Physics-
General
Easy
Question
A 10 kg brick moves along an
-axis. Its acceleration as a function of its position is shown in figure. What is the net work performed on the brick by the force causing the acceleration as the brick moves from
to
m?
![](data:image/png;base64,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)
- 4 J
- 8 J
- 2 J
- 1 J
The correct answer is: 8 J
According to the graph the acceleration
varies linearly with the coordinate
. We may write
, where
is the slope of the graph.
From the graph
![alpha equals fraction numerator 20 over denominator 8 end fraction m g subscript 0 end subscript equals 2.5 blank s to the power of negative 2 end exponent](data:image/png;base64,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)
The force on the brick is in the positive
-direction and according to Newton’s second law, its magnitude is given by
![F equals fraction numerator a over denominator m end fraction equals fraction numerator alpha over denominator m end fraction x](data:image/png;base64,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)
If
is the final coordinate, the work done by the force is
![W equals not stretchy integral from 0 to x subscript f end subscript of F blank d x equals fraction numerator a over denominator m end fraction not stretchy integral subscript 0 end subscript superscript x subscript f end subscript end superscript x blank d x](data:image/png;base64,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)
![equals fraction numerator alpha over denominator 2 m end fraction x subscript f end subscript superscript 2 end superscript equals fraction numerator 2.5 over denominator 2 cross times 10 end fraction cross times open parentheses 8 close parentheses to the power of 2 end exponent](data:image/png;base64,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)
![equals 8 blank J](data:image/png;base64,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)
Related Questions to study
physics-
Force
on a particle moving in a straight line varies with distance
as shown in the figure. The work done on the particle during its displacement of ![12 blank m](data:image/png;base64,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)
![](data:image/png;base64,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)
Force
on a particle moving in a straight line varies with distance
as shown in the figure. The work done on the particle during its displacement of ![12 blank m](data:image/png;base64,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)
![](data:image/png;base64,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)
physics-General
physics-
The potential energy of a system is represented in the first figure. The force acting on the system will be represented by
![](data:image/png;base64,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)
The potential energy of a system is represented in the first figure. The force acting on the system will be represented by
![](data:image/png;base64,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)
physics-General
physics-
The work done by force acting on a body is as shown in the graph. The total work done in covering an initial distance of 20 m is
![](data:image/png;base64,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)
The work done by force acting on a body is as shown in the graph. The total work done in covering an initial distance of 20 m is
![](data:image/png;base64,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)
physics-General
physics-
