Physics
General
Easy
Question
A block B. placed on a horizontal surface is pulled with initial velocity V. If the coefficient of kinetic friction between surface and block is µ . than after bons much time, block will come to rest ?
The correct answer is: ![v over g](data:image/png;base64,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)
Related Questions to study
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An impulsive force of 100 N acts on a body for 1 sec What is the change in its linear momentum ?
An impulsive force of 100 N acts on a body for 1 sec What is the change in its linear momentum ?
physicsGeneral
maths-
If
defined by ![f left parenthesis x right parenthesis equals fraction numerator e to the power of x squared end exponent minus e to the power of negative x squared end exponent over denominator e to the power of x squared end exponent plus e to the power of negative x squared end exponent end fraction text , then end text f text is end text](data:image/png;base64,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)
If
defined by ![f left parenthesis x right parenthesis equals fraction numerator e to the power of x squared end exponent minus e to the power of negative x squared end exponent over denominator e to the power of x squared end exponent plus e to the power of negative x squared end exponent end fraction text , then end text f text is end text](data:image/png;base64,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)
maths-General
maths-
is a function defined by ![f left parenthesis x right parenthesis equals fraction numerator e to the power of ∣ x end exponent minus e to the power of negative x end exponent over denominator e to the power of x plus e to the power of negative x end exponent end fraction. text Then end text f stack stack text is end text with _ below with _ below](data:image/png;base64,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)
is a function defined by ![f left parenthesis x right parenthesis equals fraction numerator e to the power of ∣ x end exponent minus e to the power of negative x end exponent over denominator e to the power of x plus e to the power of negative x end exponent end fraction. text Then end text f stack stack text is end text with _ below with _ below](data:image/png;base64,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)
maths-General
physics
The force acting on a body whose linear momentum changes by 20 kgms-1 in 10sec is
The force acting on a body whose linear momentum changes by 20 kgms-1 in 10sec is
physicsGeneral
physics
Average force exerted by the bat is
Average force exerted by the bat is
physicsGeneral
physics
A cricket ball of mass 150 g. is moving with a velocity of 12m/s and is hit by a bat so that the ball is turned back with a velocity of 20 m/s If duration of contact between the ball and the bat is 0.01sec The impulse of the force is
A cricket ball of mass 150 g. is moving with a velocity of 12m/s and is hit by a bat so that the ball is turned back with a velocity of 20 m/s If duration of contact between the ball and the bat is 0.01sec The impulse of the force is
physicsGeneral
physics
Assertion : It is difficult to move bike with its breaks on.
Reason : Rolling friction is converted into sliding friction, which is comparatively larger.
Assertion : It is difficult to move bike with its breaks on.
Reason : Rolling friction is converted into sliding friction, which is comparatively larger.
physicsGeneral
physics
Assertion : A body falling freely under gravity becomes weightless.
Reason:![straight R equals straight m left parenthesis straight g minus straight a right parenthesis equals straight m left parenthesis straight g minus straight g right parenthesis equals 0](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAMIAAAARCAYAAACPS3OwAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAOJ5y/mQAAAt5JREFUeNrtWj1IXEEQfkg4rjgCEkRCuhQiFiKEEIKksDmCiIWQwkKCCBKCBPuQQmzESiwECSGVpJEUVkKQEEREEItgEQKWIUgghcVxHAdmBr7DzWPfe7t3jjcr+8EHd3N3b+Z9c/N29idJwsRr4orCuFYQW9Tt9mmnDsPEQ8XxHSDGqFug2l2Cf4j7xM/EPqVijShO5iPoF3XTpd1d4gbxCNyEzVoIJmZQDJowgoRqxz6SGnXTo90ecdJ4PwFbYSH0EOvKRFolLgSQzDfKevFQdJPS7gVx3WJfI067FEJNqAVjjBOPUWzbxArsYxi66niKDRi/3SU+s1zzqXGtM+Ks5X6uC5OIr0H8SRzNiGcv6taWLwntWKeqxT6Gz3ILoVoQ0KUDs343T/xKHILtJSp2PGWfgXgtXBBLqesNQthWoh8StwQTumXEx8k8tXynhFijbv6+JLT7a7n/lq/zrEIoYbjgwJ8IjQjbGHFM1DGBSdubGa9b+Ig/SFFhS6AHI4MNjahb276uW7tmzmeNomp7Lrg6Vfa0590Qr3L1eia03SdL0sVkhqybr6+bLIR6XlB9DitGnQzx7dptQ7zv9TrFO8wNmjn3KdUahaqbjy8J7c4zWqNyXmtkzrTfdlmUtP2LZXJas7QFUgndhC7lAj+Sk+UQdfPxJTVZtnU4VZfJMuOTwDyhk4TalgF3IZ6JXqGEXjjGvYBYo27+viS0myK+z5i7TLsIeg9LcRUlCbVtDPGKCW/C9OOpw5V/lMjsgfwgzuH1A+Iy8Tdem5DYFApZNx9fUhtqvKq2SLyDNom7nW8+gk6hcjQklMHnZdLnUfjP+QuTLBb4cU6f2QnY74nhh0fLpVSfKXVMIGTdXH1JHrHgEegDiq+GNreSBAyXw2P9An2mK0I+dHeTutl8adVOLV4l/2/D7+AJw7iP97NdiIt72/momxVFvrRrFwR4Jed7crV9vxglUaeb6hz9A/3Lc9QjvktZAAABinRFWHRNYXRoTUwAPG1hdGggeG1sbnM9Imh0dHA6Ly93d3cudzMub3JnLzE5OTgvTWF0aC9NYXRoTUwiPjxtaSBtYXRodmFyaWFudD0ibm9ybWFsIj5SPC9taT48bW8+PTwvbW8+PG1pIG1hdGh2YXJpYW50PSJub3JtYWwiPm08L21pPjxtbz4oPC9tbz48bWkgbWF0aHZhcmlhbnQ9Im5vcm1hbCI+ZzwvbWk+PG1vPiYjeDIyMTI7PC9tbz48bWkgbWF0aHZhcmlhbnQ9Im5vcm1hbCI+YTwvbWk+PG1vPik8L21vPjxtbz49PC9tbz48bWkgbWF0aHZhcmlhbnQ9Im5vcm1hbCI+bTwvbWk+PG1vPig8L21vPjxtaSBtYXRodmFyaWFudD0ibm9ybWFsIj5nPC9taT48bW8+JiN4MjIxMjs8L21vPjxtaSBtYXRodmFyaWFudD0ibm9ybWFsIj5nPC9taT48bW8+KTwvbW8+PG1vPj08L21vPjxtbj4wPC9tbj48L21hdGg+/MqbXgAAAABJRU5ErkJggg==)
Assertion : A body falling freely under gravity becomes weightless.
Reason:![straight R equals straight m left parenthesis straight g minus straight a right parenthesis equals straight m left parenthesis straight g minus straight g right parenthesis equals 0](data:image/png;base64,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)
physicsGeneral
physics
Assertion : body of trans 1 k 6 is moving with an acceleration of The rate of change of its momentum is 1 N
Reason : The rate of change of momentum of body = force applied on the body.
Assertion : body of trans 1 k 6 is moving with an acceleration of The rate of change of its momentum is 1 N
Reason : The rate of change of momentum of body = force applied on the body.
physicsGeneral
physics
Assertion : Frictional forces are conservative forces.
Reason: Polential energy can be associated with frictional forces
Assertion : Frictional forces are conservative forces.
