAGVBJ+sFVDh+PORxqWXMmAYoV84FgAcAoX72RYTgUsx06NAB48aNAwAcmf8Nzvy8Dgory4U7P6lEgLMccJDlw8AXBEQSQGkLBP/2O/bNmACSqPnuKJTv3geKHKCBDaAUztZiZfz48ShXrhzCw1Pw2We7odVmw9L+UpiK2krExCTi8893IyVFiyZN/DBiRCAspZn/NonW20IyderUqQWdCEH+CgwMRHh4OK5euYx7Qcdh61oa3jXKw2wE+Gjk5FdAAjZSwEkBmABkGC37/E+7pSXwqWyAyzv3Yttnw6BNS4Zfsw7oPXMhStup0FQD+Ag3iMWOra0tvLy8sGvXbly7Fg2tNgfNmwdALJagcIzVJUdGhhajRm3BoUN34OpqgzVreqJUKRtYeogFovC3FRUcIbgUQzKZDI0bN8a1a9cQcuM6Qo7thcbeA6VqVYFIBJiMr1a9JBIBWhMQlwNkmADJfwwsJCBTAAoNcOHXrdjy6TBkJsXBs1ZDzPxpJXqXdUZlOVCyqHQmEvxrZcuWhUwmxaFDhxAUFAWplGjc2B+Wi3buXUuBkEOvN2DMmO1Yt+4SVCopfvyxE5o394OlxNIGgNAX/u8IwaWYUqvVaNq0KUJDQxFy4wZuHd0HkxHwrlkTSisZTAa80lh7IhEgFv3HelXLqOVQWgE0m3FsySLsmDQGuvQU+NWqj8VrVqNLeR+oAEiFNpZiLzAwEFlZWQgKCsLx4/dgMhlRv74vJBI5LGXjN02J1NRsjB27HStXnodEAsyZ0wJDhjQE4A+gFQC7AkhX0SIEl2LM2toarVq1QnR0NK5evoS7p48hPiwMLgGV4eBdAgDe/PD8uT3ClNZAfFg4dk4ej+OLp8NkyEHbjp2wctUqNChT6g0nSlCQxGIxmjRpgrS0NJw9ew4nToTj4cMU1KnjBY3GBpYA87rbYQjLIPEqhIXFYOTI37Bp01WIxcDMmf3x8ccTYKkGqwFA/ZrTUjwIwaWYU6vVaN26NRQKBc6fO4cHN67g5uF9gEkG57JloXFQgGbLAJGve9RwicwSVHK0OpzfuB5bx3+AOycPQiaVYMyYsVi0cAG8nEu+vgQICi2JRILmzZvDbDYjKOgMgoMf4PTpcPj52aFUKWdYqsleVzuMCIASJLB16yUMH74Fp09HwdZWhe+//xKjR08D4APAFkIfqJcnIovKyEyCV7V1+++YOnUKrl+9CgAo3aA56g8eiYBmbaC2V8GoBwx6gPnwHWZuoBKJLHOyyJWAPk2P2ycO49SqHxF6dDcAIKBsWUyaPBl9+vQplNMQC968lStXYtKkyXj4MAbW1jKMGlUPI0fWh7e3EyylmEd1uq9KDEvvNBGuXbuPBQtO4OefL8BoJMqVC8DMmVPQoUPvfDjO20kILm+Z8IgILF60CKtWrkRqWhoAwK9BC1Tv2gf+jZvBwdsLIrGlV5nJYCnRkLAMfIenfuYSPf7Hspy5gzPK5JafUgLahzG49scfCN66HjePHwDMRlhp1Bg4aDA+/vjjx7NpCgSPnDt3DlOmTMH+/fsBAP7+JTBoUC107VoZZcs6wRIYTHhSZfZ3l7FHRXJR7naSx9tfuhSNTZsuYd26C4iJyQQA9OvXB5MnT4G/f9nXlb23ghBc3lJ//vknli1bhm1btyIzKwsA4FDKH2XqN4V/4+Zwq1ANNq7uUNspIBLnTin8VGAhnwSWRwUOOzmgFgOZKQbIkmIQc/MyTh05jFsnjyA89BYAQKVQoGPnzhg5cmSxn9ZX8Gqys7OwevVKLFo0E6GhMQAALy87tG7tj3btyqNmTTe4udnhybMxj89OWM7Opy9tYgAimEw63L+fgjNn7mPXrhs4ePA2EhMt81PUqlUbn3wyBt2794RUKkzS+6qE4PKWO3X6NH779Vfs2b0bd+/de7xc5egEj8o14OoXgFKlS8PDuxScnZxg52AFlVphiSgEdDo9UpIzkRKfAMPDCKRE3sG9sNu4eTEYUTExj/fn5emB1m3aonfv3mjSpElBZFVQREVFncf69TOxYcMRXL+e+ni5r68dAgO9Ua6cM5EwhvoAACAASURBVAICSsDDwxa2thqoVHKIRGKYzUZotUBKigoREYkICQnDzZv3cfZsBGJish7vp3btQAwaNBA9e/aEo6NjQWSxWBKCiwCAZa7tQ4cO4cSJE/jz9ClERUbCYHrS+CIXARorKyhVKshkckv7CAmDwQCdTovszAw8PeeTSCSCp6cn6tWrh8aNG6Nly5bw9fUtgJwJiodMxMWdwv7953DgwGUcP34GDx8+fGYNlUoEjUYOhUIKkUgEs9kMvZ7IzBRBr396/gkJfH1LoWnTJmjTpg2aNGkCe3th7pH8JgQXwXPCw8MRFhaGixcv4saNG4iOjsbDmBgkJScjIyMDOp3u8boKhQLWVlZwcHSEi6srPNzdUb58edSoUQNlypSBr6+v0FAvyFekAbdv38GNG7cQFBSE0NBQ3L8fjbi4eKSkpOaen0YAUqjVajg42MLFxRmenp4oX74C6tatgwoVKqBUKaHL++skBBfBP9JqtUhJSUFqaiqysrKg1+thMpkgFouhUCig0Whga2sLe3t7aDTCU8uCN8tsNiM5ORlJSUlIT09/fH5KJBKoVCrY2NigRIkSQunkDROCi0AgEAjynfBEkEAgEAjynRBcBAKBQJDvpCciCzoJglciApQqAEZAl/OCVURPHoAUCASC/GImoJIBtdwsA9k+TeoojMFWpIkkJmTE34dRXhKOVprnxgYTSwCl3PKkvT5HiC+CwkkqA0RmwFAQgyAL/jMSkEvyHpJQaNAv4hh9Cj17jILHgPn4fkTT5943xd3Gsl+2w7l2O3RrXLEAUigQ/DNqM2CQKiGXyQo6KYJ8IrS5FHJJD85i7S/LsPSHpdix7wgSdc+OKnkx6DC2BF1Dak7eo00e37EIH4z/AnPXHsELas1eCnUpOLZzG66EJ/3LLU24fHQndp68AsMrHF9QfBnjr+CDPh3w5S9n8nzfkJaAnZs34Y+rQh1+USIMoFNoaXFw1Tf44pvvcSniyUOL1dv0x+w5s9G0vDMAI64EnQVETmhUq1Kee/GqUR+9u0ehTaemeJUJHcPPbsa7fUai8/fHsWTYy48JFntxC/p07ousuuMQvLcKSgqzwr51dOl3EXThNnQ6wNHFHZWrV4byqffDzh/Aqh1/oGvd9Dy3v7B9HjoN/g71h87D4Z8+fmbbf8WkxfULl6DxqQwfJ6uX2oQGHR7eDUdU4n2kZJoAqFG6ciDKuP3nVLw9KCiEcrh1+vu0AWhXuh5nLF7FdevW8NN321ED0K1mf95KM5JM4cctAigt3YVhOpLM5PVLFxkRr3uyJ10Kk9Kyn929OYuh187x8s0IGp47tpY3rlxiWEzGM0t3T+9HiciD6y4mvXw2jImc2KUCAdAqoC3PPND98zaCYsTEaweWsG1Dr0ejSlKqtmO798bx8oPU3HXM3Pi/jgTsuPBIVJ57ufnHj2xUP5Bz1wbR/AqpiT63gf4OSn607I9/WNPMhHvBXDp9LHu2b8FyziUpfTIyJsvU6ctDN2JfISVvByG4FEKhRxbRA6BTlS48cifxyRvGDM7pU4+Ahr+cSyH1t9imoh3rfvgj0xJCOeHdxlSpNAzsMpXROSRNcfx6ZCvWbDmKt1IsuzAnRfKboV1orRTTxrkiv991+ckXVh/LeaO70UqlYtkmI3gjLp2n9q3g2DGj2KC8G6EqxQ8mfM4xHw7h5/M2MzHn7/MRvPZL2qpt2bZnVzo6uHHyhrOv4dMSFFZ/rP4f3eQgbEtz1IRvOG/ut+zbshYBsEKrj3k300wygxPalqfIswWvplm2i4uO4dP3Q2ZzBuPi4mkyPbv/5Lj7jE1Mz/PYCbExTMkyPrPs6IL3KIITfzod9w8pz+S6ib2oEVmCSdlGXfnZxBmcM28uJwxrRgBsOnY19f/u43jrCMGlsMkO53sNnQibAP52/vm7o70zexNQcPnpBJoidrOmqwMHjp7Czs3Ks0zVxuzUrDalSif+fCGFTD3LQHdQWqY7b2eS1MXzm0H1CDiyQ59+rOSsZOVu31JLkuYM/jSmAxVSWzZ6px4lsOY3v/3JX7/u+sxdm1TpwsB3OvCLxduYanwueY/pEy+ybRlr+rf/nLGJt9mtopo+7T9j0t9sIyg+Hl7ayApWoMY1kJvP33683JweyykdaxCw5c8X0khDGDtVtGGVQbOYrY3j0gl96ePmwTbvLWSikaQ5lT9MGsjOg79iREbubZAulSu+GsXy3o70qdiIv5wIe3Jgcyp/nTmaZUp5sH7PibyXquW1s3v4/fzv2DHQl1D6cfKCRfx+3rf8YdMRpj9fdCdpZvLdk+xQzZqasq15/uGTEnfw6o8JgMPmH6BwKv89IbgUMiH759JOBHYcvz6PdzM4uWslSp2a8UqqiQ+O/Eg/uZxyuYp1+n7C6JQc3tr5LW1lKi46Hk/eP8xqTmD1IbNJkieWj6VCacOJay8wI+Ic25Tx5Xuz99JE8sbO2bQF2PmbTdRmPeRXH4znhj+jqEt5yOPrvqO3Us6mg6bxwvVwpmv/KRcm/vxFJ0LmwhVn40gauWBgY0JWlluv/otqNUHRlBPDT9v5EiJ3LjkU+tzbB+b0IyDnwmMJ5IMDrO5sxwEfz+JH7zaks5sfa1cuTZnak+uvZJDpF1jXAxR5teW1VDNp1nLZ5z0JgNUaNaanlYSVen+XW4owcufM4VSKZCxd1oeAhtO3XuDGKe0f3xwBoFyhppNXGfabvILJL4oQKVfZqbyU1XtPsfzfrOWJjbNZ0dud3UbPY0x2nlFJ8BQhuBQqRm6Y0IEiqT3XBD1farl7ZAld5GDTT1eRJI/+9BmlAL2aDWNYMkmaOaN/TYpKNGBwCplxaQP9VWDHiRtJQxI/qO9BK+9mnL1oNptVKs02vWdZShL6h/ywqSedKvdkaPrztdo3dnxNlVUJztx756VyEXN+AwOsQbFrGQ4ePYg9u3VkNfcSBMDuk9e/Ur25oPCLOPkT3STgO+8v5vP3IXrOGlSLsA3kn4kmxp5YydJyNR1sbFihdU+evZPEkJ0zaStScM7hODL6GKuXBKv0+4Ymkpc3f0UbsZSDvtvKjKTL7FKxFDt+uYlmkpHHV9JDBtb/YBHjHoZwVI+BXHrwNjOjrnPzvM/ppVKwVsfR3PT7H4yIzX4uZU9LurKDVZUyth45n2eP/M6R7RrSGiBK1eTOkPjX88EVM0JwKVR0nD+wASXSMtx359nG76Sbh9jCV0pNmdY8E5VN0sQfP2lGhWtl7gyxVFaHHFpMVzHYctwamknGnPyR3mIZRy35kzkJV9nc156qkl4sV7MRP5u3hVqSWSlJjDr/GytaqTho7t4nBzTrGBefTDMNXDq8Dm1ca/JUlCVNWSnJzM75SwX4I5mRHNHCn5Aq6O1XlrWa9+SY8d9ywZJ5bFHViXKvQP4RLjTsF19m/ja1GwErLj324Ll3Ey5tZoAGrDZoLk0kT62ZRCVA26rtGJTb4WPpqEaETTWeiDUx++pmllGAbT5dQxrT+UkTX6rdm3P15o18t0F51mo5lnfTjKQpkRM7laWNXwteiLcUR/Q6Ax+dpeFH5tPWxoFTt4e8VC5u7VtMW7ED+0+Zyy+71aRvpcacNnsm+zWvQhffelx76rZwk/QPhOBSqJi4e+5gAmCvyasZl55DbWIM96+Zy0BfO0qdKnLNiXu562bwm14B9KzRk/dSs3lh32JWcpfStlJnBufeld3cOZslYMeJG25QF3uWVUpI6N58CK/GZ9OYFs41345ii04DuennBXSX23Hk4kPMMekZFnyII9s2Yq9PltPETE56pwzt3Fvx0v1Unlw3nS1bDeL5uDyaM03Z3DClKwGw/7QVjIhOeqYK7fSK8ZQArNVvOiP/rsFGUITl8PuB9QlJAPfee/ZvrH14if1qOVPkUIO7biaSNHHlF20osyvFFacsJfXYC7/S1wasOXgec0jGnf6RHpDw/fknqE8OYasyDhRJrehauiL7jZ7L+7nt+QnXdrGanZo9v9r6zDH1uhySBq76uAWtnSrxUFim5Q1DDg2mF4eHoA0TKbYqyclbzzMjMZpxqZYTOe38amoA1np/UR6lMsHThOBSyKTfP88eddwIgK7epenj4kQxQI8qzbnh1N2n1jTywOKPqJZI6erhRSVAa/8m/PVC+OM1glb9j3KxK2fsvkOzIY5jWpUlIKNf2XL0dranUlqSExf/zqSI02ziJCPktvT186GjjZruFZpxZ/ADkiauHG3pIePs4kobjT3f/Wo9M/OIDea0G+xR0YFlmg5lWMbz71P3gF90q05Ayk+WH83vj05QKJj521c9CUg5auEuZupNNGRn8srBTewR6EmIPDhzy4XcdTP4Te+KdK/WgxE6M6OCt7J5OWuK3erxaJilq3Lonrl0gDU/++UKdQlBrFxSRpcm/Xj8ZgT1+gweXfc9e787hpt/mU9365IcveIETWYjU6Kuc8bIdzno89U0MJtT21SmvUc7Xk3QMvTwag5690NeiHtR1ZieK8Y0p8LWm1uvpTyVtSxunNyHgIwfLz/GF5TdBbmE4FIIxd45wbF92rBatSqs1aQlx81dzXtxac+tl5MSxZnjBrJmtersP+IrnglNfOb93fOGERJ3ztlnaVSNDj3MMe82Y5Wq1fhOlw+4Zd+t3DUNPPvrIrZtUJs1atXjR18u4s2YJ8dLCDnK9zs0ZY16TfjVij0vvmMzZfN6UBCvRia/MG9ZD29y5dLFPHb13gvXERRtibcP8x1/DSGyYp0mbdmyYR3aA7TzrMC5v5556qKs55ZvB1IttWW9Js3o4yihtEQZLjx09fEaZ1dPokzixGm7w0h9NAcGuhFyZ7bq1I2t6pejRGTNAZ+vYtSNg6xpL6atW3m2bteaVfxK0NqzKlccuEXSxB+GvUNAydoNGtPL0YqtP5zP+Bf1JTbGc3RDb0JdkTvPRTD4zGke3r+F43o3pBhg414zGZshVIr9EyG4FFZGPVNTU5mh/4eHSWhiWtqjQGBkdFQ0tbnn/eKRdQmHAG698lQPLZOWKWlpzKvVQ5+ZzvSMvO/mjLospmUJPfsFL+fOhV/ZvXElOjrY07F0Ofb5eBrP3Hy+DUYbF8KxvZuzhKMDm3UYyh1/3n3m/X0LRhJSF87ca7lBCjuzkd2b+tPRwZ4+dTpz4aoT1JtIUs8DiyewsrszHRxc2WPI5zx+/cnxHgRvZbuafizp7MehXy1nwt99rcxaLvigF1t1G8n5k0ZSA1AsAe1K+HDUtOWMzRICy8sQBq4sRqiLwAfd+uGWfQt80rMUvh46DAkB7+P0gR/gLoxWIXjDDFlpSMrQQqJSo4StTZ4j5wIAjVrEJ6bDztEZChmQmZEJK2vL8Cw/fdIUw1fcw/pj59C3hpNlv9kpSMrIgdLGEXaqZ0ewSk+Mh5YSOJd0fO442rQkpBulcHa0/ce067OzAZkIYee2Y/XmP+HoFYBWXXqghp/zv/sQ3mJCcClWjLi8bzUGD5uIu6la0KUaZi5eiVGt/As6YQLBy9FHYGyfkUgu2xWfdPXChN7dcMG6E86eXgdfzYvCk6AwEoJLMfTwzgUEXYmCe6W6CPR3LejkCAT/Qg6OrZmF98bOQDKIdIkbJi/Zgqm9qxZ0wgT/khBcBAJBoXPrzD6cuBwFlyqN0LZuOQizvBQ9QnARCAQCQb4TJgsTCAQCQb4TgotAIBAI8p0QXAQCgUCQ76R/3i/oJAgEAkHRZjQDdkqgsvAYzGNS9atMrC4QCAQCmM2ASujS9gyht5hAIBAI8p3Q5iIQCASCfCcEF4FAIBDkOyG4CASCf8WUo0NCfCJ0xpfdIguHdvyMbUcuw/zUUoM+ByahUr7YEoKLQCAAoMW1QzuwduPvCIvPynsVZuPE7rXo2aE16tWrj/Y9hmHbqev4p/igexCM8SOGYOLyncjMXZZ+5wj6deyKhRuC8zMTgkLkb4MLdVm4efkyolJy8l5Bl447N0KQmWN6HWkTFElGRIRdR+TDlIJOiOClEFFX9uOzrm3QsGVnDOjbBU27vI9zD7KfWcuYFokZ7/dF844DcPRqFOzs1Lh2cCW6tW6Pqb8cw99dAWLDbiA+3owq5cvAGgCMDzHjow/x28EDSDQaXpAsA8IvncOpoCtI0QnXlyLp7yZ7iT2zkQE21qzbfy7T/jqnZ04CF47uSA9HJ87dcymfp5kRvF4GRoWH8urVK7x2/SZDb9/i2h/mcPT46bz2MOvxWlG3g/nNhHHs168/v120mVGp/zRxGZkZeYQNyjmwwxdr+GgmZG3sJc7433QeCX74mvIj+K9SQ/fzHT8rQuPIXh9O4tJFs1jdtSQrNu/CwyHxlpWy4vhln1oEwDYjZjIkxjJxfXjQb6zlLKXCryWD4158bgSt+pRqqDlrdziZ/YBT36tHwJ7Dpv/GdMPz698PPcKP+7SkuxQErNh+9GzGChPWFzl/G1wub55KW4Cwr8o9oU9Pim7mlukDCICAlF/+cvq5bVOTEpiue37GtoQrJ7j026mcMX8N7yXnnjEmPa/s3cjp/5vM5duOMzuP+dkF+cScxVUTh9DP15/Vq1dj5Qr+dLbX5P4t7bk2OJY0ZnLLrHEsVVJDiVRJpVxKQMKyTXpw/7W4v919yK6ZLAGw73dbcpdkcM579QmI+L+fz79wO21iHGMT0/Mxo4KXkXJrH+s6gRV7f5o7fXUie1RzJKwrccvFGJLk0UUfEADbT1jBv07C+NuUnoTSmyv/jH7hMfbMHkyJxocLdxzn1B51qXF043drjjCvr/mtQytYw1tEWPly6JgPWdNbQ7uqvXg7I4+VBYXa3waXPfM/op0IlELFsUuPPl5+bcd3LFXCiTVr16CTU3muOXn/yUamZO5Y/AWrVwxgq0FzGPPopDCmcd+SSazsYm25kCkrcN2ldBqTbnPWsI50EoEA6NhoFO9lvo6sCsgc7p4/ii5OFThr8x+8dfMGz5/ex5lfDGXvvn351dKd1JqyuGJid8oABjTpz53Hz/Hm9ctcN30krQEGtB/P2LzmSM51cP5IqlCSS47eJ5nFdd/2pwJg06FzeD+P21RdWhjXzviUDcuXZkC1hvxu01EKN6lv1t3g7ezTsRm7DXiP77avxfJNenHn2XCSpCHxGrsEaOhUbSDvPveHMXLFmJaEjT9/vZL4gr2buWFKT0KmopO7Cx29Avnrxcg814y9vIOBJWW0LtOcu4IfkIZI9gz0Zvsv1vGvFSeCwu/FwcWcxqnvVqNPYHN2qR9Av5YfMY2kLvwYa3op2G7M91w/fTht3RvyYFjuvOvmDP74ZQ8CoKuPD63kcnYf/SMNNPPM+gm0l4ABTYbx5+37eeLcDaalJXL2e3UplirZ5cN53HPwCM9fi2KOMEX1a/Hg9Fp6AnStN5i7Tp/l7dvPf8kvbZxMNcCa/acwIv3pr3Q6J3WuRDhU5v6wF0V/M9dN7E6RQy3uvhrJNV/0pEwl56CJy5lXjVpCyH72aOpJSFQMqFKRKhHo0XQYH+jzJbuCl/Tw8n62Kl+aFRu0YfPatdj3s2XMyP0ORhxeRCeAQ78/9OxG5iwe/GEkHQBW6fw/xuZRvWWh49xhgRRJVbSyVlJi78PPlv/KmKy/lFtyYjmxcwChqsItl5NIkttmDaJarOH3B+/ka34Fb8YLg4sh4SLb+0jZbOhc/rZkLBWKUlx+5AQndKhIpxoDeC9Dy+/fq0NFhfa8mGC5CB1b/hmVAJuPWcCYtHAOqath2TafUE8T53avRMCDW64+qfowPjjD2ragTfX3GPP68/rWi7tyiEOaNmJAWX96e3nQx9ODzbsM4MY/LXepzLjNXhXUtPfvwksJz1daLB/ZhLApx123XlR9lcPFY9sSdu6s36gu3T2qcu7256tMSTIt8jQ7lXMk7Mpzzm9BNKWGsm0lF7Yd9wv/uWVHkF8Sru1jIy8HNh0+n+kkmX6Dnat7s92nK5hDMmjVREoh4tCFBx9vE33vDKcPaUUrgN51OzAoIvnFBzAmcGxLDzpW6sNjwaf5ec86FAH0r9+DW45de1w1Fn36F3oq5Bz8/X6S5L6fPmNJWxDyAG4O/vuqWEHh9MLgcv/kctpL5Hx/0XEm3znGGnagTKGirUdtbr+YSDKRw5qUpFeTwYw2k9qo02zgIaNX0xGMMZFM+JP1XG3Y8dOfSZIXfp1GT7WG3jW68MdtfzDTQNKQyIUjWlOtsGLzAeN56GLUm8n1W8yUncnYhw8ZHRPNwzuWsrariOqy7Xkjg4w5Oo+2EHHYwiPPbXdjzywGqMHSzT5+ccnCnM4p/Srltt+A9pW6cE9IHhcGUxKn961CwIOLDoSSJE+v+pj2KicuOvYgH3Mr+Cenln1KAKzffxS/nfYNPxjWk9YA7ZuMZQbJmBMr6SkFVf6B/OTzKRw3uhf93EUExKzf+xNeeJD29wfIvMWepW3o1/l/lqqtnGRumz+eZe3EBOzZoftwLlr3Ow9tmEkF5GzW90MO79WSZcrXZ+fW77BkqRY8ItSTF0kvDC775/UjpBrOO3ybpJZLP+1Az/JVuHD/NcsKKbfYp6qcVTqPp47kkfkDKFe68OegBJLZnP1+PQIyfvDjH7l7NPPK/l/YrXlNSlXO7PHpYsbmkMxK5Nb5E1innBvtvSpx5ubTeTb0CV4DQzI/aeFH2Ffl2TTyj4UjCag5bWfIk3X0idw592P6akAb30r8/e96fOnvc3hDG7rV7MZFS2cxsJQ1RSW8OPyrlYxKeVLFdv/kKnooxOw9fQdJ8sbRpfRzklJkV517X1jlJngdkm6d4MiuDekos9wQSGxKskWX/lx98qZlBX0if/ikF62llvft7J3ZtG03zl2/nykvUX2pizzMyiqw6ntz+XRTXfTF/fygY3UCYNPBsxgZeZbdqpYgAJZv0497L0Vx3fhuVFXpwRspryXrgtcs7+BiSuLEDuUoKRHIY3csLfI52Qm8F/PkLlR7/082cwUrdBhPnSmL0zpUpnPld3k3I40rpg2kUqagRm7PMT+dembXhqRQDm7uTog9uTXkSbfX8FNrWdYWLNnwPcYIde757vbRFWzdoCE/mr2CB44f4ZaVM9mpnj8BKTt8ZqkCObP8M0oAVu/+EXfvP8qt675jp+ZlCIBOVdtz64Wwvz2GKfk82zspWHfgfJJk0uX9/KhtZYoAlqrekXOWbOSlsHvcu+hjQmTPj75fz3WzxrBSmQCWK+vLkmU6MChO+OO/aUZdCm+c/5PHjx9n8I1QZj/32EEGL+e+f+NmGLX/4u5PH3Oeowb247JjV55/MyeB586eZGScpadAVnwoT509z3gjScZyUO2S9Gozhn/Ty1lQiOUdXFKvs5W/mqpKvfmiG0l9zFm2dQXdW49gmiGZX7auQGg82bBxFWps/Tl1yWr2qu7Aap2+4MXg8/x8cC926dKdbZvUo4O1mHV7TeSWDb9wQM/u7N6lKxvV8Cekjhw28zdmv8YMv63unfqFdX1LPK6yAkCNS1mOnPQzYzItVxPtw/N8t5b3M+s4eQZwwOfzeCP6H6o/SGaE7GAZgO+MWfWk9GlI4q7vx7GCi5wA2OKDBTx/ZA1Layz7ty1Tkws3n+b37zdhifqDeV/oKvbWOb15Jt8fN4NX7iU9Xnb1txm0Afju11so9O8pmqR5PlmpdsOwCTPRRVMW7pq8H76UO1fAlwuW4a5tJVhL7dBlyEDsvD4Xt1KtMX3NSozuXAM/xx3A+e0XcO6SD4KOHkFwohbOvuUxdNJKjBnaH9d/+R927NkLk1iKig1aYcm64ejfrRlU+fF0qOAZPvX7Y9fxytix7xCi47SwdSiJui07oFYZ98frKF1qYv6mLaiz8yhSs40o5VMetRs1RBl3x5c6hkFnhKZSZTR/pyIkjxZKHdB+7GxUad0KW/cHo17rQagZYI3V67Jx4gHQtNu7qOOaiQEzLsPGuxZshPmF3jrW1tY4tWYM1v64GB17d4OPtRG7li+DqWwrDOvXAqKCTqDgP8nH+VxMeBgVAZONMzzsrAAAORkpiEvVoqRzCaTGxyBDa4B9SReUsLO2vJ+ZjujYWFAsg7OnNzQyYaizosyck4WHielwcHGGSpz33zL40K+4bfZBn1a1Hi8LP/Q9Krf8BJ2+/h1rJ3USLiZvoajLOzFz2hJs2HkYqQYzytZpj2+XLEC36r4FnTTBfyRMFiZ4g8zYPnckBk5Zi6oNu6PngK7wRAqWTfoU+7JKY9/RA2hdzr6gEykoKNTj9vVbSMoyo1TZ8nC1VxZ0igSvQAgugjdLn4Sty77C1DnrcP2+ZXBLtVtFfLV8Nca1rVnAiRMIBPlFCC6CAhF/7xr2HjiBZJ0YtZq3Q8NKXgWdJIFAkI+E4CIQCASC/7d3n3FRXGsYwJ+lt0UQBOk2LCj2hqKo0agRKxhj1KgxlkSNscUSEzWaqNhijGLsRI392rBFo1hAwHYFrKB0EekssMCy+9wPIJHQTC4C/jj/D3w4M3Pm7DC775wzZ+atcBr+MVXdBKFGkqDwxj0L/wjCu0lJoJYO0KJOVbek+tCQiKk5QhWTFP4RhHeT5NWTYUIhMSwmCIIgVDjxYIkgCIJQ4URwEQThHZGJG5cu4vbT1KpuiPAGRHARBKGIPFkk/O/cRHJe9Rox9/Najv79XfHbtbCqborwBkRwEaqthOdxSMlSVXUzahT5i1v4etwwDJ24EtE5xYNL3LP/4scFszF0iDvmfu+Jh/HpldKu1CfnMWvuSsjtB2B83+aVsk/h/1Q178sUqg8F0zLSqKhmr5594P0zHRu35KrTT6u6KTVG7O2TdG1rSQDsOH41s14/J5SZPPXzN2xU14CAOvX1dPPTmTv05N7rj8usN0suY2bW/5FKITeB3wxtQejYcvuV8MLinJdPeXjd95wz51v+cS/i39cvvBUiuNRkWTHcPGsYe46ewfBSvvsZ0cE8fOAQH8VVXhKvSV6hUwAAFftJREFUnNgb7NtQmzB35uVnqZW235pLSb9D69iurh6N61hQKjXh/B2v5WFS5dJr6RgCYD3nkTx+NYjRUVE8v3spLSSgeYdRfJL29yQwr7aV8Ydp/dh31FKmk1TJo3l45zaeuxrMV1vkvAzl7zt38ExgZImv17+y7UuqQ8KJP50ubO/DC150bW5RMAFYmxPWnGMpLRCqiAguNVT283uc496B6gDbfeJBWbFvZi6vHN/IXo62hMSEa088KqmaiqdK55rPuhKozR+O3P2rPC+TQX+e4QnvPxidnFn69sI/lMbD6z6ntYEB3b/aTt9D69nEoT0PBckK17h/zIO1ADYdPIthia9nClNxy5d9CL0G3HvrRcnVK+I52bk2tRq480lCBJd+0oUAaNisNwPjSWZFcM7gZgRAqy6TGZZWNBNZyqMzbF0bdBi4gPEFqSxfBp1gF2ttGtt3p8eO4/zTx49PX4hzoroRwaUGen7nFN3a2VJNTZ3qOkb87sCtwmUqRSZDb53jnI/70trCnLWketRv2J0+kW+Qwk2ZRs+V0/nj5pMFV5FyPr53j3EJr/V68mR8GBzM56XkyL17dDkNAQ5b4MVXCQiTH17n/A970QAgYMC5Xv7/9qMLr1FlJ3PHdx/SQNuAY2at5J3gIP48axClVs25+fhVhjwOY1pKOD/vZkEN6968Flf8f3Zs6QhCz467A0sJLpmhHNWyLp3GL+WuZWNpatSIwwb3oJ60Iff8N4mnPcayjkUzfjTUmYZ1G/HQndfqyYvn3AGNqGHZhdee/XUO3dgxmxKA41ZfrOhDIlQgEVxqmIDja9jCQsqW703n5mXTaeXQkcfupxcuT4v156COdmzccRAPXLjGRSMcaN9nFlPe5J5MZiiHO4CWnScxJSuZO7/9kMZaOuz+8ULG5ZBUvuT6qe/TUFef/aZvL9Zbyorx43s2OrTuMoFPCy6ck5/8ycGtzQmdRhwx5WuuWL+Fvo8SK+x41Fw5PLx6Yv6wkqY533/PhS0dLKipJqGGtgHNzYxZx7wxx08cx6ZGmhy55GixGsJ8PNnKTJ11O49jqKzk3Mfy8D/YwaY2XQa5s2UDO87Zc4khp9bQRt+e6/fs5PuNTDhy2Tk+PLeWWlIzLj8eUrjtn5unUQ0G/Oa1ix+STH16hW6tbKhn3oKfL97Ch3HZFXtohAohgkuNkcsL2+exvqmUw6YtY2RSCvctdKe5Qzf6hCYzKzs/v7AiN5MRkRFMysgj855ySPNadFt68I32oEq7R7cGUvactIrHPWextp4+6zeoS01LJ/q8UPDKtpk0MTSmvW1tmtq7MCDu9eToMq78pB0l0qY8cS++sPSMxwQC4OydARV5MAQqefXIJk6a9AWXbdxKn8CbvBd4hu/bW7Kt22I+Dg/mvl9WcoZ7f0qhy5k7bhRumSt/yVM/z6ODHqhm3oy/XwsrdS+yByfpaGtEDYDN+s9gAsnw06toZ2DEVq2tad2kNwMTycgLm6ivbsS5uwNJkqn3vdnKBOz0ySrKSqo34ja//2IoLUyN2LDLSF56Ii44qhsRXGoEOc/9Ojt/WEndgh+6udO1fxeaG2lRQ7cWW7fvxK4u/eh1peh9laTA3TTXNeKCfW/2w54WcoyOpmYc/vlMOjex5XiPAzznOYd1zLryyIUz/MC+Ft0WHOAZz6nUMrGjV0Bc4ba3939LHahx0qY/i9R5/+TPtNaVsGmPCTx1LVjctH2bEv/LXg3r0mWmV2HRs7MbaAzQpudI7tl/lHt3reSg3k0oAWjm2IsH/B6WWWWC/x42MgSha0vPq89IktHXttIGIKDGSetOkiRfBOxnI3Www+jVjI9/wW+HNqeWnQt9o8oejt3/40gC4Nifzv6fH16oaBpVNgdaqERKRMUkwM6xHZp16YLOzRtDMzceoTfvw8x5LGaPbADv3aeQGJlSZKvkF8+QmasHOxsrADl4ejcEcl1TNG5qh5JS3efIZEhFDnwObEOtVqNwcPYIxO++DQ1VPPb89B1uZzbFka/coXchGLmZCiSkZ+VvF+WLGV//ANsBs7B8Yq8idToM/Bz7d6gw/1sPjPjgDNymL4bHok9RV1fzLR2rmkuWFI/YpESoxURBpgSk6kC9zh9gvKsX1nnvx5jL+6GhrgaTuvUwau5qzJ0xCS2tDMusU7uWFFACjfpOwKhu9QEAFg5OGPGxC8J1BmDxJFcAgFmzjujTswE8967C6OQLuHkuFFN/9UQXG90i9TE7CZsWzcfJkGggV457t3xh1NAFQ5wd3s5BEf698uNPHtMS45icLv+rJCeT8fFJ1e7ZCKF0yrxcyrOyC6d6KiP92M6mDl1XFUzvVCmoVOT3CxTZMsbHx/Gox6eUSvTYufcQurt2p7mGJjsOm8u4kofXGfGnJ820QWjX5dqzD0iSd/YvZu3898Vy+Hf5w2shh1ZQFxoct+4SyWyuHtuZMGpD70elTztWpUVx8djOBDT4/bG7pa4n/HuK5Iec2Lc9PxiznCmKv8ozX4Ry3/bNXL1mNQ8ePslnsf9gCEqZxDNH9/DCnbgixSqloti046ggf+7evZ3zJg1hv0+X8oWcxagyojmjTztKpVI2bOzAsTOX8HrI8zdvj1Bpyg8uibc4unsDDp+/g69+U7zXTWRzp/F8mCaiy7sq9ubvNDfQYo+F+/h6rLhxwpP9XNqwtrEJ9bU08x+Ua9OZH42ZyLnf/MRrd5+VelER8edGagC0d13IxIJ1EoOPskcTCzq+9wUfJuT/YqU/+YOd64Iw68TZs6bRWkudn5UwrKHMTKH3bk96eKzhqsWL2KOVETVMGtPLN7zYukLFyEpPYbqshF/1ypSbyayc0n9bMtJTGRsby6QU8QxUdVbusFhy+GNcvvoMLdoWvIYjNxL7dh9EvO5wGGi/3V6V8PboGZqgrq4mssOjkAsgf/BBBXXKUcvUBj3e74Q2zW0R8SIe/acugJuDebl1Wrbtjq+nTUWDgeNhUpCfxaSFK7xONYbEsCFsTPNPN6m9CxavWIfDvvcRfP0sjHpMwcIJfYrVp0gOx8YFX+F8XA6groPO7w/EtuXfYKRTvQo7DkJRulKjqm4CoKkH3TIW60trQV9aq9KaI/w75eZzubFrIXrN2Ie1J33xRQ9rZAT/B46d3dDs81/hvWaSeDnZu0opR3DgLaiM6qNlM+uiubqoAiVqlZK/K/bxPcgMbNHUyrjYMiqyEXIrAJFJ6TAytUDz1m1hrCPOOEF4F5TTc8nGndv+qGXTBN3bWQPIxI6NvyAiC+hV11IElneZui4cnbqVvKySAgsAWDVpVeoyiaYOHJ1c4FhJbREEoeKUHR/yUvHsSQzqWDvBQQr47VmBZXsvQ0NdD0Y6epXUREEQBOFdU27nQ00NiI8IxJLFX2DolA1wmTgf/R2McSvoNuSq6pXvQRAEQageyg4uGqYYNHwgJGHn8MP3v8JpwhLsWLMMI/vYI/DsXgTGplVSMwVBEIR3ieRRYtk39LWVqbhy9jQSJJboN6An9NSBpMh7uPzfeLTv1QtWeuI5TEEQajYlAX1NwE5MYiskOfW47OAiUQekhoA6gAwZoMgDNHUAAx0gIx1QiESBgiDUcHkqwFQPcLat6pZUH+VORRYEQRCEf0rMJhYEQRAqnAgugiC8I4gX0ZF4kZJb1Q0R3oAILoIgvBMiru3CgB49sPpkSFU3RXgDIrgI1Zq4IVh5MhIjkSNLrepmlEiRFIL502bjTrIherSzqermCG9ABBehWkoKOY/Rw0Zgh09MVTelxtA1toa2Rhr8rp+Bt/dpXLgWBnkZ66dH3sX58+dxL/ptByQF9q6ch4NBcsz5aQsGtqhTUJ6NBz5ncfQ/pxEWL565q3aq9qXMQlXJSn3Jh8E3eeOGL+8+CWd2KW84z06O4s2AAL5MqcQ85RkR/NzFhtCsz99vvai8/dZwyvggzvukLTU08vPvAFYc8uNx/v0F/MqcaB7e/CWdm5oQAIdsuFZGrXLuWjeTs77fzfwzKJv3b/kzLPK1nDCKTAbdDuST5+kl1hB6fgPrSMBeUzcws+A8TQn157cf9WadglxB49acEVlKqxkRXGqIvNRIbl46h5MnT+anH41g3x5d2d7BjrpaGjTtNJh3k4t/NZMfnOGwLg2pY1iP286Unc624ih5dMUoAuAYj5NFcs2kRj3lk9BwZuWKn5G34fbWqQRA9zUX+eJFCOf2NSDU+jIgo+h6srALnDt/MpctmEwzTQmHbfQrvVLFS37W1ZCwHsyIbBkPrJ5AIy0tOvQex8epJJnJbXOHUFdLm22HL2Pc3/K45CUFcUhzKY0c3Rj0Mv//nhUdwNFONtTQNeeIaUv40y9b6RP0vFjyMaFqieBSQyhlTznjvYYENNnHbQLnjBvDDram1KxtySlrfuffOyYJ90+xezMjmjr24+pd5xmdVHYu83xynju2k8f+uFNYkivPLvalz80uXvbK84B9bKgLtnJfxMScgsLUWB78cSbbWpnSyLQhVxy9U8rWwv8j+NB86gAcvvgKFblJnNvLirptpzMqt+T1433WsbYEHFpWcMmO5IT2ddnCbQG9dy+hpY4xmzdvQDVpQ+5/kMF7BxfTqrYJ2zjWp4FVS3o/SHptYzm3TO9FaNlyz7XowlL/XfOoDvCTlacr5oMLb4UILjVIelw4w56F84HPAX7csy2dBn7Cs3eLZ3WUx93k4DbmrN31UwbF/4MdZD3liNYSNnCZygyVgtcP/sjOzRz42aJfma4kyRye95zL9o4tOXXtWSr+vn1mOD9ztqKWbU9ej8wPZtmJ9znPvSMBXTZu150Dh0/g3qsiE+XboFI+56+T+lAKTRrW0qeWaWt6PUwrdf2I86vKDS45MVfobFubfcd+zvdb2dFtwXZePfADrfTtufX0eY5qb8kek7bS9/D31K5lTo8zjwq3fXhuPY0BjvjhP0XqjAk4wNam2rRoP4Jep/yZITqy1ZIILjXMU7/f2MZEjQDYstt7HOrmzoUbfmN06qvL03R6fOpMfWsX3ojOYW5qDK9fu8pLPj4Mjn1ZduWy+xzRWJvtRyymr/cm1peqUVtHnZr1utM3iQz942fWN1SjnpaE5o6DGJz0+qCXkoeXulMCI649HlRYennzDEoAfrz0KDMr/GgIRby8zxVjnWhh3pA9uranlqklP9pwkvLS0lq/QXDJeHSKjra1aWRoQMv2w/lIrmTE6VW0k5qz34BOtLVuzRNhckZf3EQdTRMu2JffK1XE3+OgZga06TqZkcX+8Uo++GMPBzk1oZa+CftO+JGPE6s4NbNQjJgtVqPk4OrZC0Dzcfj5l62Y6D4ANoZyrJ4zDjPWHIISQPyNI9h6LAQzVi6H+u3t6O7UHs7duqNXjx7oNWAo9l4NK7X2rPgohKdI0cRWAz/9sBZ2wxdh83cTIc3MQ8rTu1ixeBUsXZdj47ejkBEfggdRf80yirmxF7OWH8F7s1Zj+uC/0oNp6+hDG0B64nMkJMje4rGp6ZQ46fkNFngF4Tvv67h05SpWfFAHB2aMwq4bSSVuoaGhDgBQUy/95bU5mRlQZKYgNV2C8bNno4mOGqBjAFVWPM6dDkCL4VPg2lAHEm19mCqScO/uAyiVefht1dc4GWOO1RsWw7ZY6ig1NOszGif8QrDpq+44v2Mh1h/xq6DjIFQU8UrjGkUboxd4YvgifehrFRSluuDSqdMICHoMAPA7fxaROk1gr/YY0z6biRi7AfhmeTfUzovAlrU/Y4XHXgzpvgQGJdSelZCAeIkKKUe3IVO/FbzXLYT6se+grZ6B817Lcf6RDtbtmA77uyuQmXkZz1NkAEyAtGdYNHMWZPbD8NOi8dB8rc6OH36JjaHP8Y3Hl+h6YT++Wvwjpn3kAp23fKRqHgWioiIA6IJKbeSpJNDX0QSQCYVEE2F+u7HytwcY+NUCDGpiiJzsHMgys0EACnkG5PIcaOtoQ+1vKUwlaoAslajjPApT3DoBAOrYO6JD67owUO+HZbNHQw2AmX1LdHQ0xH9+WYrpOf44t/U8hn69H8PbWRStMC8LZ373gm9oHDSUubjiHQDo2sDBtg6EaqbMfo0qj7Gx0YxP+/vN3BwG+d/gk6jkt9enEipURux9njhyjA/jZCRJeWYyg6+d5uyRztTQNeSCvflDG/sXuRMGlnRq04xWjq68EpNLeVosj66fR2MdKcetOlH8XkmBmCvbaKGnRkCLM7ddJkne3LOocLqo8/i1VJC8+/syasKAs7zyh0COLPmIUDfnxkthpbY/Jvgyx/W2J7QtuPnPxxV2XIRXVLzvvYmdbA2pBjVqaWlSzciILpPWM1FJHprXgQA48WgUs8KOsau1FtXxasqyhLUsP6RfWvHxM5U8nGu++4objwcX2VdSXDifJ8iLlAWc2MUpU6ZwaJ82tO82ikEJxc80VfozftLKigCorqnNFl0G0POIHxViqli1U2ZwyYj0ZT/nVnRbdvC1OeQqnv5lNs0MpJzmcUpM/3tH3PSaQ02AJvWas1u3buzQvgVNdNWoYeLIeVuOFz4/8Pz2ETpZaOT/aEgt2K2XCx3t61CiZswxC7axrKHtsHPrqQnQzGkCnxaMk0f7bmNjfdDArg8vPkolSb68fZBN9ED9ViO4a8cmtjQE+8zYxr9PSlIpcng/0I8XLl7ixVPH+JmrPSGRcs3pYApvR/wTfx7Y4snNmzdz/2V/ygrKn4f6cudvRxmUoqIyNYxHdm6m55at3LFzJ7f9uoW/7jzHuJwyq35jyVGP+CAyqeSFKiWf3A2kt7c3r98IZFpeyasJVa/M4JL6+Cwb1ZKw2bgNhc8bhJzcQCuA9v0m806Y6Lm8K1LCAjhv3BA2btiANnZ2bNHzfc5ZtZ2+JUwHu3/JiyNcO7F508a0q1+fXd2n8ODFO+U+pJYZ48NBLt24cOeNvwoVifQ5fZiXA6P+KlOm8pcFn7Jlpy5s06Qu6zTpT/+Y4rfrc2LusJ+VfsHVMWhevzFneRxicmlPfAqCUG2Umc+FqWH4uJsz/I2HIODqFpjJHmFop464qNYLly4dRAcz7UoZuhMqiCoPicmpoATQlhrBUKv0W26KXBlS0+SgugYMjWtDR1Lqqq/vAFkZGVDXMYR2eXfz8hSQZckQfP0PJBu3hatT4+K1ZaXg+B4v3I1JQh2reujezxWt65m/SUMEQahi5SQLy8aW6f0x/UgafG75Imvvp+i/5Bo2nb2OyT3qVV4rBUEQhHdKOVORddB7wGAYy6Kxcfl8zF9/Bv2mf48JIrAIgiAIZSg/zXH6fYzo+R4O3YmHoYMrzl04CCfLYhPPBUEQBKFQ+Q9RGjbD0D4dAWjhy3nzRGARBEEQyiWJSSu75yKRAElht3HyaigGjPkI5pqASmRwEgRBKKQCoK0OmOlXdUuqD4n343KGxQBoaAP6OkBWJqDIq4xmCYIgvDvyVICpHtDVtqpbUn1IcvLKDy6CIAhC2SQSQFO8rbFQ+Tf0BUEQBOEfEnFWEARBqHD/AxNEBJiY1TDpAAAAAElFTkSuQmCC)
What is the momentum of object A after collision?
What is the momentum of object A after collision?
Observe the image and answer the question below:
![](data:image/png;base64,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)
What is the momentum of object A after collision?
What is the momentum of object A after collision?
PhysicsGrade-10
Physics
Observe the image and answer the question below:
![](data:image/png;base64,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)
What is the momentum of object B before collision?
What is the momentum of object B before collision?
Observe the image and answer the question below:
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAZcAAACjCAYAAABG+lMCAAAgAElEQVR4nOzddXxV5R8H8M/tWg/WwTYYo5vRSHc3SCqpAiqi4I9QESQlRSSVVkK6Q8JRo2NjwAI21r3de3fj8/vjjpKhKIMF5/16XTbOPfE8d+ee73niPI+IJCEQCAQCQT4SF3QCBAKBQFD8CMFFIBAIBPlOCC4CgUAgyHdCcBEIBAJBvhOCi0AgEAjynRBcBAKBQJDvhOAiEAgEgnwnLegECIoGo8kMnU4HQ44eJrMJNBMisRgSsRhyuRxKpRISiaSgkykQPCUNgCH3dzOAf3qkTwbADsI9d/4QgosAAJAJIAZAsgnQZxqQGhOD2NBbSLgXipjICETfj0JifDzS01Kh02XDaDBCKpNBpVTC1tYWTk7O8PDwgLePD/z9/VGhfHm4u7tDLpcXdNYEbwnSCIMhHkZjJMzmu5BI4iGRiCCXiwFIYLncEYARgCn396cDjgiAO4DqAHwhBJlXIxKe0H97mQFEAwgxAncScnDt4iXcPvMn7p46goQ7t5D14N5/2q8IQKlS3vAvG4BmzZqhbr16qFmrFpRCoBHko9jYWNy8eRMRERG4d+8uIiNvIiHhDjIyEmAwEAqFDLa2KpQsqUGpUnbw9XWCj48DypUrCUdHG1iChzH39egyaISlBFMNQDMAigLJW3EgBJe3TJIBSDcBiWIg0gTcvPcQF/bvw8192xF15g8YsjIer2vvWQp2bt5w9CkNR28/2Di7Qm1nDZlSCYhEAAiDTg9tWgbSY+OQHHUXCeFhSImOQmrU3cf7sbbSoE69+ujUpSs6tWsLD0/PAsi5oDiIiIjAqVOncPDgAVy5chU3boTAZMp56e1VKikqVHBB9eoeaNPGH3Xq+MDFxQ6WWy1j7k9D7s9yAOrDUpoR/FtCcHkLxOYAt7KAZAOQKAKy5EBCZDwubFmPK7+tQULIVQCAWCyFe+UaKN2oGbyqBsKlXGXYuTlDplRBLAHEEkD0qFmFsBRRCNAMmE2AyQSY9DqkPYxHbMh13L9yDmEnDyPy0nnAaLkAlPX3x8BBgzBgwAC4uwtfWsHLCQ4OxqZNm7B9+zbcvfukRO3goISfnyPKlXOCp6cdSpSwgkYjg1QqgcFgRkaGDgkJmYiMTMXNm/EID09GRob+8faVK7uie/eK6NWrKvz9XWE5sR8FFz0AWwABAMoD8H6TWS7yhOBSzIVkA/uTgBQToLQCzDo9Lm/7DaeXzcPDm5cAALauHijfqjMqtesCzyp1oHFQQywFjAbAbLQEj0cv8PlmUZEIEIktL7EYEEsBicwScLJTdIi+dg439u/G1T1bkPogHABQsUIFjB4zBu+++y5UKtWb/VAERUZoaCgWLVqE9evXIzU1FQDg6xuAZs3qokEDK9SpI4eHhx3Uahks1VkSWO56HnnUxmJERkYOwsOTERQUhZMn7+HIkTuIjc0EALi722Dw4FoYPrwOPDycYAksptxtDQA0ABoDCHxDOS/6hOBSjKUZgXWxQAIBe1sg+soNHJgzDVd3bgIA2Ll5oWavgaje4124lPWHSAwYdYApN6C8KpHYUtqRKi1f9/g74bi8fSOC1q1C6n1LtVmnjh0xafJk1KhR49UPKCg29Ho9fvrpJ8yZMwdRUVEAgEaNmqFv3x5o2bIkfHy0AFIBaHO3eNQbLK/LmQiW9pVHP6UAchAaGo/ff7+OjRsv4cqVWABAxYrOmDChKfr2rZ677qMqN0Pu/5sBqPMaclz8CMGlmHqgB06kAJEElArg0rat2PftBCRGhEEiU6B694F4Z+RHcK9UEWYzkJMN0IRnb/ryCy3VaTIVIJECsSF3cXrVDwhauwxGbRY8PT0x9euvMWTQoNdwcEFRExYWhgkTJmDr1q0AgKpVa2Ps2E/QuXN72NpeBnAKlou+BC/Xo4uwlEKAJx1kxbCUdMR4+DAFmzdfxMKFpxAengIAGDGiDr76qhWcnOzxJIAZcrfpDaDUK+ezuBOCSzGjMwOXMoE/0wCdDJDTjKMLZ+Hw91/BqNfBJaAyWn/xDSq16wixGNBn508p5WWJRIBcY/n95sED2D9zCh5cPguZVIrxn3+OKVOmQCaTvbkECQqVY8eO4cMPP8TNmzehUNhg7NgPMHbsYLi4AMB1ALdgKaW87FMUhCUgWMFy55QGS6B5+i5KDkCKu3djMH36EaxadQEA0KiRD5Ys6YqKFT0B6HL3pQPgA6ArAOtXzG3xJgSXYiTTBOxOAkKyAJUaEBn12P3N/3By2RwAQOUOPdF+8gw4+/tClwWYc/B6Sir/gLSUYJTWQGJkDPZNm4wLv64EALz//vuYN28erK2FL+7bZseOHRg2fDji4+JQpkwA5s37CO3blwFwD0ACLO0fCvy7k9YMQA1Ljy8VgFBYAsRfH/gV5e7bhFWrzmDChH2Ij89C+fJOWLWqJwIDS+duZ4Kl1NQUQKP/ntm3gGTq1KlTCzoRgvxxKh04nw5o1ICEJuyc+gVO/TQXANBo+Kfo+t182Lg4Q5cBwJTbCC8qmBfMlvYd6xLWKNeiNQAJ7gX9gYsXLyIuLg4tW7YUSjBvkT179mDAgAFISkpCw4Y1sHbtCDRoIAMQAiAblmAgw7+/GxLBUp2VACD+qWV5MQIQoVo1X9Su5Yaz5yJx61YCjh27g3r1POHmVhJPuioTQEU8H6QEj0gmT5k69VEzmPAqmi+RCMg2A0eSgRwJoJADB2ZOw/ElMyCCCC0++RrtJk+DRCqHPrNACisvZNQDUrkEZRu/A6nCGnf+PIZLwcHQ6/Vo1rwZxCIxzCz4z1h45f8LIsu5ePLkSQwYMBCJiQlo0aIc1v7cF36lJSCTQchAiEGIXuFYotx9vMy6BERGlCrlhkYNPXHyVDhCQxNx9mwkWrT0g4ODHcw0g9CB8AZhV+CfY4H+DXOJ8rioiLbeFKrFijIRAKkYiMoGglIAuRVwd9c6nPpuCMxGA8r1/hKBH02DiIBBh8IVWR4hIFFYujBfWP4drq2aALFYjFGTF6D9kA+hzQbMb7BdSPD6iQCoNEDMvXuYPrIz7oZcg18lL4xb0B+lyzgiI0sHmgvuZBWLRbCxUeHs6XtY8Ok6xEUloXaj0hg3fyBUtioYctJBNsPbXjVmJqCRA638APFf/lyipGwhuBRlYlgK6dvigVg58DD4En4Z1AHapGhU7z4AXeYsA8RKGLJROAPLU6QKQCozY9fEMQj6eTHUNg74ddtONG1SH1r9P28vKDrEYsBs0GPgoCHYvXUDvL3tsH3HYFSo4o1MnfbZ2+ICIhKJYKVU4ciBq+jTez1SU3UYMbYx5szuhByjFqQtLA37rgWd1AIlFgF2yueXCw36xUCyEVifAmTosrD+vd64eWg33CrWwPsbdsHewxU5mSj0gQUAQECmBjKTU7FmYBfcCzqOdxo3xNbtO+Bgb1/QqRPkszWrV2LY0GGQyERYv74PunatBUu338J0SRIDUGLu3IMYN24PNGopdvw+CM1aVITlORs3AD1gGU1Z8DRh2M9iIMsMiBTA+U2bcPPQbshUarT9chYcvV2hy7AUXc3mIvAioM8CbJzt0Hbid1DZ2OP4Hycxb9mqgv6IBfksKioK30ybAYPJjKFDA9G1a3U86e5bmJgB5GDUqAbo0KEcsrKNmPr1YWRkZMDSC+0+gGsFm8RCSgguxYBcDiRHxOHU8vkAgNp9hqJ8y6aWXmFFkC4dKN0gEPXfGwMA+OnHJbh+J7yAUyXIT8uWLcO9e3fh7++IcePeyV1aWBvWjFCpVJg8uRkcHFQ4dSoCGzdegqXrsgSWAGP4+10UoOzs7AI5rhBcigEpgMu/b0Zi2HXYunuh/nsfAbCM7VUU0WwZgqZO/+Fw9CmLhMhw/Lx2XUEn65XEx8dj4sSJ+PrrrxEREVHQySlQd+7cwc8/rwUAjBpVD15ezrCM5VWY6VCzpi8GDKgOAFix4hxSUtIAKAE8ABBbkIl7oQsXLqBTp04YPnw4QkJC3uixheBSDKQmp+Pi1p8BANW79odbeT/kFMzNSr7J0QGOvi4I7Ps+AGDDhvW4HRP/D1sVXiEhIZgxYwamTJmCNm3aYNasWYiOji7oZBWIbdu2ITr6PsqXL4keParB8nxJYWeprnv//dpwcFAhODgahw6FwvLsjR6W6fYKnwcPHuDw4cP46aef0LJlS8ycORNJSUlv5NjCQ5TFwJEDB7Fy4TwobOzRfvJM2Lq6wKDLu+95kUHLyMoaB2dc37sdiVH3YF22KurVqIyi+GhliRIl4OTkhIiICISEhODw4cM4cOAAtFotSpUq9daMSJCRkYFJkybh/v37GDWqHjp0qIIng0MWdoSTkw1CQuJw6VIMxGIRunYtD7FYAsuQ/CUKOoHP8fX1RaVKlRAWFobbt2/j8OHDOHbsGFQqFfz9/SGVvr7JiIXgUgwsWbgA5y9cQLlmbdHg/Q9hMogLX7vof0AzYFXSAQ9v3EDMjUtIlKjg3LIL/FSiIhdg5HI56tSpgy5dusDJyQmRkZEICQnBwYMHsW/fPhiNRvj4+MDKyqqgk/panTp1CrNmzYFaLcZ337WFq6stikbJBbB8qRQQiUzYvPkqEhMz0aVLBTg6WgHwRGHskiyRSFChQgV07doV9vb2CA0NRUhICLZv346rV6/C2dkZPj4+r+XYQrVYEZeQkICzZ84AAMo0bAG5WgJzUfmu/gOTAZApgYCmzQEAMRdOITg8AdcLe/X833B3d8fnn3+OQ4cO4dtvv4Wvry9u3bqFsWPHomXLlli0aBFiYwtn/X1+OHv2LAwGPWrV8kDlys54MlpxUWFEYKA3ypUribi4LJw9ex+WoHMHhTkvTk5OmDhxIg4cOIARI0ZArVZj165daN++PT744IPX0h4jBJci7s6dOwgNCYFUrYF3rTpFthE/LyJYAoxzQCVYlXBB5sP7iAu9iggDYCziJTNvb29MnDgRhw4dwuTJk+Hl5YWrV69i9OjRaN++PZYuXfrG6sbfFIPBgKCgIABAw4a+kEpVKMwX5LyZ4OJii+rV3QAA587dh6WXWyaKQl4qVKiApUuXYvfu3Wjbti20Wi1++OEHtG7dGrNnz0ZiYmK+HUsILkXc3bt3kaXVwtHbD7au7sWm1AIAEFnGHnPw8oOzfwDMZjOSb19FvAl4WIRLL0/z9fXFV199hTNnzmDGjBkoXbo0goODMWrUKLRt2xYrVqxAcnJyQSczXyQlJeHOHcsUxVWquMJy+SlqdwkEIEHNmh4AgBs34kAaYRl+X16QCftXmjRpgj179mDbtm1o2LAhIiMjMX78eHTo0AG//fYbcnJevR3s9bXmCN6IO2FhAICSPmWgsnaAqTgFF1imWVbZKGHn7gkASI+JQrbZMiqBZwGn7UVMJhNMJhP0ej30ej1ycnKg0+me+T0nJwd6vR5ZWVnQarUwmUxwdnZGYGAgYmJikJ2djXPnzuHcuXNYs2YNZsyYgYYNGxZ01l7JgwcPEBMTCzs7Gfz8HFB4n2v5OwQgQpkyzhCLRbh5Mx5r116Co2MqjEYxLAGm8OdLJBJBIpHA0dER7733HrRaLS5cuIAzZ86gb9++6Ny5M7744otXmiFWCC5F3IPc7qw2Lh6QayRFvgtyXkQiwLqkpbE0MzEJRh2gzacWfZIwGAzIycl5/Mrr/zqdDllZWcjKykJmZiays7ORkZHx+P9arRZ6vR46nQ5arRbZ2dnQarWPg0d2dvYzy0ymF1ehiP7Sze/06dM4ePBgkQ8uMTExSE9Phb+/HZycrFEULsLPs5S0rK1VUKuliI3NwMCB23Pfm1dwyXpFEsmTqQOMRiO2bNmCa9eu4eDBg/Dy8vpP+xSCSxFmNpuRkZ4OAFBZ20IiwxudVfJNIQC1nQMAQJeZDoPOgEiFDLUBZGdmQq/Xw2AwPL74Z2dnP/f7owv7oyDwqNTw9HqZmZmP//+odPHXYPNficViSKVSSKVSaDQaKJVKWFlZQaPRQK1Ww9raGi4uLtDpdDhy5AhSUizT7UokEgwePBjDhw/Ph0+yYFmq98ywsVHC2lqNolclBlhaAs2wtVXAxkaJzEwDvL1tYW1tBbPZBkVjEL8nZDIZ1Go1oqOjcf/+fTw91GT16tVfqYu8EFyKMJIwGi31YFK5rGh+V//BoyxJFQrL/w05oNkIo0qGLbv2Ys7Xk5GQmASTyZSvwQCwBASVSgWlUglbW1uoVCqoVCqo1erHPx/9bmVlBbVa/czPR4HDysrqmW0VCgVkMhlkMhnkcvnjdS5evIhp06Y9DiyVK1fGpEmT0L1791fKR2Gh0+kAAHK5FFJpUZ5ki7CxkcPaWgkgA7NmtUCzZs1hMLSFZUiYwn+HJ5FIoFAoYDQasXXrVsyePftxYKlYsSI+/fRT9OrVCyqV6j8fQwguRdijelMAMBlNRe2m6aU8ypLJYAmiIrEUYrEUMikQGhqK8xeCAVgCgUKhgFKphLW1NZRK5ePAoFQqoVAooFAooFarn7noPwoCf/1do9E83kYul7/w9XR1wn+l1+uxYMECzJ49G9HR0VCr1Rg+fDjGjx8PF8vk8cWCOXdSniL9cG8eSpRQw9HRAYW3FTBvwcHBWLBgAbZu3Yrs7Gy4ublhyJAhGDVqFFxdX/2ZHSG4FGFisRhqjQYAoM/KsHRDFqFYlmC06akAALnGChK5FBlpwKDBg1GtrB/0OYZnAspfX2q1GnK5/Lm2jMIgKCgIU6dOxcGDBwEAgYGBj4eIKW7kcktvKpPJnBtoim7pxWAwQa83QiQS5QbLHFiGgVEUbMJeQnh4OH744QcsX74caWlpkMlk6N+/P8aOHYvq1avn23GE4FLEPbqzzYiPhSGbEEtExas7cq7MJMuDhVYODpCpRNDrAAdXO7Tv0LGAU/bfpKamYsGCBZg/fz5SU1NhbW2NsWPHYsyYMXB0dCzo5L0WNjY2AIDMTD2ys/VQq4tO190nCECMzEwj0tK0kMnEsLf/71VHb1JmZiZWr16NhQsX4s6dOwCAZs2aYcyYMWjXrh3E4vx9MkUILkWcn58fACAx8i50mWlQ2doVq+AiFgM52UakxVh6xdm6eUAkzn3A0oQieQbv378f06ZNw+nTpwEALVq0wJdffonGjRsXcMpeL2dnZygUGiQlZSE5ORMlStgUdJL+IzFSUrRIT9fD3l4NBwcVCnM7i9lsxq5duzBv3jycOHECAFCuXDmMGTMG/fr1e21DDhXBr6bgaaVLl4ZcIkHivdvISIiFxtGu8I9e/rIISBRA8t0oxN+5DQBwKlO+yI5CEB8fj5kzZ2Lp0qXQarVwdXXFxx9/jJEjRxb7McUAwNPTE87OJREdHYmoqDT4+3sUdJL+A0tvsQcPkmAyEd7edrC1VeDR8y+FTWRkJCZNmoQNGzbAZDKhZMmSGDZsGEaNGgU3N7fXemzhCf0irrSfH3x8faBLS0b01SuQSCwNpsXhBREglQMJd24i9UEENI5OcC1XDTQ9tU4Rsm3bVsybNw9arRY9e3TH3j278dlnn70VgQUAXJyd4eXlDpOJuHUrHoXxYvzPLKMKXLxoKUmXCygJG2sNLCMiF77hVM8EBWHt2rWg2YxBAwdg3769mDZt2msPLIAQXIo8Ty8P1KkTCAAIO3kIZpOlKqk4kEgsE56FnTwB0gyvarVh7+4GGovmZalunToYMWwolv/0I9auW4eq1fKv8bQoUGs0qF2rFgDgz6AIWIrYRe1kFSMrKxvBwQ8AADVrukIkVgMojcJ4VjZp0hgLF8zFjt+3YuWqVahRo+YbO7b0wN03dizBa2BlI4Z9xeYA1iPk2GFcOBkOKw8fGLQFnbJXJ1UC+uQEXD+0FwBgXa4lwpOkyM4ArKXA0UzASlJ0BrGUO1ZDj4k/QakETscB+TB8U9FBwNoOUPrVAQAcPX4PW86mooSHI/S6wtte8VcaaymunQnH5SsPIZHLYPJww8nYEsjOKnzD7YOAXO6KwH6fgASO3wcM+dweazYDajnQ0PP5m1ppGYf8PZjgzRJLgAFdWmHH0lIIj4jAwzN70PCDD6FLA1hELrp5EgEqG+Dcwf1IvncT1iVdUaN9GzhYAwoR4K4EyjsCUnHRyadIZCmNmcwAi2JHqVckkQAdm9TBRh8/hIffRejZOwis6AxDTuGdf/5ZIsgUwKbTYcjMyEGduh5oV98LClVNmBWFd7I3Ue7jCXwN/ScIQCbOu4pa6muf/wcUvFmlbFzRp08fTJ8xA2F7V6Pp4D5wcHeEoQiPMyaVA7qsbITtXg6AqNC6M8rWLI0cPaCQAU0dgTKagk6l4N/yLu+NVq1a4Mcf7+L8oSuYMLI6xBopisaEYRJkpKbi1N4rAIBuXQNQ1tUXlioxwV8VtQpPwQv0HzAAbm5ueHDtIoLWrwEkgImA0VQ0XyIFcGHLJtw9cxIqW3vU7jcEJhGgzwFqaIBKRePRAkEeevfuDaVShb0H7mD/oTAUnaHq5dj46zVcuR4PNzdrdOwYAKAUisKDkwVBCC7FREBAAIYOHQoAOPXTPNy/dAsKDYre0/oElNZAXGgkji/5DgBQvVt/eNSoCV0W0MwOaO0IyIUzt8iqW7cu2rZtA4PBjCVLTkOny0bhf1pfjvj4JCxe/CcAoGfPivD39wPgXrDJKsSEr2gxMmLECFStWgXpcTHY/93/oM/SQapC0QkwBKQKwJhjxqHZXyEpIgyO3qXRcMQYmAhUUQF1bISTtqiTy+UYPXo0VCoNDhy4jU2bLqJw3/2LAEiwePFpXLsWC3d3GwwbVhuAA4DiM/ZbfhO+p8WIi4sLvv76G6jVatzYvw3HFs2FVA5IZMj3AGOGpZeWOR/3K5YCcjVwavkPCN6yBmKpFC3GfQVbP194EWhmX/SebRHkrXHjxhgyZBBMJuLrrw8jLOwBAGVBJ+sFVDh+PORxqWXMmAYoV84FgAcAoX72RYTgUsx06NAB48aNAwAcmf8Nzvy8Dgory4U7P6lEgLMccJDlw8AXBEQSQGkLBP/2O/bNmACSqPnuKJTv3geKHKCBDaAUztZiZfz48ShXrhzCw1Pw2We7odVmw9L+UpiK2krExCTi8893IyVFiyZN/DBiRCAspZn/NonW20IyderUqQWdCEH+CgwMRHh4OK5euYx7Qcdh61oa3jXKw2wE+Gjk5FdAAjZSwEkBmABkGC37/E+7pSXwqWyAyzv3Yttnw6BNS4Zfsw7oPXMhStup0FQD+Ag3iMWOra0tvLy8sGvXbly7Fg2tNgfNmwdALJagcIzVJUdGhhajRm3BoUN34OpqgzVreqJUKRtYeogFovC3FRUcIbgUQzKZDI0bN8a1a9cQcuM6Qo7thcbeA6VqVYFIBJiMr1a9JBIBWhMQlwNkmADJfwwsJCBTAAoNcOHXrdjy6TBkJsXBs1ZDzPxpJXqXdUZlOVCyqHQmEvxrZcuWhUwmxaFDhxAUFAWplGjc2B+Wi3buXUuBkEOvN2DMmO1Yt+4SVCopfvyxE5o394OlxNIGgNAX/u8IwaWYUqvVaNq0KUJDQxFy4wZuHd0HkxHwrlkTSisZTAa80lh7IhEgFv3HelXLqOVQWgE0m3FsySLsmDQGuvQU+NWqj8VrVqNLeR+oAEiFNpZiLzAwEFlZWQgKCsLx4/dgMhlRv74vJBI5LGXjN02J1NRsjB27HStXnodEAsyZ0wJDhjQE4A+gFQC7AkhX0SIEl2LM2toarVq1QnR0NK5evoS7p48hPiwMLgGV4eBdAgDe/PD8uT3ClNZAfFg4dk4ej+OLp8NkyEHbjp2wctUqNChT6g0nSlCQxGIxmjRpgrS0NJw9ew4nToTj4cMU1KnjBY3GBpYA87rbYQjLIPEqhIXFYOTI37Bp01WIxcDMmf3x8ccTYKkGqwFA/ZrTUjwIwaWYU6vVaN26NRQKBc6fO4cHN67g5uF9gEkG57JloXFQgGbLAJGve9RwicwSVHK0OpzfuB5bx3+AOycPQiaVYMyYsVi0cAG8nEu+vgQICi2JRILmzZvDbDYjKOgMgoMf4PTpcPj52aFUKWdYqsleVzuMCIASJLB16yUMH74Fp09HwdZWhe+//xKjR08D4APAFkIfqJcnIovKyEyCV7V1+++YOnUKrl+9CgAo3aA56g8eiYBmbaC2V8GoBwx6gPnwHWZuoBKJLHOyyJWAPk2P2ycO49SqHxF6dDcAIKBsWUyaPBl9+vQplNMQC968lStXYtKkyXj4MAbW1jKMGlUPI0fWh7e3EyylmEd1uq9KDEvvNBGuXbuPBQtO4OefL8BoJMqVC8DMmVPQoUPvfDjO20kILm+Z8IgILF60CKtWrkRqWhoAwK9BC1Tv2gf+jZvBwdsLIrGlV5nJYCnRkLAMfIenfuYSPf7Hspy5gzPK5JafUgLahzG49scfCN66HjePHwDMRlhp1Bg4aDA+/vjjx7NpCgSPnDt3DlOmTMH+/fsBAP7+JTBoUC107VoZZcs6wRIYTHhSZfZ3l7FHRXJR7naSx9tfuhSNTZsuYd26C4iJyQQA9OvXB5MnT4G/f9nXlb23ghBc3lJ//vknli1bhm1btyIzKwsA4FDKH2XqN4V/4+Zwq1ANNq7uUNspIBLnTin8VGAhnwSWRwUOOzmgFgOZKQbIkmIQc/MyTh05jFsnjyA89BYAQKVQoGPnzhg5cmSxn9ZX8Gqys7OwevVKLFo0E6GhMQAALy87tG7tj3btyqNmTTe4udnhybMxj89OWM7Opy9tYgAimEw63L+fgjNn7mPXrhs4ePA2EhMt81PUqlUbn3wyBt2794RUKkzS+6qE4PKWO3X6NH779Vfs2b0bd+/de7xc5egEj8o14OoXgFKlS8PDuxScnZxg52AFlVphiSgEdDo9UpIzkRKfAMPDCKRE3sG9sNu4eTEYUTExj/fn5emB1m3aonfv3mjSpElBZFVQREVFncf69TOxYcMRXL+e+ni5r68dAgO9Ua6cM5EwhvoAACAASURBVAICSsDDwxa2thqoVHKIRGKYzUZotUBKigoREYkICQnDzZv3cfZsBGJish7vp3btQAwaNBA9e/aEo6NjQWSxWBKCiwCAZa7tQ4cO4cSJE/jz9ClERUbCYHrS+CIXARorKyhVKshkckv7CAmDwQCdTovszAw8PeeTSCSCp6cn6tWrh8aNG6Nly5bw9fUtgJwJiodMxMWdwv