Two rectangular blocks
and
of masses 2kg and 3 kg respectively are connected by spring of spring constant 10.8
and are placed on a frictionless horizontal surface. The block
was given an initial velocity of 0.15
in the direction shown in the figure. The maximum compression of the spring during the motion is
![](data:image/png;base64,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)
Two rectangular blocks
and
of masses 2kg and 3 kg respectively are connected by spring of spring constant 10.8
and are placed on a frictionless horizontal surface. The block
was given an initial velocity of 0.15
in the direction shown in the figure. The maximum compression of the spring during the motion is
![](data:image/png;base64,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)
physics-General
physics-
Six identical balls are linked in a straight groove made on a horizontal frictionless surface as shown. Two similar balls each moving with a velocity
collide elastically with the row of 6 balls from left. What will happen
![](data:image/png;base64,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)
Six identical balls are linked in a straight groove made on a horizontal frictionless surface as shown. Two similar balls each moving with a velocity
collide elastically with the row of 6 balls from left. What will happen
![](data:image/png;base64,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)
physics-General
physics-
A force
acting on an object varies with distance
as shown here. The force is in
and
in
. The work done by the force in moving the object from
to
is
![](data:image/png;base64,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)
A force
acting on an object varies with distance
as shown here. The force is in
and
in
. The work done by the force in moving the object from
to
is
![](data:image/png;base64,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)
physics-General
physics-
What is the velocity of the bob of a simple pendulum at its mean position, if it is able to rise to vertical height of
(Take
)
![](data:image/png;base64,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)
What is the velocity of the bob of a simple pendulum at its mean position, if it is able to rise to vertical height of
(Take
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1NmzbJNrtSeq+2tLQU/f396O/v191j+ogSpBSv14v+/n6UlpbC6XQmFOX4+DhWrVoVV0jRpngm+hxN2KtWrUprMlswGITP50NFRQVqamoiRNnU1KQ7IQokvca4VrHZbLDZbIv6xq1WK2w2GzZv3gy73Q673Y6JiYmI6aDxZt/Fm5EX7XdpWqnOvBMEJwiNZVmMjIygq6sLZWVlRLcLU4F4QcZieHgYgUAAly5dAsMwGBoaAqCt2Xcsy+LcuXNgWRYcx8HtdocFqaXBJ5lEt4IEHpkhcZuzsLAQk5OTWLlyZcLZd+L34s/S36NNkBImOhUWFoLjOLAsi2vXroUfsSeYM7PZjNLSUnR1dem2Ck4VXQtSSmFhIUKhEMrLy+POnhNWZhCLT3iNNcFJKsypqSkUFhYCAC5duoTS0lK43e6I3iehuUH5P4YSZGVlJa5du4aqqqqYQorWlhSINng1ljh//PFHbNmyJaJEpCSGaJedKq+88gquXLmyaGqndLJTtO+S2Uec7uDgIHbu3Kn2IROHoQRZW1uLX3/9FaOjoxGjdaLNwos1qy7Wb+K0RkdH8csvv+Dll19W+5CJw1CCBIADBw6gp6cnqpCiiTTR+2i/nTlzBgcOHFD7UIlE84Mr5MYIw89IxnAl5IoVK3DkyBF4vd6IAbaCqMSDbcUjeKSfxfuJ0/F6vTh06BAV4xIxXAkpYKQpDCRhWEECjyZ55efno6WlZdEUBmmftfQepHQKw/HjxzE1NYVvv/1W7cMiGsNV2WIuX76M5cuXo7m5GcPDw4tm14ln3UnfC/sODw/j4MGDePzxx6kYZcDQggSAs2fPora2Frt27cLJkycRCoXC4pMKUPx9KBTCJ598gl27dmHHjh1EP1xUSxi6yhYzMjICt9uN7u5uVFdX44UXXkB5eTkKCgpgsVgQCoUwOTmJW7du4bvvvsPly5fhcDjw3nvvYc2aNWqHrxuoICUIi0198cUX4cWmJiYmUFRUhKKiIlit1vCgDZIWmyIFKkiKpjB8G5KiLaggKZqCCpKiKaggKZqCCpKiKaggKZqCCpKiKaggKZqCCpKiKaggKZqCCpKiKaggKZqCCpKiKf4HocTq4awZPAgAAAAASUVORK5CYII=)
physics-General
physics-