7953DgwGUcP34GDx8+fGYNlUoEjUYOhUIKkUgEs9kMvZ7IzBRBr396/gkJfH1LoWnTJmjTpg2aNGkCe3th7pH8JgQXwXPCw8MRFhaGixcv4saNG4iOjsbDmBgkJScjIyMDOp3u8boKhQLWVlZwcHSEi6srPNzdUb58edSoUQNlypSBr6+v0FAvyFekAbdv38GNG7cQFBSE0NBQ3L8fjbi4eKSkpOaen0YAUqjVajg42MLFxRmenp4oX74C6tatgwoVKqBUKaHL++skBBfBP9JqtUhJSUFqaiqysrKg1+thMpkgFouhUCig0Whga2sLe3t7aDTCU8uCN8tsNiM5ORlJSUlIT09/fH5KJBKoVCrY2NigRIkSQunkDROCi0AgEAjynfBEkEAgEAjynRBcBAKBQJDvpCciCzoJglciApQqAEZAl/OCVURPHoAUCASC/GImoJIBtdwsA9k+TeoojMFWpIkkJmTE34dRXhKOVprnxgYTSwCl3PKkvT5HiC+CwkkqA0RmwFAQgyAL/jMSkEvyHpJQaNAv4hh9Cj17jILHgPn4fkTT5943xd3Gsl+2w7l2O3RrXLEAUigQ/DNqM2CQKiGXyQo6KYJ8IrS5FHJJD85i7S/LsPSHpdix7wgSdc+OKnkx6DC2BF1Dak7eo00e37EIH4z/AnPXHsELas1eCnUpOLZzG66EJ/3LLU24fHQndp68AsMrHF9QfBnjr+CDPh3w5S9n8nzfkJaAnZs34Y+rQh1+USIMoFNoaXFw1Tf44pvvcSniyUOL1dv0x+w5s9G0vDMAI64EnQVETmhUq1Kee/GqUR+9u0ehTaemeJUJHcPPbsa7fUai8/fHsWTYy48JFntxC/p07ousuuMQvLcKSgqzwr51dOl3EXThNnQ6wNHFHZWrV4byqffDzh/Aqh1/oGvd9Dy3v7B9HjoN/g71h87D4Z8+fmbbf8WkxfULl6DxqQwfJ6uX2oQGHR7eDUdU4n2kZJoAqFG6ciDKuP3nVLw9KCiEcrh1+vu0AWhXuh5nLF7FdevW8NN321ED0K1mf95KM5JM4cctAigt3YVhOpLM5PVLFxkRr3uyJ10Kk9Kyn929OYuh187x8s0IGp47tpY3rlxiWEzGM0t3T+9HiciD6y4mvXw2jImc2KUCAdAqoC3PPND98zaCYsTEaweWsG1Dr0ejSlKqtmO798bx8oPU3HXM3Pi/jgTsuPBIVJ57ufnHj2xUP5Bz1wbR/AqpiT63gf4OSn607I9/WNPMhHvBXDp9LHu2b8FyziUpfTIyJsvU6ctDN2JfISVvByG4FEKhRxbRA6BTlS48cifxyRvGDM7pU4+Ahr+cSyH1t9imoh3rfvgj0xJCOeHdxlSpNAzsMpXROSRNcfx6ZCvWbDmKt1IsuzAnRfKboV1orRTTxrkiv991+ckXVh/LeaO70UqlYtkmI3gjLp2n9q3g2DGj2KC8G6EqxQ8mfM4xHw7h5/M2MzHn7/MRvPZL2qpt2bZnVzo6uHHyhrOv4dMSFFZ/rP4f3eQgbEtz1IRvOG/ut+zbshYBsEKrj3k300wygxPalqfIswWvplm2i4uO4dP3Q2ZzBuPi4mkyPbv/5Lj7jE1Mz/PYCbExTMkyPrPs6IL3KIITfzod9w8pz+S6ib2oEVmCSdlGXfnZxBmcM28uJwxrRgBsOnY19f/u43jrCMGlsMkO53sNnQibAP52/vm7o70zexNQcPnpBJoidrOmqwMHjp7Czs3Ks0zVxuzUrDalSif+fCGFTD3LQHdQWqY7b2eS1MXzm0H1CDiyQ59+rOSsZOVu31JLkuYM/jSmAxVSWzZ6px4lsOY3v/3JX7/u+sxdm1TpwsB3OvCLxduYanwueY/pEy+ybRlr+rf/nLGJt9mtopo+7T9j0t9sIyg+Hl7ayApWoMY1kJvP33683JweyykdaxCw5c8X0khDGDtVtGGVQbOYrY3j0gl96ePmwTbvLWSikaQ5lT9MGsjOg79iREbubZAulSu+GsXy3o70qdiIv5wIe3Jgcyp/nTmaZUp5sH7PibyXquW1s3v4/fzv2DHQl1D6cfKCRfx+3rf8YdMRpj9fdCdpZvLdk+xQzZqasq15/uGTEnfw6o8JgMPmH6BwKv89IbgUMiH759JOBHYcvz6PdzM4uWslSp2a8UqqiQ+O/Eg/uZxyuYp1+n7C6JQc3tr5LW1lKi46Hk/eP8xqTmD1IbNJkieWj6VCacOJay8wI+Ic25Tx5Xuz99JE8sbO2bQF2PmbTdRmPeRXH4znhj+jqEt5yOPrvqO3Us6mg6bxwvVwpmv/KRcm/vxFJ0LmwhVn40gauWBgY0JWlluv/otqNUHRlBPDT9v5EiJ3LjkU+tzbB+b0IyDnwmMJ5IMDrO5sxwEfz+JH7zaks5sfa1cuTZnak+uvZJDpF1jXAxR5teW1VDNp1nLZ5z0JgNUaNaanlYSVen+XW4owcufM4VSKZCxd1oeAhtO3XuDGKe0f3xwBoFyhppNXGfabvILJL4oQKVfZqbyU1XtPsfzfrOWJjbNZ0dud3UbPY0x2nlFJ8BQhuBQqRm6Y0IEiqT3XBD1farl7ZAld5GDTT1eRJI/+9BmlAL2aDWNYMkmaOaN/TYpKNGBwCplxaQP9VWDHiRtJQxI/qO9BK+9mnL1oNptVKs02vWdZShL6h/ywqSedKvdkaPrztdo3dnxNlVUJztx756VyEXN+AwOsQbFrGQ4ePYg9u3VkNfcSBMDuk9e/Ur25oPCLOPkT3STgO+8v5vP3IXrOGlSLsA3kn4kmxp5YydJyNR1sbFihdU+evZPEkJ0zaStScM7hODL6GKuXBKv0+4Ymkpc3f0UbsZSDvtvKjKTL7FKxFDt+uYlmkpHHV9JDBtb/YBHjHoZwVI+BXHrwNjOjrnPzvM/ppVKwVsfR3PT7H4yIzX4uZU9LurKDVZUyth45n2eP/M6R7RrSGiBK1eTOkPjX88EVM0JwKVR0nD+wASXSMtx359nG76Sbh9jCV0pNmdY8E5VN0sQfP2lGhWtl7gyxVFaHHFpMVzHYctwamknGnPyR3mIZRy35kzkJV9nc156qkl4sV7MRP5u3hVqSWSlJjDr/GytaqTho7t4nBzTrGBefTDMNXDq8Dm1ca/JUlCVNWSnJzM75SwX4I5mRHNHCn5Aq6O1XlrWa9+SY8d9ywZJ5bFHViXKvQP4RLjTsF19m/ja1GwErLj324Ll3Ey5tZoAGrDZoLk0kT62ZRCVA26rtGJTb4WPpqEaETTWeiDUx++pmllGAbT5dQxrT+UkTX6rdm3P15o18t0F51mo5lnfTjKQpkRM7laWNXwteiLcUR/Q6Ax+dpeFH5tPWxoFTt4e8VC5u7VtMW7ED+0+Zyy+71aRvpcacNnsm+zWvQhffelx76rZwk/QPhOBSqJi4e+5gAmCvyasZl55DbWIM96+Zy0BfO0qdKnLNiXu562bwm14B9KzRk/dSs3lh32JWcpfStlJnBufeld3cOZslYMeJG25QF3uWVUpI6N58CK/GZ9OYFs41345ii04DuennBXSX23Hk4kPMMekZFnyII9s2Yq9PltPETE56pwzt3Fvx0v1Unlw3nS1bDeL5uDyaM03Z3DClKwGw/7QVjIhOeqYK7fSK8ZQArNVvOiP/rsFGUITl8PuB9QlJAPfee/ZvrH14if1qOVPkUIO7biaSNHHlF20osyvFFacsJfXYC7/S1wasOXgec0jGnf6RHpDw/fknqE8OYasyDhRJrehauiL7jZ7L+7nt+QnXdrGanZo9v9r6zDH1uhySBq76uAWtnSrxUFim5Q1DDg2mF4eHoA0TKbYqyclbzzMjMZpxqZYTOe38amoA1np/UR6lMsHThOBSyKTfP88eddwIgK7epenj4kQxQI8qzbnh1N2n1jTywOKPqJZI6erhRSVAa/8m/PVC+OM1glb9j3KxK2fsvkOzIY5jWpUlIKNf2XL0dranUlqSExf/zqSI02ziJCPktvT186GjjZruFZpxZ/ADkiauHG3pIePs4kobjT3f/Wo9M/OIDea0G+xR0YFlmg5lWMbz71P3gF90q05Ayk+WH83vj05QKJj521c9CUg5auEuZupNNGRn8srBTewR6EmIPDhzy4XcdTP4Te+KdK/WgxE6M6OCt7J5OWuK3erxaJilq3Lonrl0gDU/++UKdQlBrFxSRpcm/Xj8ZgT1+gweXfc9e787hpt/mU9365IcveIETWYjU6Kuc8bIdzno89U0MJtT21SmvUc7Xk3QMvTwag5690NeiHtR1ZieK8Y0p8LWm1uvpTyVtSxunNyHgIwfLz/GF5TdBbmE4FIIxd45wbF92rBatSqs1aQlx81dzXtxac+tl5MSxZnjBrJmtersP+IrnglNfOb93fOGERJ3ztlnaVSNDj3MMe82Y5Wq1fhOlw+4Zd+t3DUNPPvrIrZtUJs1atXjR18u4s2YJ8dLCDnK9zs0ZY16TfjVij0vvmMzZfN6UBCvRia/MG9ZD29y5dLFPHb13gvXERRtibcP8x1/DSGyYp0mbdmyYR3aA7TzrMC5v5556qKs55ZvB1IttWW9Js3o4yihtEQZLjx09fEaZ1dPokzixGm7w0h9NAcGuhFyZ7bq1I2t6pejRGTNAZ+vYtSNg6xpL6atW3m2bteaVfxK0NqzKlccuEXSxB+GvUNAydoNGtPL0YqtP5zP+Bf1JTbGc3RDb0JdkTvPRTD4zGke3r+F43o3pBhg414zGZshVIr9EyG4FFZGPVNTU5mh/4eHSWhiWtqjQGBkdFQ0tbnn/eKRdQmHAG698lQPLZOWKWlpzKvVQ5+ZzvSMvO/mjLospmUJPfsFL+fOhV/ZvXElOjrY07F0Ofb5eBrP3Hy+DUYbF8KxvZuzhKMDm3UYyh1/3n3m/X0LRhJSF87ca7lBCjuzkd2b+tPRwZ4+dTpz4aoT1JtIUs8DiyewsrszHRxc2WPI5zx+/cnxHgRvZbuafizp7MehXy1nwt99rcxaLvigF1t1G8n5k0ZSA1AsAe1K+HDUtOWMzRICy8sQBq4sRqiLwAfd+uGWfQt80rMUvh46DAkB7+P0gR/gLoxWIXjDDFlpSMrQQqJSo4StTZ4j5wIAjVrEJ6bDztEZChmQmZEJK2vL8Cw/fdIUw1fcw/pj59C3hpNlv9kpSMrIgdLGEXaqZ0ewSk+Mh5YSOJd0fO442rQkpBulcHa0/ce067OzAZkIYee2Y/XmP+HoFYBWXXqghp/zv/sQ3mJCcClWjLi8bzUGD5uIu6la0KUaZi5eiVGt/As6YQLBy9FHYGyfkUgu2xWfdPXChN7dcMG6E86eXgdfzYvCk6AwEoJLMfTwzgUEXYmCe6W6CPR3LejkCAT/Qg6OrZmF98bOQDKIdIkbJi/Zgqm9qxZ0wgT/khBcBAJBoXPrzD6cuBwFlyqN0LZuOQizvBQ9QnARCAQCQb4TJgsTCAQCQb4TgotAIBAI8p0QXAQCgUCQ76R/3i/oJAgEAkHRZjQDdkqgsvAYzGNS9atMrC4QCAQCmM2ASujS9gyht5hAIBAI8p3Q5iIQCASCfCcEF4FAIBDkOyG4CASCf8WUo0NCfCJ0xpfdIguHdvyMbUcuw/zUUoM+ByahUr7YEoKLQCAAoMW1QzuwduPvCIvPynsVZuPE7rXo2aE16tWrj/Y9hmHbqev4p/igexCM8SOGYOLyncjMXZZ+5wj6deyKhRuC8zMTgkLkb4MLdVm4efkyolJy8l5Bl447N0KQmWN6HWkTFElGRIRdR+TDlIJOiOClEFFX9uOzrm3QsGVnDOjbBU27vI9zD7KfWcuYFokZ7/dF844DcPRqFOzs1Lh2cCW6tW6Pqb8cw99dAWLDbiA+3owq5cvAGgCMDzHjow/x28EDSDQaXpAsA8IvncOpoCtI0QnXlyLp7yZ7iT2zkQE21qzbfy7T/jqnZ04CF47uSA9HJ87dcymfp5kRvF4GRoWH8urVK7x2/SZDb9/i2h/mcPT46bz2MOvxWlG3g/nNhHHs168/v120mVGp/zRxGZkZeYQNyjmwwxdr+GgmZG3sJc7433QeCX74mvIj+K9SQ/fzHT8rQuPIXh9O4tJFs1jdtSQrNu/CwyHxlpWy4vhln1oEwDYjZjIkxjJxfXjQb6zlLKXCryWD4158bgSt+pRqqDlrdziZ/YBT36tHwJ7Dpv/GdMPz698PPcKP+7SkuxQErNh+9GzGChPWFzl/G1wub55KW4Cwr8o9oU9Pim7mlukDCICAlF/+cvq5bVOTEpiue37GtoQrJ7j026mcMX8N7yXnnjEmPa/s3cjp/5vM5duOMzuP+dkF+cScxVUTh9DP15/Vq1dj5Qr+dLbX5P4t7bk2OJY0ZnLLrHEsVVJDiVRJpVxKQMKyTXpw/7W4v919yK6ZLAGw73dbcpdkcM579QmI+L+fz79wO21iHGMT0/Mxo4KXkXJrH+s6gRV7f5o7fXUie1RzJKwrccvFGJLk0UUfEADbT1jBv07C+NuUnoTSmyv/jH7hMfbMHkyJxocLdxzn1B51qXF043drjjCvr/mtQytYw1tEWPly6JgPWdNbQ7uqvXg7I4+VBYXa3waXPfM/op0IlELFsUuPPl5+bcd3LFXCiTVr16CTU3muOXn/yUamZO5Y/AWrVwxgq0FzGPPopDCmcd+SSazsYm25kCkrcN2ldBqTbnPWsI50EoEA6NhoFO9lvo6sCsgc7p4/ii5OFThr8x+8dfMGz5/ex5lfDGXvvn351dKd1JqyuGJid8oABjTpz53Hz/Hm9ctcN30krQEGtB/P2LzmSM51cP5IqlCSS47eJ5nFdd/2pwJg06FzeD+P21RdWhjXzviUDcuXZkC1hvxu01EKN6lv1t3g7ezTsRm7DXiP77avxfJNenHn2XCSpCHxGrsEaOhUbSDvPveHMXLFmJaEjT9/vZL4gr2buWFKT0KmopO7Cx29Avnrxcg814y9vIOBJWW0LtOcu4IfkIZI9gz0Zvsv1vGvFSeCwu/FwcWcxqnvVqNPYHN2qR9Av5YfMY2kLvwYa3op2G7M91w/fTht3RvyYFjuvOvmDP74ZQ8CoKuPD63kcnYf/SMNNPPM+gm0l4ABTYbx5+37eeLcDaalJXL2e3UplirZ5cN53HPwCM9fi2KOMEX1a/Hg9Fp6AnStN5i7Tp/l7dvPf8kvbZxMNcCa/acwIv3pr3Q6J3WuRDhU5v6wF0V/M9dN7E6RQy3uvhrJNV/0pEwl56CJy5lXjVpCyH72aOpJSFQMqFKRKhHo0XQYH+jzJbuCl/Tw8n62Kl+aFRu0YfPatdj3s2XMyP0ORhxeRCeAQ78/9OxG5iwe/GEkHQBW6fw/xuZRvWWh49xhgRRJVbSyVlJi78PPlv/KmKy/lFtyYjmxcwChqsItl5NIkttmDaJarOH3B+/ka34Fb8YLg4sh4SLb+0jZbOhc/rZkLBWKUlx+5AQndKhIpxoDeC9Dy+/fq0NFhfa8mGC5CB1b/hmVAJuPWcCYtHAOqath2TafUE8T53avRMCDW64+qfowPjjD2ragTfX3GPP68/rWi7tyiEOaNmJAWX96e3nQx9ODzbsM4MY/LXepzLjNXhXUtPfvwksJz1daLB/ZhLApx123XlR9lcPFY9sSdu6s36gu3T2qcu7256tMSTIt8jQ7lXMk7Mpzzm9BNKWGsm0lF7Yd9wv/uWVHkF8Sru1jIy8HNh0+n+kkmX6Dnat7s92nK5hDMmjVREoh4tCFBx9vE33vDKcPaUUrgN51OzAoIvnFBzAmcGxLDzpW6sNjwaf5ec86FAH0r9+DW45de1w1Fn36F3oq5Bz8/X6S5L6fPmNJWxDyAG4O/vuqWEHh9MLgcv/kctpL5Hx/0XEm3znGGnagTKGirUdtbr+YSDKRw5qUpFeTwYw2k9qo02zgIaNX0xGMMZFM+JP1XG3Y8dOfSZIXfp1GT7WG3jW68MdtfzDTQNKQyIUjWlOtsGLzAeN56GLUm8n1W8yUncnYhw8ZHRPNwzuWsrariOqy7Xkjg4w5Oo+2EHHYwiPPbXdjzywGqMHSzT5+ccnCnM4p/Srltt+A9pW6cE9IHhcGUxKn961CwIOLDoSSJE+v+pj2KicuOvYgH3Mr+Cenln1KAKzffxS/nfYNPxjWk9YA7ZuMZQbJmBMr6SkFVf6B/OTzKRw3uhf93EUExKzf+xNeeJD29wfIvMWepW3o1/l/lqqtnGRumz+eZe3EBOzZoftwLlr3Ow9tmEkF5GzW90MO79WSZcrXZ+fW77BkqRY8ItSTF0kvDC775/UjpBrOO3ybpJZLP+1Az/JVuHD/NcsKKbfYp6qcVTqPp47kkfkDKFe68OegBJLZnP1+PQIyfvDjH7l7NPPK/l/YrXlNSlXO7PHpYsbmkMxK5Nb5E1innBvtvSpx5ubTeTb0CV4DQzI/aeFH2Ffl2TTyj4UjCag5bWfIk3X0idw592P6akAb30r8/e96fOnvc3hDG7rV7MZFS2cxsJQ1RSW8OPyrlYxKeVLFdv/kKnooxOw9fQdJ8sbRpfRzklJkV517X1jlJngdkm6d4MiuDekos9wQSGxKskWX/lx98qZlBX0if/ikF62llvft7J3ZtG03zl2/nykvUX2pizzMyiqw6ntz+XRTXfTF/fygY3UCYNPBsxgZeZbdqpYgAJZv0497L0Vx3fhuVFXpwRspryXrgtcs7+BiSuLEDuUoKRHIY3csLfI52Qm8F/PkLlR7/082cwUrdBhPnSmL0zpUpnPld3k3I40rpg2kUqagRm7PMT+dembXhqRQDm7uTog9uTXkSbfX8FNrWdYWLNnwPcYIde757vbRFWzdoCE/mr2CB44f4ZaVM9mpnj8BKTt8ZqkCObP8M0oAVu/+EXfvP8qt675jp+ZlCIBOVdtz64Wwvz2GKfk82zspWHfgfJJk0uX9/KhtZYoAlqrekXOWbOSlsHvcu+hjQmTPj75fz3WzxrBSmQCWK+vLkmU6MChO+OO/aUZdCm+c/5PHjx9n8I1QZj/32EEGL+e+f+NmGLX/4u5PH3Oeowb247JjV55/MyeB586eZGScpadAVnwoT509z3gjScZyUO2S9Gozhn/Ty1lQiOUdXFKvs5W/mqpKvfmiG0l9zFm2dQXdW49gmiGZX7auQGg82bBxFWps/Tl1yWr2qu7Aap2+4MXg8/x8cC926dKdbZvUo4O1mHV7TeSWDb9wQM/u7N6lKxvV8Cekjhw28zdmv8YMv63unfqFdX1LPK6yAkCNS1mOnPQzYzItVxPtw/N8t5b3M+s4eQZwwOfzeCP6H6o/SGaE7GAZgO+MWfWk9GlI4q7vx7GCi5wA2OKDBTx/ZA1Layz7ty1Tkws3n+b37zdhifqDeV/oKvbWOb15Jt8fN4NX7iU9Xnb1txm0Afju11so9O8pmqR5PlmpdsOwCTPRRVMW7pq8H76UO1fAlwuW4a5tJVhL7dBlyEDsvD4Xt1KtMX3NSozuXAM/xx3A+e0XcO6SD4KOHkFwohbOvuUxdNJKjBnaH9d/+R927NkLk1iKig1aYcm64ejfrRlU+fF0qOAZPvX7Y9fxytix7xCi47SwdSiJui07oFYZ98frKF1qYv6mLaiz8yhSs40o5VMetRs1RBl3x5c6hkFnhKZSZTR/pyIkjxZKHdB+7GxUad0KW/cHo17rQagZYI3V67Jx4gHQtNu7qOOaiQEzLsPGuxZshPmF3jrW1tY4tWYM1v64GB17d4OPtRG7li+DqWwrDOvXAqKCTqDgP8nH+VxMeBgVAZONMzzsrAAAORkpiEvVoqRzCaTGxyBDa4B9SReUsLO2vJ+ZjujYWFAsg7OnNzQyYaizosyck4WHielwcHGGSpz33zL40K+4bfZBn1a1Hi8LP/Q9Krf8BJ2+/h1rJ3USLiZvoajLOzFz2hJs2HkYqQYzytZpj2+XLEC36r4FnTTBfyRMFiZ4g8zYPnckBk5Zi6oNu6PngK7wRAqWTfoU+7JKY9/RA2hdzr6gEykoKNTj9vVbSMoyo1TZ8nC1VxZ0igSvQAgugjdLn4Sty77C1DnrcP2+ZXBLtVtFfLV8Nca1rVnAiRMIBPlFCC6CAhF/7xr2HjiBZJ0YtZq3Q8NKXgWdJIFAkI+E4CIQCASC/7d3n3FRXGsYwJ+lt0UQBOk2LCj2hqKo0agRKxhj1KgxlkSNscUSEzWaqNhijGLsRI392rBFo1hAwHYFrKB0EekssMCy+9wPIJHQTC4C/jj/D3w4M3Pm7DC775wzZ+atcBr+MVXdBKFGkqDwxj0L/wjCu0lJoJYO0KJOVbek+tCQiKk5QhWTFP4RhHeT5NWTYUIhMSwmCIIgVDjxYIkgCIJQ4URwEQThHZGJG5cu4vbT1KpuiPAGRHARBKGIPFkk/O/cRHJe9Rox9/Najv79XfHbtbCqborwBkRwEaqthOdxSMlSVXUzahT5i1v4etwwDJ24EtE5xYNL3LP/4scFszF0iDvmfu+Jh/HpldKu1CfnMWvuSsjtB2B83+aVsk/h/1Q178sUqg8F0zLSqKhmr5594P0zHRu35KrTT6u6KTVG7O2TdG1rSQDsOH41s14/J5SZPPXzN2xU14CAOvX1dPPTmTv05N7rj8usN0suY2bW/5FKITeB3wxtQejYcvuV8MLinJdPeXjd95wz51v+cS/i39cvvBUiuNRkWTHcPGsYe46ewfBSvvsZ0cE8fOAQH8VVXhKvSV6hUwAAFftJREFUnNgb7NtQmzB35uVnqZW235pLSb9D69iurh6N61hQKjXh/B2v5WFS5dJr6RgCYD3nkTx+NYjRUVE8v3spLSSgeYdRfJL29yQwr7aV8Ydp/dh31FKmk1TJo3l45zaeuxrMV1vkvAzl7zt38ExgZImv17+y7UuqQ8KJP50ubO/DC150bW5RMAFYmxPWnGMpLRCqiAguNVT283uc496B6gDbfeJBWbFvZi6vHN/IXo62hMSEa088KqmaiqdK55rPuhKozR+O3P2rPC+TQX+e4QnvPxidnFn69sI/lMbD6z6ntYEB3b/aTt9D69nEoT0PBckK17h/zIO1ADYdPIthia9nClNxy5d9CL0G3HvrRcnVK+I52bk2tRq480lCBJd+0oUAaNisNwPjSWZFcM7gZgRAqy6TGZZWNBNZyqMzbF0bdBi4gPEFqSxfBp1gF2ttGtt3p8eO4/zTx49PX4hzoroRwaUGen7nFN3a2VJNTZ3qOkb87sCtwmUqRSZDb53jnI/70trCnLWketRv2J0+kW+Qwk2ZRs+V0/nj5pMFV5FyPr53j3EJr/V68mR8GBzM56XkyL17dDkNAQ5b4MVXCQiTH17n/A970QAgYMC5Xv7/9qMLr1FlJ3PHdx/SQNuAY2at5J3gIP48axClVs25+fhVhjwOY1pKOD/vZkEN6968Flf8f3Zs6QhCz467A0sJLpmhHNWyLp3GL+WuZWNpatSIwwb3oJ60Iff8N4mnPcayjkUzfjTUmYZ1G/HQndfqyYvn3AGNqGHZhdee/XUO3dgxmxKA41ZfrOhDIlQgEVxqmIDja9jCQsqW703n5mXTaeXQkcfupxcuT4v156COdmzccRAPXLjGRSMcaN9nFlPe5J5MZiiHO4CWnScxJSuZO7/9kMZaOuz+8ULG5ZBUvuT6qe/TUFef/aZvL9Zbyorx43s2OrTuMoFPCy6ck5/8ycGtzQmdRhwx5WuuWL+Fvo8SK+x41Fw5PLx6Yv6wkqY533/PhS0dLKipJqGGtgHNzYxZx7wxx08cx6ZGmhy55GixGsJ8PNnKTJ11O49jqKzk3Mfy8D/YwaY2XQa5s2UDO87Zc4khp9bQRt+e6/fs5PuNTDhy2Tk+PLeWWlIzLj8eUrjtn5unUQ0G/Oa1ix+STH16hW6tbKhn3oKfL97Ch3HZFXtohAohgkuNkcsL2+exvqmUw6YtY2RSCvctdKe5Qzf6hCYzKzs/v7AiN5MRkRFMysgj855ySPNadFt68I32oEq7R7cGUvactIrHPWextp4+6zeoS01LJ/q8UPDKtpk0MTSmvW1tmtq7MCDu9eToMq78pB0l0qY8cS++sPSMxwQC4OydARV5MAQqefXIJk6a9AWXbdxKn8CbvBd4hu/bW7Kt22I+Dg/mvl9WcoZ7f0qhy5k7bhRumSt/yVM/z6ODHqhm3oy/XwsrdS+yByfpaGtEDYDN+s9gAsnw06toZ2DEVq2tad2kNwMTycgLm6ivbsS5uwNJkqn3vdnKBOz0ySrKSqo34ja//2IoLUyN2LDLSF56Ii44qhsRXGoEOc/9Ojt/WEndgh+6udO1fxeaG2lRQ7cWW7fvxK4u/eh1peh9laTA3TTXNeKCfW/2w54WcoyOpmYc/vlMOjex5XiPAzznOYd1zLryyIUz/MC+Ft0WHOAZz6nUMrGjV0Bc4ba3939LHahx0qY/i9R5/+TPtNaVsGmPCTx1LVjctH2bEv/LXg3r0mWmV2HRs7MbaAzQpudI7tl/lHt3reSg3k0oAWjm2IsH/B6WWWWC/x42MgSha0vPq89IktHXttIGIKDGSetOkiRfBOxnI3Www+jVjI9/wW+HNqeWnQt9o8oejt3/40gC4Nifzv6fH16oaBpVNgdaqERKRMUkwM6xHZp16YLOzRtDMzceoTfvw8x5LGaPbADv3aeQGJlSZKvkF8+QmasHOxsrADl4ejcEcl1TNG5qh5JS3efIZEhFDnwObEOtVqNwcPYIxO++DQ1VPPb89B1uZzbFka/coXchGLmZCiSkZ+VvF+WLGV//ANsBs7B8Yq8idToM/Bz7d6gw/1sPjPjgDNymL4bHok9RV1fzLR2rmkuWFI/YpESoxURBpgSk6kC9zh9gvKsX1nnvx5jL+6GhrgaTuvUwau5qzJ0xCS2tDMusU7uWFFACjfpOwKhu9QEAFg5OGPGxC8J1BmDxJFcAgFmzjujTswE8967C6OQLuHkuFFN/9UQXG90i9TE7CZsWzcfJkGggV457t3xh1NAFQ5wd3s5BEf698uNPHtMS45icLv+rJCeT8fFJ1e7ZCKF0yrxcyrOyC6d6KiP92M6mDl1XFUzvVCmoVOT3CxTZMsbHx/Gox6eUSvTYufcQurt2p7mGJjsOm8u4kofXGfGnJ820QWjX5dqzD0iSd/YvZu3898Vy+Hf5w2shh1ZQFxoct+4SyWyuHtuZMGpD70elTztWpUVx8djOBDT4/bG7pa4n/HuK5Iec2Lc9PxiznCmKv8ozX4Ry3/bNXL1mNQ8ePslnsf9gCEqZxDNH9/DCnbgixSqloti046ggf+7evZ3zJg1hv0+X8oWcxagyojmjTztKpVI2bOzAsTOX8HrI8zdvj1Bpyg8uibc4unsDDp+/g69+U7zXTWRzp/F8mCaiy7sq9ubvNDfQYo+F+/h6rLhxwpP9XNqwtrEJ9bU08x+Ua9OZH42ZyLnf/MRrd5+VelER8edGagC0d13IxIJ1EoOPskcTCzq+9wUfJuT/YqU/+YOd64Iw68TZs6bRWkudn5UwrKHMTKH3bk96eKzhqsWL2KOVETVMGtPLN7zYukLFyEpPYbqshF/1ypSbyayc0n9bMtJTGRsby6QU8QxUdVbusFhy+GNcvvoMLdoWvIYjNxL7dh9EvO5wGGi/3V6V8PboGZqgrq4mssOjkAsgf/BBBXXKUcvUBj3e74Q2zW0R8SIe/acugJuDebl1Wrbtjq+nTUWDgeNhUpCfxaSFK7xONYbEsCFsTPNPN6m9CxavWIfDvvcRfP0sjHpMwcIJfYrVp0gOx8YFX+F8XA6groPO7w/EtuXfYKRTvQo7DkJRulKjqm4CoKkH3TIW60trQV9aq9KaI/w75eZzubFrIXrN2Ie1J33xRQ9rZAT/B46d3dDs81/hvWaSeDnZu0opR3DgLaiM6qNlM+uiubqoAiVqlZK/K/bxPcgMbNHUyrjYMiqyEXIrAJFJ6TAytUDz1m1hrCPOOEF4F5TTc8nGndv+qGXTBN3bWQPIxI6NvyAiC+hV11IElneZui4cnbqVvKySAgsAWDVpVeoyiaYOHJ1c4FhJbREEoeKUHR/yUvHsSQzqWDvBQQr47VmBZXsvQ0NdD0Y6epXUREEQBOFdU27nQ00NiI8IxJLFX2DolA1wmTgf/R2McSvoNuSq6pXvQRAEQageyg4uGqYYNHwgJGHn8MP3v8JpwhLsWLMMI/vYI/DsXgTGplVSMwVBEIR3ieRRYtk39LWVqbhy9jQSJJboN6An9NSBpMh7uPzfeLTv1QtWeuI5TEEQajYlAX1NwE5MYiskOfW47OAiUQekhoA6gAwZoMgDNHUAAx0gIx1QiESBgiDUcHkqwFQPcLat6pZUH+VORRYEQRCEf0rMJhYEQRAqnAgugiC8I4gX0ZF4kZJb1Q0R3oAILoIgvBMiru3CgB49sPpkSFU3RXgDIrgI1Zq4IVh5MhIjkSNLrepmlEiRFIL502bjTrIherSzqermCG9ABBehWkoKOY/Rw0Zgh09MVTelxtA1toa2Rhr8rp+Bt/dpXLgWBnkZ66dH3sX58+dxL/ptByQF9q6ch4NBcsz5aQsGtqhTUJ6NBz5ncfQ/pxEWL565q3aq9qXMQlXJSn3Jh8E3eeOGL+8+CWd2KW84z06O4s2AAL5MqcQ85RkR/NzFhtCsz99vvai8/dZwyvggzvukLTU08vPvAFYc8uNx/v0F/MqcaB7e/CWdm5oQAIdsuFZGrXLuWjeTs77fzfwzKJv3b/kzLPK1nDCKTAbdDuST5+kl1hB6fgPrSMBeUzcws+A8TQn157cf9WadglxB49acEVlKqxkRXGqIvNRIbl46h5MnT+anH41g3x5d2d7BjrpaGjTtNJh3k4t/NZMfnOGwLg2pY1iP286Unc624ih5dMUoAuAYj5NFcs2kRj3lk9BwZuWKn5G34fbWqQRA9zUX+eJFCOf2NSDU+jIgo+h6srALnDt/MpctmEwzTQmHbfQrvVLFS37W1ZCwHsyIbBkPrJ5AIy0tOvQex8epJJnJbXOHUFdLm22HL2Pc3/K45CUFcUhzKY0c3Rj0Mv//nhUdwNFONtTQNeeIaUv40y9b6RP0vFjyMaFqieBSQyhlTznjvYYENNnHbQLnjBvDDram1KxtySlrfuffOyYJ90+xezMjmjr24+pd5xmdVHYu83xynju2k8f+uFNYkivPLvalz80uXvbK84B9bKgLtnJfxMScgsLUWB78cSbbWpnSyLQhVxy9U8rWwv8j+NB86gAcvvgKFblJnNvLirptpzMqt+T1433WsbYEHFpWcMmO5IT2ddnCbQG9dy+hpY4xmzdvQDVpQ+5/kMF7BxfTqrYJ2zjWp4FVS3o/SHptYzm3TO9FaNlyz7XowlL/XfOoDvCTlacr5oMLb4UILjVIelw4w56F84HPAX7csy2dBn7Cs3eLZ3WUx93k4DbmrN31UwbF/4MdZD3liNYSNnCZygyVgtcP/sjOzRz42aJfma4kyRye95zL9o4tOXXtWSr+vn1mOD9ztqKWbU9ej8wPZtmJ9znPvSMBXTZu150Dh0/g3qsiE+XboFI+56+T+lAKTRrW0qeWaWt6PUwrdf2I86vKDS45MVfobFubfcd+zvdb2dFtwXZePfADrfTtufX0eY5qb8kek7bS9/D31K5lTo8zjwq3fXhuPY0BjvjhP0XqjAk4wNam2rRoP4Jep/yZITqy1ZIILjXMU7/f2MZEjQDYstt7HOrmzoUbfmN06qvL03R6fOpMfWsX3ojOYW5qDK9fu8pLPj4Mjn1ZduWy+xzRWJvtRyymr/cm1peqUVtHnZr1utM3iQz942fWN1SjnpaE5o6DGJz0+qCXkoeXulMCI649HlRYennzDEoAfrz0KDMr/GgIRby8zxVjnWhh3pA9uranlqklP9pwkvLS0lq/QXDJeHSKjra1aWRoQMv2w/lIrmTE6VW0k5qz34BOtLVuzRNhckZf3EQdTRMu2JffK1XE3+OgZga06TqZkcX+8Uo++GMPBzk1oZa+CftO+JGPE6s4NbNQjJgtVqPk4OrZC0Dzcfj5l62Y6D4ANoZyrJ4zDjPWHIISQPyNI9h6LAQzVi6H+u3t6O7UHs7duqNXjx7oNWAo9l4NK7X2rPgohKdI0cRWAz/9sBZ2wxdh83cTIc3MQ8rTu1ixeBUsXZdj47ejkBEfggdRf80yirmxF7OWH8F7