The block of mass M moving on the frictionless horizontal surface collides with the spring of spring constant k and compresses it by length L. The maximum momentum of the block after collides is![](data:image/png;base64,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)
The block of mass M moving on the frictionless horizontal surface collides with the spring of spring constant k and compresses it by length L. The maximum momentum of the block after collides is![](data:image/png;base64,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)
physics-General
physics
The area covered by the curve of V-t graph and time axis is equal to magnitude of
The area covered by the curve of V-t graph and time axis is equal to magnitude of
physicsGeneral
physics-
In a children’s park, there is a slide which has a total length of 10 m and a height of 8.0 m. A vertical ladder is provided to reach the top. A boy weighing 200 N climbs up the ladder to the top of the slide and slides down to the ground. The average friction offered by the slide is three-tenth of his weight. The work done by the slide on the boy as he comes down is
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)
In a children’s park, there is a slide which has a total length of 10 m and a height of 8.0 m. A vertical ladder is provided to reach the top. A boy weighing 200 N climbs up the ladder to the top of the slide and slides down to the ground. The average friction offered by the slide is three-tenth of his weight. The work done by the slide on the boy as he comes down is
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)
physics-General
physics-
A mass ‘m’ moves with a velocity 'v’ and collides in elastically with another identical mass. After collision the Ist mass moves with velocity
in a direction perpendicular to the initial direction of motion. Find the speed of the 2nd mass after collision
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)
A mass ‘m’ moves with a velocity 'v’ and collides in elastically with another identical mass. After collision the Ist mass moves with velocity
in a direction perpendicular to the initial direction of motion. Find the speed of the 2nd mass after collision
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)
physics-General
physics-
A toy car of mass 5 kg moves up a ramp under the influence of force
plotted against displacement
. The maximum height attained is given by
![](data:image/png;base64,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)
A toy car of mass 5 kg moves up a ramp under the influence of force
plotted against displacement
. The maximum height attained is given by
![](data:image/png;base64,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)
physics-General
physics
In uniformly accelerated motion the slope of velocity - time graph gives ....
In uniformly accelerated motion the slope of velocity - time graph gives ....
physicsGeneral
physics
The graph of displacement (x)
time (t) for an object is given in the figure. In which part of the graph the acceleration of the particle is positive ?
![](data:image/png;base64,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)
The graph of displacement (x)
time (t) for an object is given in the figure. In which part of the graph the acceleration of the particle is positive ?
![](data:image/png;base64,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)
physicsGeneral
physics
In the above figure acceleration (a)
time (t) graph is given. Hence ![text V end text alpha horizontal ellipsis horizontal ellipsis](data:image/png;base64,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)
![](data:image/png;base64,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)
In the above figure acceleration (a)
time (t) graph is given. Hence ![text V end text alpha horizontal ellipsis horizontal ellipsis](data:image/png;base64,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)
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAS8AAACLCAYAAAAwJB+UAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAAFxEAABcRAcom8z8AADHXSURBVHhe7Z2Hd1RXsu7fX/HWW/e+d+fOnfGMPc45j7PBAWOc7Rnb4xzGaewxxkSTsQ0mZ2wyGIFQzkhq5ZwDCiCyCQaTwYCh3v7qnN29+/Tpo5YQKFDf4lsK3RIInfPrqtq1a/8vEnWpzh7dTft3bKEte47RodP2J3uBzp07165/++03OnPmDJ0+fZpOnTpFJ0+epBMnTtDx48fp6NGjdPjwYTp06BD98ssvtH//fvr5559p9+7dtGvXLtq+fTtt3bqVNm/eTC0tzdTY2Ej1dfVUWVlNBUXllO4rpri0fIpKyKEVMdm0dH0WLY7OoiXR2exl6nPwcvttWK8P46Dn+ZRz2MtjTedajoPzXJwfcHyB3ysStAsNFwWcaLrYcInlpIBXhnWpi8sCTnZzeQSusJzSniv9XmU6Fa6K0NV+r06zvCrINepzNfRjei2tyaijdVn1FONrpMS8jZRS1ExpJS20oWwT+SraKKdyCwm8PIQbFTfmr7/+yjevl04f2EY/VWVSUX4uZWQXUEF6MmUXVFHx1hN08Ff7ST1YTlC5GfByAgz/N4DYsWPHGGBHjhzxA+zAgQMMsL1799JPP/1EO3fupG3bttGWLW3U2tpKTU3NVFfXQOUVNZRXVEEbckspaUMRxabm09qkXPpRgWxVnI9WxPr80Oo6eFl2hRcDTOAV7IsHr9XpFsCiNtRRtAJYbE4DxSuAJRY0U2pRC2WUbKLM0s0CLy/tUVFDri+HaqqrOcIIr3N0pKWQKpZNpmWro2nx+nhKmDmUvvl2Lo1L2EFN+73B15Nlwuvs2bN+RxqFHTx40A+xffv2BUViW7ZsVRDbRI0bm6mmVkGsspYKS6sop7CcMnwllLihkGJS8ygqMZdW2gBrF16wG7zczM/3GbaiMbYCGBweaO4g81sBLNQ2zPxQM0HmAJpy5BCDFazac6RQc4WX0wGYBUNNQcq0K8Rsh8ArYB2BRW1QzlRRWGY9rc9uoLhcBbH8JkpWIBN4eai0pIQ+/eQTmj51GkcNuIHddZYOba6mmtjVlJFfRDllGyhnwb9pxJDx9NHCWqra1QtCrw7IhFm4SAwQ09EYQAaIIRrTkZgJsba2LdS6aRM1NTdTfX0jVVXXUrGCmK+gjNKyVTqZXsAAWxWfQysRicUBYj4FGQ0gD7tBK5zdIGa40yDTdsAsADIFLe0wIDOjs1C7wUzbgJfTEUVpClSekVkoxExHDDK2Ape2hlg6bEVjazJqOZVc72tQ0VijwMtLaamp1O/Bh+jvL75EOT6fZ/R1av922lWeTSUlpVRUmErFa0bT2DFT6JPZZVS5/bj9rL4hDa9wEIM1xPB/BoghndQQQySGmpiOxPDCsGMHamJbaDMgZqeTZSoSKyiupMz8MkrJKqZ4BbH1dkq5WoFsRawFnaXsLL/PH16wwMuyAlQ3wkt7pa6HKYAhnVyrIjGBVxghilgbFcXwuueuu2n2zJl8s7nrNzq9r4W25sZQYmwaJSQlUFniZJoybS79e24FVfdxeGlriLmllDoS0zUxM53UkRggpiOxlpZWlU42UQ1qYlW1VKQisVyVTm7IKaEklU6uT8njmtgKgEaBp2vgZVp9XwfIgupjXNTXDgMyhpkDaAna7dXHHCBzhVbA7uAybQOry+Fl2g1ehrk+pt0xeKEexjUx1MMUwGCBl4twE27cuJG+njCR7r37HvrzHy+jjz/4kLa0tdnPMIVUch/tKEulhKnzaFlsMZVsrqOfSufRwtnz6PN5lVSz3ate1nfkBjINMTOd9Crs79mzR0FM18TsdBKRmEonKzmdrCSfisRSVToZm1agojAFMRWFrVKpJCKx5YjGFHz8tTFXMNk2wRXuOWyfbSMSUwCzbELMCTIbZgwwB8QYZDoCcwDM6SCYKVh5RGPu4ApnG2IhIIPdQGbbFVzhHAZkZkTmGpkpYIWFGUBWLfByE0dda6LopedfoFtuuIl+/1+/oxeefY6KCgrp9Cln/8NZ5Z20MWURzXjzYxozdQ3FVORSWcIEmvDlcHr9q0RKrdlPx36znt2X5YSXGYk5a2Ju6aRusWCIBRX2t9Cm1k20samJauvqqbyyhgpKKilbQSzNV0yJGQUUoyKxqEQFsXirsG9FYepttJVWukLJBFe45/jtU44EXk6ACby6Hl6WBV4uws0zYdx4uu3mW+i6q6+hv/z5chrwyGP0w6Lvacf2HfazTB2iXcU/0urBb9DgT4bRyOlzaOHMofTFx5/Sm4OX0Iq87bTrlP3UPiwTXk6IOSMxt3TSCTGk6Xv2BBf2kU5uVOlkXX0DR2Il5SqdLCqjDF8RJaQX0LrkPG6v0NCx6mFOEBmOGF4wvq/TznRSp5QmwNxAZsDMTiOdDgWYCbHwIGt/ZVJbQSosvJw24eW0G7S0w8HLxUHwMi3wiki4kfLz8+ndt9+mq/9ypYLX1XT9NdfSX++8iz54/5+Ul5tnP9PUGTqxt5FafWspIWo9rUvMoty8VEpJTKYYdWFUtB2kQ5dA5OUmJ8icAEMkplsswhX2zdXJbdusSAyF/WasTjZY6WRhaQVl5ZdyYT82LZ8hhhVKFPaxQhmSTtrW7RfOz0dun3IgImu/JuYGMhtipsOBzK0eFmQvoLkBTFsBys1u8ApnV3gFvCrILvBiK1iFRGGmFbhsC7wc2rSplb6eNIkevO9+uvLyK+iGa66jG669jt+/WwFs/tx5fJNZtS5TKn08q9Kh4yfp6PHTdPbcGXWjnlE352/qprWfcgnKhJcbxGAznfQq7If2iQXSSauwX6MgVkk5hWVc2E/OLOSu/bVJFsAYNjqdtKOtLoeXBliH4eWAmMArjAVeYZWXl0v/eOUVuvmGG+nG667nt7fedDNdc+VVdNP1N9CIocOosaFB3XS9aO9PD5SGGN6a0Vi4wr7b6mQQxLhPrIka1O+mtraWyiuqKa8Iq5PFlJBhtVdwBKah4wYv+3NOQC1Hg6xh8+uDn4/HLPsjMLYCmGuLhdNhojDYD7Fw9TEFLq9WC9MRAw12QsxpF4iZtsHl7kBKGeoqv90hViXw0sKNdEjdIMlJSfTlF1/Q8KFD6aMPPqQH7r2PBj4+gD5UKeNn//qUvv36G8rMyFA31EH7K0WdkTMSc6aUzkjMbHZ1a7HQfWJtmzdRa6u1dxLpZFFZFflUOpmaXaSiMKsmxumkApnu2mdA2UBy1sdWxOXQmuRCWptaTGuSCvhjfsyElzZ/jY+NJlrLJsSUNajCgkyBStsFYoH2CifENLzU+0EA0w6FVwBgXhBTgPKEl+mOwstpJ7ys993ABQu8bOHG2btnD5WUlFB2Vha1trTQ+uhoenLAE/TOm29RYkIilZaUki/bR8VFRfTLLwfsrxR1Rm7w0gBzg5hXs6sJMSsSa+NIbKNusaiqo+Lyasrl/ZNIJxXI7GbXlfHYO4k2C7zNUXDKpVUJebQ6MZ8NAM1fmUTfzl1NY6cupqkL19HS6Cx+bqfg1W4Upv7OTsHLdp+BV8Bu4IIFXrZwE/2qbhKkKLhB8LEvO5ueGvgkvf/Oe7xVyHz1P336Elg+vIhywkxDzKuwr9NJs8UiGGJWOtnc3EINjRupuraeShTEsHcy3Vei0slCWpeSR2sScqxN4AmAWQBeiLJmLY6lDwZPpPsHvEJ3PPQcvf/5BFqydoOKwgpD4eUHmGmfcqAm5jfgpwBmtVqEg5hhN5DFK4BpuwHNFWKmFbS0DZChY187BGJebg9kQXaDl9M2vEKs4KUs8PIQ4DXoiYH07lvvUGlpKd9UkQgpTUF+AZWXl9NBdWNF+nWXskx4mRDTIDMh5qyJea1O7lAQ27Z1K7W1YRRPC69OVlTXcce+DxvAczDJQqWFCdm0eE0STV+0liOswWNm0AdDJtEr7w2lOx54ln5/5d10872D6ONhk2lJdCb9qFLIyOAFO8DF8PKFgRc+hk14qc97wsuMyLoaXvrzNqC87Aov833TbrByWuDVaWVlZvrhVVxczDdPJKqpqaFPP/kXfTF4MBUWFPCNJvKWG7y0zUjMTCfDRWJmTQwd+xjHs2PHDv88sabmVgUxOxIrq6KU9GxatORHGvv1DPrnZ1/R0y9/QHc99Cxdc1t/uvLmh+mya+6j2xXAPvxiEs1ZFq9SPmwOB4RsOLULL5+7OfpyppLaJtDg0AiMoaXtBq8ge8PLTCVNB+AVQRQWBC/TbvBSdgVWqAVenZATXrhhIhGitGcGPUX3/fUemjtnDt9Aos7LDWRukZhbYV83u+7evUdFYhpi21Qk1saRWGVlFUVFRdOIkWPpldfepSee+hvd+/AguvGOfnTF9X+ly6+/h26483F68fXP6Lv5a6x0Uq842vavVnbI+B6Wg+ti7YHMiMhc+sQCEPOAWQjELJC52R1ephWcIrUbwEy7gAtGa4WOwkwLvDzUGXjhBkMj65OPD6A//v5/6OOPPqI29Wov6ryc8NIAQxTmVtjXKSUghmjMGsWjO/atSAx1sW3btvKqJBZh5s1bQG+9/R71f+QJeqjfE/RAvyfpjr/2p1vu6k9PvfQuffXNfPohKs0u4gd37gu8IrQbsEw7oKUt8OqEOgMv3Cg/rlpNjzzcj/7jf/8feumFF6m6qsp+VNQZmfAyrUHmFo3p1UkzEtOFfWdKieJ+Xl4ejRo5ip4e9DQ9NegZGjToWerXfyA98tgz9PmwCbQ8Oo3WJOVZ88QAHyNN7By8AvavSgZBzLQTYE4HABaUSrIVwLig7wIx11QS7gi8TLsAy3R7qaQDWtoWvEwLvNpVR+GFG6q8rIxGDBvGY3R+95//jwYOeIKSEhO5JiPqGjkhBpvRmIZYuBYLQOzA/gP8MeDWUF9P3y9aRB9/+BH97cWX6EX1gvPCcy/QSy++TB9+9BktWLySMnJLKSW7lEfxBEZUY6aYbolwB1Pk9rlYF/fhCCe7Ojv1/Ta79V2iMleIwTbIFMDc7A4x0za4nG4XZKad8LIs8PJQR+GFm2XZkqUKWAO4M//KP19BDz3wIE2aOJHTE1HXyA1e2uEgZtbE8BYfA2IYfbRw/gJ6/933uAl5/LhxNPTLL+mtN95UMPuYFi78nny5+TwYESOqs/JKKCWriOKxfxJDEQEwgMZOI51NrpFbfY8QC7wEXp1UR+GFJfkRw4bzXshrr7qa395+y62cOsbFxvKNJbqwcgOZhpiZUiLqwjaiRQsW0icffUxDBn/B6X5hUSHFxcXS2NFjeLII2mV4hbIJkyzqqbyiKrDtKL2QO/YxT8ws4us08nzTSVeQGQ4CWawCGGyCzLQb0GyYWS7yOwhq3LmvQKUh5nSHYGaDyxVgTtsQ88NM4NUhdQRehw8d5q1FGBl9+WV/YnhhTyRG6tx68y28rQi1FtGFlQkvE2Cwfhz1ruLiIlowb74C10c0fOgw3kGBFcj9Bw7wHsmoNWto1cqVnFJi58VWnHjU0mJvO6qzth0VWM2uOChEj6e2BiNadbHlKgpjeCEa63REpu2zbcLLURcLicYiAZkClz8qc4OXDTA3cMEh8HLaCS/jfVdoaTvhFWqBl4c6Aq+62joaNWIkPdqvP91x622cNmIj9zV/uZJuuu563huZnZXNKYvowskNXlqIvNDrlblhA82eOYtGDR9BE8ePp7TUNIYWHj+qfj9YlcSJUahf4vmAne4T28RRWAvVNTRSVU09lVbUUH5JJY/jSVXpJO+fTMqj1fa2o74BL2W3VLLD8DLtBizTClACr86rI/DKzMikt998i15+6W/02iuv0r13/5UnUdypQPbsU0/TB+/9k+bNmcvnFoq6R5gGsmL5cvpu8hT6euIkWrJ4CQMK7RS6RqbbLKxO/T0cLcP+lUmj2RV9YqiZYbprWWU15RVXcMd+4oYiik7JtzaA67MnFXgwUywolewU1HyG3UBmQ8wVZNqAmAkwN5BZ7hDIXGAWaue2IxtkTrcHM2WBl4cigRde3ZGS1FTX0OpVqyh2fQyvXD3+6GMq+rqJC8Erl6+ghLg4Sk1J4RtAdHF17NhRqigvp/lz59KYr0arqGs2JScm8TBDAAsCvHQ9jG0X+XWfmG52NTv2t2/byucatLa08t7JShWJ+TeAK4jxBvD0AopGXUxBbCUf2ZbFwPIX9zsML9Mu8IpR0MLHsCu4tJ0RmAkv9X4IvIz3efO3tgKSwKvnKVJ44QbABY+3+LikuISeUdHW/ffcR3Nnz6E9u/fw54+rlETfLKILL6SMSNOLiwpp6uTJKq0fQYu//4HKSsvo4C8H+XcC4a3Z7ArrFUpns6veemQ2u6Jjf9PmNmqyN4DX1Fpz9guLKyk7T6eTVk0MM/b1kW2di7xMB6KwoCkW2mYU5hqJhUklg+Bl2g1ejijMFVihDoaXC8QEXuenSNNG5ypiVWUlp4oP3Hs/R2G48EUXXwBMVuYGlSZO5t67lSplxOTVY0eD6474/enCvtlioSMxABA290+akZjedoSO/c3YdtRqzdkHxEorEImV8yiepMxCHlG9NhmFfQUyu08MIPKnk+cNtUA