s1Zj+uC/0oNp6+hDG0B64nMkJMje4rGp6ZQ46fkNFngF4Tvv67h05SpWfFAHB2aMwq4bSSVuoaGhDgBQUy/95bU5mRlQZKYgNV2C8bNno4mOGqBjAFVWPM6dDkCL4VPg2lAHEm19mCqScO/uAyiVefht1dc4GWOO1RsWw7ZY6ig1NOszGif8QrDpq+44v2Mh1h/xq6DjIFQU8UrjGkUboxd4YvgifehrFRSluuDSqdMICHoMAPA7fxaROk1gr/YY0z6biRi7AfhmeTfUzovAlrU/Y4XHXgzpvgQGJdSelZCAeIkKKUe3IVO/FbzXLYT6se+grZ6B817Lcf6RDtbtmA77uyuQmXkZz1NkAEyAtGdYNHMWZPbD8NOi8dB8rc6OH36JjaHP8Y3Hl+h6YT++Wvwjpn3kAp23fKRqHgWioiIA6IJKbeSpJNDX0QSQCYVEE2F+u7HytwcY+NUCDGpiiJzsHMgys0EACnkG5PIcaOtoQ+1vKUwlaoAslajjPApT3DoBAOrYO6JD67owUO+HZbNHQw2AmX1LdHQ0xH9+WYrpOf44t/U8hn69H8PbWRStMC8LZ373gm9oHDSUubjiHQDo2sDBtg6EaqbMfo0qj7Gx0YxP+/vN3BwG+d/gk6jkt9enEipURux9njhyjA/jZCRJeWYyg6+d5uyRztTQNeSCvflDG/sXuRMGlnRq04xWjq68EpNLeVosj66fR2MdKcetOlH8XkmBmCvbaKGnRkCLM7ddJkne3LOocLqo8/i1VJC8+/syasKAs7zyh0COLPmIUDfnxkthpbY/Jvgyx/W2J7QtuPnPxxV2XIRXVLzvvYmdbA2pBjVqaWlSzciILpPWM1FJHprXgQA48WgUs8KOsau1FtXxasqyhLUsP6RfWvHxM5U8nGu++4objwcX2VdSXDifJ8iLlAWc2MUpU6ZwaJ82tO82ikEJxc80VfozftLKigCorqnNFl0G0POIHxViqli1U2ZwyYj0ZT/nVnRbdvC1OeQqnv5lNs0MpJzmcUpM/3tH3PSaQ02AJvWas1u3buzQvgVNdNWoYeLIeVuOFz4/8Pz2ETpZaOT/aEgt2K2XCx3t61CiZswxC7axrKHtsHPrqQnQzGkCnxaMk0f7bmNjfdDArg8vPkolSb68fZBN9ED9ViO4a8cmtjQE+8zYxr9PSlIpcng/0I8XLl7ixVPH+JmrPSGRcs3pYApvR/wTfx7Y4snNmzdz/2V/ygrKn4f6cudvRxmUoqIyNYxHdm6m55at3LFzJ7f9uoW/7jzHuJwyq35jyVGP+CAyqeSFKiWf3A2kt7c3r98IZFpeyasJVa/M4JL6+Cwb1ZKw2bgNhc8bhJzcQCuA9v0m806Y6Lm8K1LCAjhv3BA2btiANnZ2bNHzfc5ZtZ2+JUwHu3/JiyNcO7F508a0q1+fXd2n8ODFO+U+pJYZ48NBLt24cOeNvwoVifQ5fZiXA6P+KlOm8pcFn7Jlpy5s06Qu6zTpT/+Y4rfrc2LusJ+VfsHVMWhevzFneRxicmlPfAqCUG2Umc+FqWH4uJsz/I2HIODqFpjJHmFop464qNYLly4dRAcz7UoZuhMqiCoPicmpoATQlhrBUKv0W26KXBlS0+SgugYMjWtDR1Lqqq/vAFkZGVDXMYR2eXfz8hSQZckQfP0PJBu3hatT4+K1ZaXg+B4v3I1JQh2reujezxWt65m/SUMEQahi5SQLy8aW6f0x/UgafG75Imvvp+i/5Bo2nb2OyT3qVV4rBUEQhHdKOVORddB7wGAYy6Kxcfl8zF9/Bv2mf48JIrAIgiAIZSg/zXH6fYzo+R4O3YmHoYMrzl04CCfLYhPPBUEQBKFQ+Q9RGjbD0D4dAWjhy3nzRGARBEEQyiWJSSu75yKRAElht3HyaigGjPkI5pqASmRwEgRBKKQCoK0OmOlXdUuqD4n343KGxQBoaAP6OkBWJqDIq4xmCYIgvDvyVICpHtDVtqpbUn1IcvLKDy6CIAhC2SQSQFO8rbFQ+Tf0BUEQBOEfEnFWEARBqHD/AxNEBJiY1TDpAAAAAElFTkSuQmCC)
What is the momentum of object B before collision?
What is the momentum of object B before collision?
PhysicsGrade-10
Physics
Observe the image and answer the question below:
![](data:image/png;base64,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)
What is the momentum of object A before collision?
What is the momentum of object A before collision?
Observe the image and answer the question below:
![](data:image/png;base64,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)
What is the momentum of object A before collision?
What is the momentum of object A before collision?
PhysicsGrade-10
Physics
Mass of the blue ball is 0.43 Kg and mass of the pink ball is 0.45 kg
The following example follows law of conservation of momentum. Is the statement true or false?
Initial:
![](data:image/png;base64,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)
Final:
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAANsAAABACAYAAACTIgLAAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAAFxEAABcRAcom8z8AAB8gSURBVHhe7V0HWFRH2/X5/kSNlWJBEUGkGGOqfEkssWFFNBZQEbGCldgVNdhLVIwajTXGHjUGG7ZYSCzRqLH33hu2RI29nH/O7L24LAPurgj7Pe7Z58Du3bn3zs7MmfeduVMy4Tlgp512vn7axWannelEu9jstDOdaBebnXamE+1is9POdKJdbHbamU60i81OO9OJdrHZaWc6MXWx2WEdVGlpDe2wDqq0tAHaxfY6oEpLa2iHdVClpQ3QLrbXAVVaWsMU8OTJEzx48ED7lBzPnz/H/fv38ezZM+2Idbhw4QLu3bunfUoZvN+jR4+0Ty/A468ah4cPH0paBFVa2gCtEtvNmzexbdu2VBNyx44duHr1qvbJcjCjx40bh9jY2BTv8/vvvyMmJkby22+/lecQBw4ckJ95fOTIkTh48KA8bg2uXLmC3bt3a5/MhCotrWEK+PPPPzFq1CjtU3KwcA4cOBCnTp3SjliGf//9V57fsGFDtGzZMtXfT5G1aNECCxcu1I4YcOjQIbRp0wYJCQnaEeswdepU+XstgiotbYBWiW3Pnj3o3LkzHj9+rB1JjqioKGzatEn7ZBkuXrwoM3DIkCH46quvMHToUDx9+lT71gDW7k2bNkXz5s0RHR2Nvn37Jhaufv36ISgoSB7r1auXFL61mD9/PmbPnq19MhOqtLSGKWDjxo3o37+/9ik5KLbu3bvj2LFj2hHL8OOPP6JLly64c+cOfv31V7Rq1Uq+V2HWrFnInz8/fv75Z/mZFSOPvfvuu/D29pYVs7X4+++/ZRm4fv26dsRMqNLSBmiV2Gg5WMDpqly+fDmJ5aEl4PFBgwYlq5Ho+uzfv1/WlDqPHDkihWMMWqXBgwfL9zwnPDxcnmcM3ocFwlSErAAo0DNnzmhHkoNhmJF3796VFcft27fl8ePHj+PkyZPyPUE3iJbx8OHD8jPFvGvXrpe7Naq0tIYpYPPmzfjmm2/wzz//SOuvF2gWykmTJsm0Yf7w9xiDadikSROEhoZKNm7cGAMGDEhSaTI9O3bsKO9BMA1Y8akqLKYFK7avv/46UWwUJfNuzpw5qF+/viwfptC9lhkzZkjr99NPP8ky1bt3b/Ts2TPRI+L1WRaIffv2ye/at2+PZcuWJcv3JFClpQ3QarHRarCwMmO2bNkijzNhIyIipGViYTAV2+nTp2UG16pVC7Vr15b/mXgs+MZgrbxy5UrtE2QmmLopFEmzZs2k1aHl08V448YNWaDofrBW3LBhgzxuDMazQYMG6NGjh6y1GZ6FlPetUqUKFi1alBhuxIgRUvB0Z1u3bi2FzwLC35IiVGlpDVMAhaBbe8ZpxYoV8vjixYtlBcTKoE+fPsnERlEyr3TyOnv37k1ScNlG4zX19KTYeE1aOGNQVLr1/O677zBv3jx5nOEJVmB16tTBpUuX5Gdj0K339fXF5MmTZVOgQoUKshz98ccfiIyMlO4/wWvyvrxXo0aNsHr1allB07U1rXyTwDQdbYRWi421GTFt2jQpLGLBggWypiRYu5mKjRaQVoxkBuvv9QzSwUykq6SD15o+fbr2yQCK0c/PT9aKEyZMwJdffikz4OzZsyhXrpw8RnemRo0ayYTKmt/f3z+xAHXo0AGdOnWSNXxcXBzCwsLkcbrBP/zwg2yXsOAwswkWata6KcI0Ha1lCqBIdMu/dOnSxLygy7xmzZrE96Zi4++mxWEFpZNpYOyZsL3GyoR5rKNbt26Jv51g3o0ePToxTyj8uXPnJslHVlQpiY1WqnLlyvJeBOOq5xHznU0QXotexYkTJ2Q4th9ZLlatWiUto6k3lASm6WgjfGWxnTt3Dm3btpW1JmvT3377TR5nA9tUbBQCXRK6F2xT8T9rTbpDxqDFiY+P1z5B3ouZaQzWdrRiOsaPHy8tIDPB2MenKCke48xhZtGa0QITrJkpTIIiateunXzPY/rv4f0pXMabhZSucopQpaU1TAHGYuNv1d0+tqNpUSgGldjoDjO9GY7/ed6YMWOS9CTyXLrhet6x0NP6G+cl87pu3brSS6GVKVmypKzgaJl0pCY2WtPq1asn5ju9JFZgxPr16+Vn5g3FpqczfxddT6Y/K1bdm1JClZY2wFcSm+5+0G8fO3asFImeOCqx0e3866+/ZE/m9u3b5X+6g6bdxmz808XQwcw3TVy6Tsa17cSJE2U7kddjp4aOtWvXStdPjytBsbHNorfr2C5gpwDBeNGVYeYOHz5cFhYKla4k3V3ely7NsGHDZHglVGlpDVOAsdgIFkJaarrCBOOqEpu5YMXFNh8tHtOD7vqtW7fkdSluegDXrl3D+fPnJWlxKFrjxwQUG5sKKrExj2jZ9OYDK2m66QTzi/lP0bEpQLANx/adnof0RJg3KUKVljbAVxKb3rBmu8jNzS2JQFRiMxdsjLMGo4tDd5DtOroSFAk/U9DMjPLly0vLRQHUq1dPuie0nqw1davEtpmpG0lrzFpX772kG0SxEhQ1LfXOnTtl24E1OysJWjtaN7o1dKvoRqUIVVpawxRgKjZWYMWLF5e/n3hVsVFIdKtpuUi93Utvg5WU6bM3WiC9g0QHxUbrl5pl08VGS6a3k3XLRhdVt5S8H8tbSEiIbE/SIqf6WEOVljbANBEbrQA/G3c1v4rYCN0isdbTM4xuEAu9nkksBPzMxGcNrIMN8K5du0qRLl++XDv6AnQ/KRb9GRB7t5jJBAvozJkzZdyN240sILTcbM9MmTLFZtxIgjU+22N6m+lVxUYwb9kZQdHoYKXDCs+4jUfQrTR9NEBvQPcKTMEOHLqJ+nWYH7w2QWHRetKSmp7LnmtWLKmmPWGajjZCq8TGjghmpi42Fehabt26Vfv0hkGVltYwBdBis32aElgY6XqzcL6RUKWlDdAqsdHCsFs9NbGxy5y10BsJVVpawxRAi5Hag3paOrrDpo9U3hio0tIGaJXYmJkvM+X8XuVCvBFQpaU1tMM6qNLSBpi62FKiDtV3OnWovrOGqUEV3s60ozlQnWdnElontvSiAg9u38Hta9cl+V4J1bXstIwmuP/4Ic5duYgDp45g59F92HVsPw6fOY7LN64mD256LTslbVNsRkg4cxYLZ81Cr6goNGoShsr1g1A6OBhlBKsEBSEkLAx9evdG7Ow5uHb2nHaWBtW17Xw5NST8cwNzlyyQD8Eb1KiLRsWronHeCgh1KC8Z4lIRDT6pjtCgRug7oB9+3RKPh8+M2vGqa7/BtD2xafhj/Xq0adUKRatXR27xP/PQYci9eDHyb9iIAlu2SuYT73PHLkLmIUOQu0VLeFWrjsiICPypjfqQUN3DTjU1nDh/GtFD+qHm+xUQmbsGZmVtiyN5vsXNQjPw2GMB4BmL556/4L77T7jiOg07HIZgdNYwhAoh1q5QA5NnT8Od+4ahWBKqe72BtB2xaTh9+DCaC2vlULUqcoz9DoX27IXX1WvwvZoAn0uX4XPhYlKKY/zOK+EaCu3ajewxMXDy90dEs+a4aDSCX3lPO19Q4PGzp4iZOBb+3p9jUJZgnCowESi6EvBdBfgsF1wmuBTwXmIg38tj4jvf1UCRJfjLaRjaZK2M6uWqYNWGtYYLE6p7vmG0DbFpWDhzJgqXKoVsw4bB4+Qp+F67AZ/zF+B96rRZZFjf6zfgceIk3hkwEJ5lyiBWG/Moobq3nRIXEy6jQUhDtHi7HI67CJFRPBSR9yILuFicJ8TpvRLxDn0R4FASXw/tr99Cfe83iBkvNg3D+vfHOxUrIl98PIrdvAUf0f5SCcoc8lxfcY186+PxTtkvMHroUO0uAqo4vMkUOHD8EKp8XgFjszYVlixOiGyFiYgsJUW3GrcL/4Tm//cFWrYNx8PH2vhXVRzeEGas2DQMjo5Gljp14H74iHQJVQKyhryW2779eKtyZcQMGqTdTUAVl/8Vvgyqc1KiwEnRPqv4cRksztVNiGyNIF1ElYCsoLCMzz2XoNN/qqJF61Z49ETrPFHF5XXTHKjOS0NmuNimT5iArNWqw+P4Cdn+UonGatIVvXIVhQ8cROby5TF7kjZQWhUXW6cGjkP9c+ufmDF9BoZ/M1wOAp4/bz727d2HJ4+NBhGormFMAXZi1AoIxNzs7YQlEu0rWiSVaF6FPnF4VnQpwv9THj0H9DHcmFDF6XXQCJdF+Vq/bj0mTpgo027M6DFyXGyyMaSq66QBM05sArv+2II8n32GAqLw+F6+ohZMGpAWzkXcy0W0Bw/v1havUcXJFqmBA4I5RI6zFTiRkmMj5YJGI0aiW9duCKofJGc4TJo4CQ8fGC3bkMo1u/bpge7/V0OIgh0gr0FoOoXg7haej4DsnyBuvbgXoYpXWlPDrp270LlTZzkPjtOFOMGZacfZHu3atpPHWzRvIYWXCNX1XpEZIzaBR/fvo2btL5Fz6g/wvXFTKZI0o7BwxcQ9cowfjzr16uGpPn9OFTdbogbOgOdyDZxZcfjQ4SRz83RweBxnA7Rp3Qa1Amth6xZtEHgK1924YwsCnP6LfwvPk2JQiiTNGAsUW41tjoPh/2k53LyjjdlUxS2tKPD40WMprGpVq2Hc+HFJZjAY4+9bf8v5dJzM3LxZczlHT0J13Vdgholt0axZyFK3HrzoOp4+oxbJy8jzzD33zFkUvXgJ2YRliFugzb1Sxc1WqIGTVDn3a8/uPdoRI5iE1bFs6TKULl1aLpkgYXLdJ8+eolGDRlicvbNwH39ViONlpBW0whL6rEa3zAEYMd6wiE+SeKUlBf69+y+ahjVF64jWyZfTMwmrgwPrY0bFoGLFijh69KjhoHHYV2T6i43/RI1TuVZtOC78Bb4J19TieAm9LlyUQvWyoNeS93KY+xMChXV7rrdvVHHMSBphwvcTULNmzRfLP6jCm1IDXScKTl/Wwfj7Ddv/QH3H0nhWRFgc+cxMIQwVvYR4+dzNa7n4L1wuvvekVTRTeL7LcSLvWNT81B9/3zWsaJYk7q9KI3ApBy79kAhVeFNqmD1rNipVqoSLooxJqMJawQwR29b18XCuUxdFKBRLrRrDizaYx4yZcGrYCMUXLYa3SBRlWFOK+xU5cwZOAQHYu1lbL0MVxwzk/Xv3pUvIDg+uecJGvYQibKoUYGcA3U/TqTZdenXDj9kiZPe8UhQqFo1DgvdMzC7RE309Q9HLsxFGFAvHtpLfGURolmgpyuVond0fsWu09pEq7laSbiMn0HIJBa4n+vwZv3jxvVnUMGL4CDlROBGqsBYyQ8Q2pG9fZI7ua7lVozUT57jNmYvQ8HB8HREBvzFj4SncQ2V4BX2u38A7Ub0wbOBAQ2RUccwoCrDAtI9sD8/Cnhg92GTpBdU5KVFD927dZc+bjruP7qOuX1WcyjdOuHVmPrT2WoaDRcehXfUwdBjQDQEt6qGGYLt+XdCmU3v8UKonnkmxmWHhhMDn5YrEVx07ajESUMXfUgqcFU2FwFqBcM/vjm2/bzMcJFThU6PAo4eP5BoqXGpPQhXOQqav2ASeih/xZcOGcF4WB59LFvRAnjkHT9FuKTJoMJqFR2DNsqWYNW0aPh7/PTzNtWyCfLyQS7TZ6oc0xvOn2vR+VVwzghrKf14emfJnQolWJRDZNhJ7/9irfWMCk/MkTK537OgxWWj0hVw3792OsEJV8NzD3HbXEtzznI/oSq0xdt5kdKkdjok5W+EXp27o5dYAY8eMQceoLthcUrTDPIW1Ul7DiD5xOOo8GsFlauLeE63X1DjO1lLgnPBccmfLjUwlMsGvoR+G9R6Gc0dNBqfrMDpPwvha2vG5olJnb2ViONMwFjLdxXZLFHafWrVQ6K+dcmyjShDJeO48PPfsgR/XJBFs1749WnWIxI8TJuGzGbPhdfc+it38xyy+e+ceCh0/hU/rN8DzexZu2JBOCKwQiGz9suGD5x/Aea4zCtQvgLBmYdi4YqNoaz6X3ft0M3VQUHIx2fvaZhtG6U2wu3vdunXy/awFcxGVs44o+OaOEonDQY+xaPRlMOq2CcHsAl8JwWwC3t2Bu84zMbB2J0xbNhcLSg8APET70FvcJzX6rAfcVqK5T01cvGH9XhAq3Ll+B+5F3FF4U2H4XPSB41BHeNXwQlTnKJzcexInj53ElMlTkjyPXPjzQqxYbljk1rSsJojmCh8LXL2ixdP4eyuY7mI7tW8/8oiaVj7ENrdz4/wFeP65DZ5ly+LD0FBkbhQCr5L/RZ0aAXANrAPHnr3h3K2nWczToxccOnaBQ7H30LNTVwwfOty2OHg4ipUohsJrCuO/2uv9x+8jX2w+5G2SF0GhQfjE9xMMGTTEkKACfNbG50SJC/EYpTfBB98MI9+PGYWYtxoJd45jGFXiMqHPElz3nIm5BTpjiHMIzhWZjni3oRju1BTR2euhovfnqBVcF0EFy2N4rjAMd2jyUo7I1QR+OXzRpl07dRpYyZ6deyKfXz4Uv1I8Me18b/nCaaITioYURc2AmvBx88GRw4a1WVg5cUm9pUvUvbb8z4pqw+/aqtrG31vBdBfbzvjf4CzE4skBxpZ02x88hAKxi+AuavE8A2Lg0DYLXFe4wmORC4rMdxR0MpOO8FzgjCLL3eC4wAm55+ZG7p9siHNyI2ulrHjv4HvwE69PxKukeLHgfCherr+5ImdoThR2L4ypk6fKpfu4vNyqlSk8LBZYMH+BbLsRfQf1x4+Zw80XmyRH+PPBNx8TxKONcxVk6v8fOMUXQMHlrnCJdUH+lQWRe3U+s1lodWHkEfmQVunvMN8BOUbkQK7aufDJc0Oa6WnHdCxxv4SIa0FkK50N/hX85WpqXHeUa4DyMYGEIu24otqsmdpgdtPvLWS6i23bmrVwbhxqaGdZ0hMpwrK9xUHKzt0GwX12XnwqCqAfPhb8UPAjC1lS/P1IFmBbeTE+H4iXY3NHKTa9wBgLjv9dN7kiU+ZM8PLwkltHhYjKi8O4JBRpvkhUUlzaj+jTLxqzs7S1UGw6RRuvaDw6OtUQQnMRacgK4GOryN+Rlun/sXj5nhJWrIlTYprpL97rU/FimJz9cyJTpkzSPeQAgFExRltvKdKOSylO+2Ga4YPp9xYy3cW2f8tW5AkKgqewVuz0UAorFXLoVb5hI5Hr85wo2LwAnEMLwKl5YUE3M2kI69AwLwo1KwT3lu62w1aCLdyRo3gOFNtVTBRmVgmaVXv2IfIvzw+HMAdUrVcVQcFB8jnc5EmT5UrQiVCkORc81Ze+G/TNEEx4q5kVYmNnygr8VTAGFYr4IUvlHHBs6Aj3YFeNBc2mhwifPygvXJuK81TpYAU9wj3gWs8VucrnwkcPPpLppqdd8bvF4TjBEc4BznLh2KqVq0rXkEvh796VwvA9DZEdIhH7i2G15mRhLGS6i+3yiZNwqVkThYVb6HPuvFJQqZFz1lw2bEBARCcM+6oPSvQZjkKb9sJ9/Q6z6LFhN1yW/Y4ipathz9ptSDiZgIQTNsRjCahYuiLyzMqDz8XrvQfvIe+CvHCs64iadWsidmYsntx/gpMiHTm8iA+9OTBZQpHeBF0hPnsiJkyZiMGZg4RLaInYhNC84rDQqStaN2iOwZNjUPf9aliWLQoJTrMEpwv+aCan41rOaQjOXR6r4tamafrvXLcTbh+4wfuENz4TL9/LvnCIcYBLRRe0bNISW9ZskenCSiogIEAu4ssufglF2vE7rsx98IC2maZpGAuZ7mK79/ff+OzLOiiwaTN8LHg+plOKTVjHoK+jMUW4UH5TpqJowrXkM7hTIJ/t5RPn+4uC+kxPaBtD1VJV8Vadt+AyxwX5AvIhtFEoflv+G2A8qP/5c9m4L1u27IslAxXpzUHJrM31ArNkzXJE5q0p3EFL5qwtx9K8PdA8JAwxk8eiX6lwXCgwRbqU8BTtOC9OzWGbjrO2OR8uFQqLeq/gHDT4sBqu3bkl45RWuHLpCgrmLQinb5zgOMIRXhW80LVtVxzeadhfTweHvr399tuJewkkSzct7bgnAQd4Jy7bqApnAdNdbKKUoHV4OLILP9iauWsUW34h1IbRfTF9zBj4TZho0XM23vOdcePQVtupRhnPjKKG8uXKy3ZFiyYtsHPjTu2oBqOwB/YfSNkN0sJwdxju2PP0iWHw8vFLZxBUtCLuus4RhZ8jP1TiMuYynC40AT0atseitXEibuXQuEgV9PQNRSffIHQuFozWnoGI8+qrjSR5ybM7YVE3Ow5Ak9oN9Siq424pBc6Idr1DbgeZdoP7DMbpQyZ76Glh2fW/WZShmzduJr2GMQV6RfVCzEjDXnHKMBYyfcVGCsycPBnvRETA29IRJIIUWyHhNn0aFIzmgYH4aMxYFL1kwTw4cc8cwlefP82wa40yjhlFgXt372HR4kXo1LETonpEGQ4SKYSXSOE7dm3TzeSwLWOEfNlAFnjzXMkVmOESiTpNgxHz/Wi07/oVwnt2QLOebQTbomWfDvALqYQBH7bQHmq/TGyrMSJbCIaOHWGIjCru1lDg+rXrmDd/HurXrY8li5YYDhKKsIkw/U77nnuCc6hbWj1jIzNEbJdFoS9atRpcd++W4lGKIgXy2ZzXocPIN3IknLp3R5HVv5rd9qMb6frXTnj7++OGeC+himMGUrdABHfm0dtaEorwSmrgHC7SFOOnT0JUllqi4AvXTyUIYwrrt8fjW4zK2wzjXMIxya2dYPsXLNwO37mGY5uHEI/3yyzbEjx2/xl18pfB3mNp0w5KQg3Hjx2X+8UlblipCpsSBbhvHMelcuPIRKjCWsgMERvRpUMksgwYKOeZqYSRKvkYQNQ40jJSrCdPqcOZkPPmskRHo3e3blosBFRxzEgagdM8vij7ReJGjYlQnUdqYHuOLhAnk+q7exqHuZBwGdWLl8VFl0lCTKIdpRSGEdkW8xZWkKP9vURbz5T8TribynON6fsrFmfvIt3aZ9qOO0nin1YUWLJ4CcqUKZN0TwRVWJ0aOKytXt16co84CVVYK5n+YiMFju/bjwKi9ikkGqvWdJRYSt6j4PYdcPviC7lcnoQqbrZEAe5Ew5EPnI2t75SaGtio555qzZo2e7Gjq+K6A2OGondmYd3kfLaXuH5pQWEh7wmrFpDLD+u3ps2IjFQpwHl93K+bmzsmVjqpIG5ZnHQdjbfjUl7bSmaM2EiBYf36462WraSF8uFzN4VI0oTi2j4J15E5rCnG6juGquJkixRgQeF+d5xEytna3HPutPhd3NPs9j+35fAjzubmjpx0fxJ72YgUrnnz9i1U9iuHLQ4DheAsmGpjLX3XYGSWRmjbuYMhAqp4pTUFOG40IiJCDsbmDrPc0+/K5Ssy7W5evyk3veS+6Y1DG6N+vfpJN+pXXfMVmKFiuydq3qqiAGUT7S+5NIIlI0rMpbimdB+FyGoG1sLjNOrGTVdq4BQSbqfMiZEcNcJuaT4HahzSGO3at5ObOBrvM668lk6BFb+vQSWHD3G90EwhBrqDCpGkBYv9ivhc0ajwUWlcun7FcHNVnF4HNewUbXUukcD91Rs2aCifUQYHB0svgKNrVq5YKac3JUJ1rVdkxomNFDh34gTeF65d7pmz0l5wonDymtm/n4APSpXC+RPaCsmquNg6TcDxfJxJfEm4x4kPZnWozldRYPTEcQjJUhqPPBYKV8/SRVnNoHBTd+UZgVIuJbBh+2bDTVVxeZ00wa2bt3BBtPU5qj/Z96bnpiEzVmykwAHuCV22LLIL39rn2nWLeyhV5DUotHdiRqGEENrxAwcMN1PF4X+NKqjCvYwaevX/Go2zlMENt9lCHGb0UJrFJeJaa7HFcTBK53kPcetWGm6mikd6UgVVuNfAjBcbKXBk3z6UrVQJb3/VUS4fzmXEaZlUQkqNcjVkca77kaN4OzIS5Sv54+T/SodIRlDDN2NGolruj7HD8RvZvjL0QKpEZAY57tJrOeZk64Aynp+8WPNfdf83iLYhNlLg7q1b6NohEg7+/sg19QcUOSvcQFo64SrJuW8qF5OPAc6dl2EY1uPkaeScOBGOFSogqnNneU0J1T3tNFDDwlVLULFEKQzMEoyrrtOF4PT1/l+2vshi2dtoENlK7M87Gi0zl5cPl/cfP6RdXUB17zeItiM2UsMfa9ehXnAQ8gUGIsvAgci3bj08jh6DF4d3sV0nRCUp3ntduQoPYcXyijBZ+/VH/ho1RAO4AbZv0LqXCdW97ExKDReuXkL3r6MQUKQMBmYNxkHnUXhS5BchKAqPFIJiZwrJ9zwmBHbbfa7sBIl8pxpq+FXE9zMm4wlsbNmJDKZtiY00wvb4eERHRaFCnTpSeI6tWsGpew84Rvc1sHt3OLZoifyBtVBRhOkb1Qu7Nm7SztaguoedKVPDkbPHMThmGOpVCkRD53KIdqiPqblbY3G2zliVvSdWZuuBn7N3xHcOLdHFIRB13b5A40YhmDRnGm7e1Z7vEap7vKG0PbHpNMKDu3dx5uAhrP0lFjPGjcO4kSMlZ4wbj3Wxi3Dm0GE8NH1oqbqmnebRCPcePcCOw3swaf50RPfvi8jwdogIbYHWYa3QuX1HDBo+BD+tjMWJiyaDfgnVtd9g2q7YdFoK1TXstJ6WQnUNOyUziX92pDf0DLAjY2AkgPSkXWwZAT0D7MgYGAkgPWkXW0ZAzwA7MgZGAkg/Av8PUJrAHGTUkNgAAAAASUVORK5CYII=)
Mass of the blue ball is 0.43 Kg and mass of the pink ball is 0.45 kg
The following example follows law of conservation of momentum. Is the statement true or false?
Initial:
![](data:image/png;base64,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)
Final:
![](data:image/png;base64,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)
PhysicsGrade-10
Physics
Mass of the blue ball is 0.43 Kg and mass of the pink ball is 0.45 kg
The following example follows law of conservation of momentum. Is the statement true or false?
Initial:
![](data:image/png;base64,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)
Final:
![](data:image/png;base64,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)
Mass of the blue ball is 0.43 Kg and mass of the pink ball is 0.45 kg
The following example follows law of conservation of momentum. Is the statement true or false?
Initial:
![](data:image/png;base64,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)
Final:
![](data:image/png;base64,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)
PhysicsGrade-10
Physics
Mass of the blue ball is 0.43 Kg and mass of the pink ball is 0.45 kg
The following example follows the law of conservation of momentum. Is the statement true or false?
Initial:
![](data:image/png;base64,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)
Final:
![](data:image/png;base64,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)
Mass of the blue ball is 0.43 Kg and mass of the pink ball is 0.45 kg
The following example follows the law of conservation of momentum. Is the statement true or false?
Initial:
![](data:image/png;base64,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)
Final:
![](data:image/png;base64,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)
PhysicsGrade-10
Physics
Mass of the blue ball is 0.43 Kg and mass of the pink ball is 0.45 kg
The following example follows the law of conservation of momentum. Is the statement true or false?
Initial:
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)
Final:
![](data:image/png;base64,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)
Mass of the blue ball is 0.43 Kg and mass of the pink ball is 0.45 kg
The following example follows the law of conservation of momentum. Is the statement true or false?
Initial:
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)
Final:
![](data:image/png;base64,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)
PhysicsGrade-10