6GQwyA2YhEGsPZAXuEHPaCTKng+DlVQ/TVtAKC7MygZeXOlLzMlWinou9jRx5yd7Giy5ES6hFJcTF06QJE1Sq+BWti4py3aaFqAvWANMQ0yDTEDMjMQ2xQDqpI7FdtJMhto3TSRwW0tCw0V/YLyipoGx7MGJ8mp1OqkgM0Ak67Uj5wsALFnhdEhJ49S4BPBhBhGGRSxcvpinfTqZvJk7iHjukenjcKQ0vN+P5ZiSmO/bd0klnTczaO7lNAdOqiekTjyqqLIhlqUgsRUViMal5XNTnTn2kkwpA518Ls1JJDTEGmR9eNsD8PWFuBsC0LYitYIBpe4FMgSto25EBL8PBK5LabgDTVsBygEzg5SGBV+8SmoTXrV1L302ZwuBasXQ5z1WL9P/fDWA6AguXTmqImXsnATH/TDEMRkQktsU6QBengGMUTykK+4XW6mTShiKKTc1XkVgurUlEXQww02mkdQp4u0DTj5v2QyzYVjRmp5BBVuAKgZqOxgIgC7ICWMBOkCkHRWOmFcQUsEKjsUhgZkFM4OUhgVfv0GkFFAACq704e+CbSZMoIT6emhUoAJtI5QYv2JlOAmKwMxIz00lzpthPu1UktktFYtu302YViaHFgie71jRQWUUtFZZgzn4Zpat0MiGjgKe7rk6wCvsA15LozsIL7m54wQKviy6BV88XINLc1ETLly7l1UQU531ZWbT/5/0cLXWlTJhpiJmRGCCmC/s6GjMhhkhsxw5rFA+6+VtbW3nbEU48qkQ6WVxBmbkqElPpZLRKJ39MtM+cVBBycxCkTGi1Z4ZYIKVkq3QyeP9keyBzAZoCWHBK6UwrFbSC0koFLdMKWO42J7sGLPDykMCrZwtQwNkCPyxaREOHDKHpU6dy0ynqXhdCzmhMR2K6sI9ITBf2zdXJoEhMXQu7VSTG6aSKxLbiAN3NOCwEkVgdz9jndFIfFMInHql00t/sCvi4wEvbhFQ483N1JGbCy3JQNBYEL9MaZAa8lEPh5QSY7ZBITNkVXNoCrw5J4NUzhSgHJ2anp6XTnFmzaeK4cfz/XNaBcwY6IxNepvF3utXE3NPJwDyxwGEh1mTXZk4n0WKh0klMsSip5HQyDauT6TgF3No7ieK+nmQRgJFtE1Lh7H++wKvPSuDV84RIp7Kighb/8ANNnTKFpn83ldavW8cp2EkFjO6QBpiOxnQk5oRYRKuTbVvUz6IisY3NVKsgVo4WCzudTLYL+2uTcOJRoE+MD8NVMAqKxrzshxesIzDDBsj8qaR/qqsTaDbEXEDG5laL4LpYoDamgBW0MmlaAcslnTRrYQIvDwm8epZQQyrIz6eZ06fzyBo0AOf4fHxCUHfKGYVpgHnVxNwgxukknwJur062tFKjisR4dRIbwIsquU8sLRungBfyYMQ1qIvZ8EJ/2BK7TyykwB8WXm42YaYAprxcgdLfahEEL9MmyGwDXn6QBeBl1ccUpIJsRmQAl/m+ZfOkI4GXhwRePUOAAcCFw4C/njiRRo8axSuLdXV1CgjdE22ZcsLLGYWZEPNqdvWvTjoiMXTso8Witg7jeGqouKyScgqwOlnMeyex7Wg10knAxgYUw8sEkgaX8/OudoGXBhfDK5J0UtsJr4CD0khtP7BMC7w6LIFX9wsQwE2clJTI4Ppq5EhOE3FzAwQ9VSbMADATYs4WC51OhqxO/mTVxCyIWaeAY3Wytl6lk1W1VFBSSZl5gQ3giMR4kgVAhlVKc4pFh+BlOgAwM50M1MRMu0CMQWYAzA8y2ANmHi0W+rg2gZeHBF7dK9zI2Ce6NiqKxo0dSxPGj6fEhAS+oXu6vKIxZzqpm11dVyeNwj7SY04nEYkZECsstSIxTHdNylQQ4zYLe2XSbnLldLJT8IJtgHU5vLQFXl2uzsIL21MGPj6A7r7jLpo1cyZffKLIhSgFwMf///x582jKt9/S9KnTKCM9g6OU3iATXqZNiOHnNCMxs2PfLRLbs8c6BRwtFoAYBiO2tDRTQyMGI9ZSSXkV5RSW8d5JbACP4qK+FYExhDoNL9hIJRlepk2QmQBzQswBshB4mTZBFgywlbYFXh7qLLyKCgtpwCOP0h233EYzpk8XeHVQmLOFoYHolMeKIrb8IALDjdzbZUIs0sK+hhjqYsEtFttp21arT6xJ/Z/V1Tf600lMdk3JKqZ4ZzppF/f9IGsPaK6PGyBjq2jMXxezQeYHmhfMDJA5HBZkbAUxZYGXhzoLL8w5Hzl8BJ9Gg20qSANE7Qs3LubEow0CTafTvvuONqSn8+RS3Ox9QeGiMDMS0xCDzXTSDWK7dql0coeKxDCietNm2tjUrNLJRqpQECsusyKxjBxrzj6mWFiF/Wyerw8oRbztKOSxSOHlBjAbYi7Q0hZ4nac6Cy9cZBUVFVReVk4/qTAfr6yi8MKNfOL4CT6cd+H8+Qr8w2n2rFlcO8SN21fAFU4mzNqLxJy9YlY6afeKYRyPPaIa0Ws95uxX1/JhIdn5ZZSSWUQxPBQxh35U6aRusfAX9bVNWGl4mTafyzYgpgAWat0r5gKwICtwaYeAzAmwIoGXlzoLL1yEuPhwEeKiFHkLdZxcXw7NUcD68osvaN7cuXxqD6KOS0EaXrCOwpyRmLntSNfF8CLp7BXDTDFEYlu3WJFYkx2JlVfqdNLq2E9U6WQM5uw7prsuVTBCNNa5VgszGrNtQCw4KnOCzAEzE15+gAVHYgIvD3UWXqLIdPjwEYZUXGwczZg2nQ/FWPz991RXW2s/49KQCS/TOqV0FvbNSAw200lAjNPJnbqwv5VaW+0TjxTEqnj/ZBXlFpRThn1sW3SKPWNfRWLL7OK+wKuXS+B14YT/S8zamjt7Nk3+5ltOE1OSU3icMm5UkQU1AExDzEwn3XrFGGIqEsPq5L69NsTs1cmtXNi3VifreYqFtXcS6SRPdrUPCgnME0M05ijuh8DKzS4A0w4HshCIhQcZw8yGmMDLQwKvC6N96ubC2YmA1tjRo2nFsuVc30L9RhRQuChM18VMiJk1MQtiwZEYaq87d1pz9jfxFAuVTtZZ6aTVJ2ZFYkkqEsN0V0yxwDgeAAlRGPeJhYCqo8b3U/DyF/e1FaxcIzFtJ7wsC7w8JPDqWp0+fYpvpuTkZBo3Zgw7Jjqamy5lUSNUJrxMiGmbxX23mpgu7Af6xKzCPs6e5HTSrolxYd8/jkdBLKfYv+1olR5RrcDDHfu6Z6xTDgevcGmktksaqSzw8pDAq+uEGwyQWr9+PY0fO5bGKnAlJyXxjSXgilxOkLkV9nUkFpRO2s2uurCPdNI6BRzNrpv8q5MVWJ1UkRgK+ynZxRSPDeD2JAsMR7SK+51JJ7XtFNIAWSCV1CBzWAPMYYGXhwReXaM96lW/qKiI08NxY8ZyxzzSxn2SJnZYJrw0wHQU5ozEzHRS94mFrk5ax7ahlw4d+zh7sk5BrLK6LnCALg9GtNNJe7orth1hPHXn00knvABEBS8+NBfQMkAm8Oq4BF7nJ9xE2I+HCAvbpHAoxry587hQ/+tJ+b/sjJzw0tYQi6TFQqeTOhpDShmA2DYu7KNZuHGjNd21tKJKQayM0nzWUERrioUVgbmDKRLr6Ms04GU7BF6mBV7tSuB1fqqvq+MRzRMnTOAZXInx8bSxsZEjAVHXygkxMwpzRmJOiAVFYjhAV73gbFeRGM65xHRXpJOVKp0sLKsiX0G5gpjVYhGTWmAdoGsX93kkjwKTv2vfK6V0fTwYZNp+iDlgJvDykMCrc8LNUV9fT/PnzuWmUzSf5ufm8qu76MLIjMI0xHQUZrZZeNXEQlYng9LJZpVO6gN0qykf0115HA8glm+1WGATuAKPwKsHSODVMeEmwc2AtofZKk0cOWwYLVywgGqqq/mmwU0lunjSEDNBBoiZ6SQAFtRiYUDMWROz+sTsdLK23mp2LbQisfh07J1UEMMkC2MDeMi2Izebz/E7GGSBlckAzAReHhJ4RS7cIDjiPj0tjU/xwcZqbLDGAL3umi1/qcstEgsHMVgX9t3SSYyo1n1i1mEhrfbqZB0VlVVTToF1gC4GI8am6emuxrYj2yHggjWw3B6DFcD8tTDDAi8PCbwi0wF1kVeUlVHUmjU09bvvaPK339LKFSuoRaUaou6TCS/T4SIxr3SSC/uIxBTEduzcyYV9vTppHaBrz9nnw0KsZleesa8isaCzJ13hZNvtMVjg1XEJvLyFGwEXOaKtqZOn0ORvvqFFCxbyoRjYnoKbQ9TzFA5iXoV9s1dMr05ipthWe0R1CyKxxiaqVBBDi4W/sJ9RxDUxRGIo7PPZk0afWNhozOmgNNKywMtDAi9v7dy1i8cyTxg3jsaPGctDA2ura+jgLwftZ4h6ojS8NMDcIIZr3YSYTin9LRYqndQQwwG6mLO/eXMbNXE6uZH7xEpUOplXaB/bxulkPkWh0dWOxNAnttg+7SgAKdsmuMzPGxZ4eUjg5S68OqOIG71uHR+IMWniREpJTuYl9nPqRhD1bJnwMiGma2IaZGYkpov7OhIL1MR+pj17nH1iViSGY9tq+Ng2BbEi1MRKKCGjwD/FwuoTg+2U0gCTwOs8JfAKFV6J0b+Fo8dwBBlO9MGRZLiocdGLeqc0wEzj9+kViZkd+3t5igW2HVkQ0ycecWG/EZGYSidVJOYrLKd0BbEku7DPp4BzNBZYoQwBl8Cr4xJ4BQujVbIUqNB4iv2JaIfAIbC4iEW9X85oDDYjMV3cD47EALFAJKZrYugVw+okamIo7ANiXNhXkVgZTgEvqeADdPVhIVzYRyRmbzsKOjg3DMS6FF74YfuSBF6W8MqLNoj10dG8mojZ8suWLOGxzRJt9W1piIWLxMxeMaSTqIcBZBpmaLOwDgvZxtfQ5k2t9tmT9VReiVPAKyjdV0Jx6YW8+RvtFYAYR2H2BIugaKyr4YUfBj8EfrC+BDCBl3XxNjY08qZqnOYzZ/Zs3lSNo7dQDxH1bWl4mQAzozBnTUxHXoCXhpnVK6bPnrRXJ1utFosqTietbUeAWFJmIcWpSGwd6mL2JnCujSlwcSTWFfDCD7Ft6zZOG+JiY6mkpIR/CIFX39FBdQFWlJfT/Lnz+NDXpSraKisr474u0aUhDS79vq6HAWDm6iSM+x+1LlwzOLu0traW61+AGMAGoO3di0hsl79jv7lZpZPGtiOkk1l5JZSSpdLJ9DzCjH2ceMTbjgxwIRrrELxOnznNhVnMAsKIk7mz59C/Pv6EPvnoIwZYX0sh8nJz6amBT9L777zHpwFdKsIFuV+9gubl5PCG6nGjR9OPq1dztCUShROghugKfX/o91uyeDFlZ2fTRpUmAmKogyEKs1Yp9/EKJWCHdJJPAedtR3VUim1HRSoSyy2mRHvvZBRSSvSJ2V37cMTwAlWrq6tpxfIV9NXIUfTm629QvwcfYg/5fLCKTIrsZ/YdIaoEvP757vv8s18Kwito88YmSopPoKmTJ9OYr76i6LVrORUQidrTsePHqKSomE84x9mlU6d8R4sWLqToddFUUFDA28UAr0MqCEJKaRX2rT6xtjZEYphigUjMmieWZ28A5zn73GYRmGLhCS98U0RUSxYv4WPXhw0dSs8/8yzdcettdPVfrqQ///Eyuv2WW+ntN97kk6FXr1rNr9BrVv/Yq42f4Uf1s2BM8cMPPEhPPzmIvp70Na1U4ObHXL4mEqO9AE5KTOTNy5UqmisrLe1Wl6s0EKdR48QetEAUqgsM9a3x6mf/7JNPaMSwYdx8isd7wr9X3PNcWlJCpeotSkdFhQoysXF8PsGQz7+gLwcrfzGExo4ZS/PmzKW1UWu5sTkjI4Nqa2o4+gqsTlrbjrhPTEViDegTq6unssoaKrRXJ5ORTvLZk+1MlcA/6o3XX6f777mX+j/cj+656266+YYb6bqrrmZff821dOtNN/Pjjz/6KD054AmuEeFtr7b6GQYNHEj9H3qYQX33HXfSI+rnH/j4AH7M9Wsi8IDHHqcBjz5G773zDk2fNo0PWMW4mG7x7NnqYprDxqBAHKuP7T2YcvqdirjwFh/j/VkzZvB4G5z04/q9xJe8cfoTrqPZM2fRtKlTacL48ZyhIfoaPnQYe9SIkTxJd8zo0fSturbSUlMZWHplUnfsm31irXZhHy0WqIlhsmsGJrtmtXNiNr4JNtviAsZcpmeeeopuuv4GulxFXFddfgVdqwB2522308t/+zufAoMfYtGCBVwL680GVJb+sJjT4QfuvY+eUNBCBDJrxkx+DDe829e1Z/2LXrVyJa/Y5eflkS87u1ucm5PDUVa+So2xiRqnVKN2OWnCBIqJXscpM4rzeAHD+27fQyzWxn5W/TY2JoYBNmrkSAYWw+vLYTR+3Dg+UBhMQV2ssaHBSiEPOfZOYoqFgphOJ3Uk1rjR6tgvq6xWkVhVZDUv1LvwF61Rf+lXo0bRG6+9xlEIQHbbTbfQvz7+mP/R6L49e/Y3OvXrr73aeuEhPTWNI6a333yL8vJy6YjdRc6rKy5fF7HV16Mozqs1F9n6Z8PKERZfmpubOZXFiw8uuA0qnN+hLhisrP5mLo2LxR7Wq4/Hjh3l1UaUkYarF3ykj1itXrViJaWmpHDtGL1fYAquMTBDzxMLgZgdiaHZlfvEtrTRJgUxLADU1zdGXrDHRYy/ZPdPu9WrcSl9v3ARvf7qa/Rov/4qDXqXQ0D84/uSAGSkwe+9/Y6KQkr9N35fEJauq6qqaMWyZXySD9JY1OFwMfWln1N0cYX2GqzSI42c9t1Uil0fQ5XlFTyZFfwAsMAJ3W6BjwEy9IlpkLlGYjxPbCdtt+eJofAfMbxM4VV7x/YdKkz00bKlSxVlZ3AYiH9AXxL27Ok+LxQjES31BeGXjxcbLMIgTfx+4UJ+tQTQRKLzESCFF0GkkFgM2q6i+OMKSk6ZDa/IRAAxNLw6O/bdI7GdtGPH9s7ByxT+svq6emqob2CC9iX1tSZVXBRYUUTNbQoK8TNn0tqoKGpWYbhI1CGdO6sIpOBz9hypP9anVFCD/kDsgQV4dHOrm/AYbEJMd+17RWKBya67zx9ekO6uxT+kL6kvwQu/IxTnMaIZ87ewubqosJALo30lohRdJClo0ZH9dOyX/bTv5Bk6btz2uJZwrbUnDS8NMA0x/fXhIjG9MolIrEvg1VfVV+CFVyusbH779dc0fOhQWrViBUdgR9UFIbp0BBDgpt//8/7zuJYVaE4coP31ldRU3UBNB09RZ2aKaHCZ72uAOSMxvX8SEDML+wIvD/V2eOHfixpBamoqb6rG/K0olSZi+Vl06Qnwam1ppeLCIj7RCekXgNChyPvcSTq5r4lqk+IoPW4DFWw9QLtOKeh0wZZmZxSmAeaMxJBO4t8t8PJQb4bXieMnqK62jrf2fD1hIjcGxsfF8QWLC0N0aWpz6yZavXIV9yxipwgWpXBQCiKaiHT2EB3eWkaFUSspauk6Silvpsb9x+mI4t/58ktHYM5ITEPMGYkJvDzUW+GF5mI0wf6w6HvunMe2DERfWHIW9T7hRka0gVU29FvW1NRQnUr7O+oG9bXZmVm875C37KgXNOyeWLtmDWVlZfJWH7TPNDY2csQOQODvDtLZo3RkZw2VxqyhmFWxlFHTRi0HT9KxM10LL/NjM53UkRgs8PJQb4MXXqGwVI0OZhTl0Wezbu06vmhxIYp6p3DzYnxMQnw890/haDn05XXUaBzFMEm0x2DfLqbh4jqZOH48f26iMsZ6Y+tYeno6vwjimgrWGfr14FaqT0mgDfGZVLLrCO0FZOxHL4Q0wMxIDBZ4eai3wQstDyuXL+dDMbClK1P9+7Fs3ZvSXVGoEG1gmxagMmL4cPri889p2JdfdsrYBjZ+7BiGFcCFcUejRozgx4ao7/vvTz/lrXCY3YZoLfTaOUunD++gxrQkykr0UfneE3TAfuRCSUdgZiQGC7w81FvgdfjQIY6uvl+0iC9CpAJog8CqjKj3C1EGRidje836detoXVQUn9zUUcdER/NKM3r8ACy8yCH6wlhvXDuYfIK+PzwXTaaY3xba9vAbnTq0TUVeiZSZmEMVP/9Kv9iPXCgJvDqhng4v/ALRFIgN1gsXLOALEuDCSpJEW31HuGEBEb3SduzoUettB43WmKaNGxlUoxW40DqDXRZIR6urqmnvnr3W91ZGmQERH/7uYCl4Hd5GDSnxlBGbToU7DtGe3xRQLmTe6JCGmMDLQz0ZXsj9mxobKS4mhk/xQR0EnfMN9fV0UsAlchFe7LARHzXRZUuW8kpjvbpesBBw/FikW/vO0ZmjO6k1Yy0lL19K0TnVVLbjMB1Ul9zFblEXeHmop8Lr0MGDVFFWRkt++IGmfPMNv3om24e+ikThpKeIoH6GQ1XQtd4Znf31F9pX56OS1BhK9pVT6eZfaP9JgVePUk+EF8L5rA0bOOTHKhFqGEgTsW3irIrGRKJwQhqoU8/QWlYHdO40nTn2Mx36+Sfa/fMh+uXYGTqtyHURM0eWwMtDPQ1e2Jiak5PDK0Wob+EcxdaWFvr1pBxBJrr0JPDyUE+BF/ZxoTHxB5UmDv78cx6tGx8fL4diiC5pCbw81BPgBUChwPrh+/+kB+67jw8DWbVyFUdhoStBItGlI4GXh7obXoUFhTzl9Nmnn+HDQF59+RWaN3sOtW1us58hEl26Enh5qLvghaIqplHibMzrrr6GBjz2GE0YN55PIT55QupbIhEk8PJQd8DrzJnfKDEhkf7+4kt0xWV/oicee5zPUcTBA+e1QiQS9TEJvDx0seGFed/r10Xz3/mH3/03vfDss4SThrH9RyQSBUvg5aGLBS9836bGJj7b8amBT9KVl19BLz73PO8vu1ipqkjU2yTw8tDFgBcaBrG37LNPPqXHH3mUHu3fn4Z++SUf9CrgEonCS+Dloa6AF/YgYqPrSZd5WjiCDAMDn3/2Obr37nvotVde5ROF29o2288QiUThJPDyUFfAC/vJMKGytqbG//Xoz8KpPePGjqVbbryZ7rztdhr878/5kFucjCL9WyJR+xJ4eagr4IVplDOmTeNBcoi08D2qq6p4BO/VV15F119zLU2aMJEqKypkNVEk6oAEXh46X3gBRjhy7I1X/8EF+AXz51NSUhKNGjmSbrv5Frrr9jt4MBwO0BSJRB2TwMtD5wuvTZs20cwZM+jRfv3p5htupEce7sff78H776enBw2iFcuX82k+IpGo4xJ4eeh84IXBbwlx8fTSCy9wlHWNShH/9Ic/0v/87r/puaef4RXGE8cjHQAnEomcEnh5qLPwOnvuHG3Z3EZjR4+hW268icF143XXc//WZf/zB3rvnXepsrKSjh6VE6tFos5K4OWhzsILR6ovX7qMnnvmWd6beO1VV9NN19/Ab6+64i/00AMP8obrkpJiHhAnEok6LoGXhzoDr1PqOWgwfeMfr9EVf76cLr/sT3Szir4wFeLF55/nqOvzzz6jGdNnUFVVpcu5eCKRKBIJvDzUUXihIRVtEBPHjefiPGpd2Fj9zltv0/ix42j5smXky/ZRa2sLDxgUcIlEnZfAy0MdhdfRo0f5KHWevfX3l2nWzJn8PSrKK6iluYVbIo4fO2Y/WyQSnY8EXh7qKLywT3Hp4iU0ZPAXfHintEGIRBdOAi8PdRReaI/AKT779u6VCEskusASeHmoo/ASiUQXTwIvDwm8RKKeK4GXhwReIlHPlcDLQwIvkajnSuDlIYGXSNRzJfDykMBLJOq5Enh5SOAlEvVcCbw8hNN7AK/33n6XysvLuY9LJBL1DAm8bGFuvHOvIWbK4yiy9995jyorKu3PikSiniCBly3AC13x2INYXlrGb2PWr6eBjw+gv734Eq35cQ1VV1dTfV09NTc18YlAIpGo+yTwMnTkyBFKjE+gYUO+pMnffEtjvhpNDz/wID14/wM8ymbkiJE0fdo0Sk5Kpv0//2x/lUgk6g4JvAydPnWKMtIz6K3X31AR1xN8CCyOJbv9llvpjltvo/vvuVcBbASf9CMjnEWi7pXAy6HW1laaMH4CPXDf/XTV5Vfw+GYcnnHNX66kO2+/nY8ww/QIkUjUvRJ4OXRYpY6pqan06suv8MhmnKt4w7XXcQT2xmuvUZp6TCQSdb8EXg7h8Izt27fTqOEj6SYVcWEG/dUq6nqs/yM0a8YM2rJli/1MkUjUnRJ4uejkyZO0dMkSGjjgCT444w+/+z09+9TTlJmRwY+JRKLul8DLRWhGRUf90CFD6O477qT/+s//S/9QaWRjQ4P9DJFI1N0SeLkIPV8HDhygFcuWUb8HH+Ka1+hRo+inXbvsZ4hEou6WwMtDKcnJfJjGoIEDKS42lo4cPmw/IhKJulsCLw9tyMigxx95hD7+8EPa2NjIR5uJRKKeIYGXh1Djmj1rFkddhyXqEol6lAReHjp16hQfDovzGGWihEjUsyTwEolEvVICL5FI1Csl8BKJRL1SAi+RSNQrJfASiUS9UgIvkUjUKyXwEolEvVICL5FI1AtF9P8BJEYgmkRJnnMAAAAASUVORK5CYII=)
physicsGeneral