Reason: Polential energy can be associated with frictional forces
physicsGeneral
physics
When forces F1,F2,F3 are acting on a particle of mass m such that F2 and F3 are mulually perpendicelar. then the particle remains stationary. If the force F1 is now removed than the acceleration of the particle is
When forces F1,F2,F3 are acting on a particle of mass m such that F2 and F3 are mulually perpendicelar. then the particle remains stationary. If the force F1 is now removed than the acceleration of the particle is
physicsGeneral
physics
The minimum force required to start pushing a body up a rough (coefficient of ) inclined plane is F1. While the minimum force needed to prevent it from sliding down is F2. If the inclined plane makes an angle
from the horizontal. such that than
the ratio
is
The minimum force required to start pushing a body up a rough (coefficient of ) inclined plane is F1. While the minimum force needed to prevent it from sliding down is F2. If the inclined plane makes an angle
from the horizontal. such that than
the ratio
is
physicsGeneral
physics
A mass of 6 kg is suspended by a rope of length 2 m form the ceiling . A force of 50 N in the horizental direction is applied at the mid Point P of the rope as shown in figure. what is the angle the rope makes. with the vertical in equilibrium ? (g=10 ms2) Neglect mass of the rope:
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAPwAAAEDCAYAAAARGGkfAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAAFxEAABcRAcom8z8AAD0ESURBVHhe7b2He1NJ1q97/477fOeec+abnGd6pr/J3dDk2OQcTc4ZHAAHMDgBzhnnnHPExjjnnHOWnGRbtmQ5/W7VRqYNyLQBG4S13ufZyOxd2pJlvbVW1a5d9f+AIAiNgYQnCA2ChCcIDYKEJwgNgoQnCA2ChCcIDYKEJwgNgoQnCA2ChCcIDYKEJwgNgoQnCA2ChCcIDYKEJwgNgoQnCA2ChCcIDYKEJwgNgoQnCA2ChCcIDYKEJwgNgoQnCA2ChCcIDYKEJwgNgoT/BExPTyt/+ngW8lyE5rEowk9MTGB4aAjS4WGMj4+r/JLyfXK5HMOsjEwmw+TkpPLI6/BzjY6MCOXGWPm5zqVQKITX4xt/jiqmpqaE15JIJJCNypR734aX4683ODg45/vi8Ndqb2/HEPtd54K/l+6uLohFIuUe1fBzdLFy/L3N9f75Z9nX14cecQ9G2GfC3+eb8M+CH+vt6UU/K8s/Y4KYYVGE51K1trSgsqICra2tUIyNKY/8AP9i8i93fX09Kisr0dvbqzzyOvy5XJjSkhLU19UJX/o3Eb7ko6OoralBUWGh8GVXBRdExMTLz89nZWvnlJnvb2Dvi78mf49zwX/H6KhoFLDzjan4HTn8s8jKyMSz5GR0dnbOKTOvOJ6npiLl2TM0NTZiWoXM/Fz8M02IT0BmRobK98Y/C/5Z5mRlIzoyUvhsCWKGRROeyxkfFyd80fvmkHmQfWFzc3MRGhIiyKWKSSYIFys8LAyxMTFzCihjkYxL4Ovji7KSUiaM6kyAV0DBQUGIi41Df3+/8sjr8IqhuKgI8axMdXW18Puooqa6Bg529njq+lQQS5X0o6wiSmSCOto7CJVDR0eH8sjr8PcVGBCAe0ZGwvtT9Zp8H39fFmZmML53DxVMflUMsN8rLDQU165cgY+395yVDKF5LFpKz6NMXGws/H19BTFURWaeopeVlbEvpQ+Sk5IxwGR+M02diVgx0dEI8PcXBOQSvckEi8olrNLwZa/HRe1o7xCe+yb8XAnx8Qj0D0BeXh5Ly6XKIz/An9fGBOTRlldaPAtRhVgsFiohQwNDONjbQ9T9dtrOf2+eTTg5OEJPRxepKSnKI6/Dmw8v0tJw6eJFGNy9i+amprc+C/658izB6skTnD55EpERESqbE/xz5dnC+XPncN/oHmpra+fMQAjNYtE67bg0FeXliAgPZ1/y1DkjGxfwxYsXiIqMQiFLx3n78034F51/abnIPJ1tbm5RHnkdHrF5xsAj5XP2mlLp2zJzAbnMsawCCQoMZJlIvcq2MM8s6thr8mjLJeWVjKoKpKenB5aPn+D61avIzsyaUyxeeVy9fAVOjo5Cs2KuysiBZQI6t24JEZpXKKrISE9nIhsJkT4nO1tl04T3B/iy6K5/5y7c3dzm/PwJzWLRhOfwji/evg1iAmZnZamM8i+jVhdLd6OEL3nnHF9M3vnEz+Xr48O+5Dkq01T+xedRljcRAvz80cjawqpek+/Ly8mFt5c30pk8AwMDKgXkHWQpyc+EKM4rHFVpNq8sEhMShRTb2clpzjSbN0vcWOrPReXNk8HBt5sm/FyVFZV48ugRdLS1kc4qQlXwDtFYlj3xCsTW2lrIDt6Efz4tzc0wMzHF5YuXhM+fIBZVeE43k1lof0fHCFFHlYBc1NycbCGaFhUUYohVFKroaG9HNIvM8fFxaGECqZJ+XDHOKoYCVskEIiEhQXhNVfCOwOSkJOE1CwsKVL4v3vPPpeFNk5h3tL+7u7rZeYJZm/mq0GYeY897kzH5GKpYO99Q3wC3dXWFn1VVMrxpwpsvPLXnkZlHfVUZCK9AjO/dx109PeTn5WNE+nZmxF4AEWHhuHHtOjzc3IWOQUKzWXThFWMKIeolJyYJUZVHU1X0sPSVR24eLWtqapR7X4cLyKN2UmKi0N6dqwOPp/IZGRmCfLxHXpUwHN5RFsKEj2TNDp6aq4I/N481E/xYZsE7Bee6BFddVc3ku42HxsZM5iqVMvNmAn9POre02esGz5myN7NKxsPdHZasrf6MNQVksrcvrU2wCoqn9jZWVnB1dmHNjzrlkdfhGVNIcDBMHjxkzaZIlZUkoTksuvAcLiqXmYvFhZ0LHoF4W56nsvI5esb5F5anp7wJwMWYCy4z7z+Ij4sXOvBUwaM6PxdvSvAoz1NlVQidcyzqOjo4CBWNKvi5eCZgZGD4sp2uogOP09LcAmd2XE9Xj1VcScq9b8MvC5qbmuGRhQW65zgX/yz473hbR1e4GjIX/DN/cN8YVpaWEItUVzKEZvDRwvNIw68b5+flCdLw6+CzN34ZiV9y46kz713m7WtV5UqKi4WeZScmlauLC56npAideLPL8HPxx6DAIDiwclxULuzsMjPlUtm5eJTkl81CgkOE98c7EcvLylDMXquIleHRP5JFPSfW9n7KXjORNQFUnYtHeJ5eHzpwEKeOn4APa/uHsnPO3ngHIBdq7+492LRhoyDrm2VCQ0IR4OeHm9ev47tvl+EkOxdverxZLpyl4d6enjiwbz82s3M9efT4rTL8XJERkbh7+w42rF3H2ukXhf6NN8vx5tRTV1fhXHt27cYj80dvvSbv7+CP/AoIsbT5aOF57zW/dPXk8WMhvbS3s3ttc2Cbo709rNmxxyxaWTMp7G1tVZazY/v5efjGO6NUleGbtaWV0LHFz2VnY6OyHD8Xr2B4OUt2Pl6WbzPnnTkX/z8/zsupfP/svfMKyOTBA+zZuUsQdfPGTdj6/ZbXtm1s27JpM9asXIUVy5Zj47r1Ksts27IVG9gxfh5eduvm798ux8rwsvz4yuXfYdP6DW+XYdv2rduE1+Fl1q5egy2bN79djp1rC3sNfq7VK1a+PNcbrym8D/bIr24QS5uPFn6cpet8hBtPw3kbl0dcVRuPsDxi8kdVx/mWm5MjRH++8Z9VlcnOzn6VTfBHfllKVbnZ53rx/LlwiYrL7cmiPr/Mxo/z586cq2CO1+Rl+NUB/jPvredR1NPdA54er29eHp7sNXwQzLIPns3wsQVvlhHKscgtRFSW6fCxAKrK8M3b00vIGnhnIG/3qyrDN39fP6GNzs/J34OqMt5eL8/FMyNV53JxdhYeS0tLlX9VYqnySdrwnxvevm5oaEBMdIyQjfDr4AShiWiE8BzecZibk4sQFll5xJ6rg44gljIaIzyH97bzUX88veXXrnmHI0FoEholPKetrU1oP/OecD6oZmKcrksTmoPGCc+Hx/LOKS58Qlw8ujpVj8QjiKWIxgnP4WP8MzLS4efjJ7Tr+f8JQhPQSOE5fCw+H2gTFREhDMbhnXoEsdTRWOH5bax8+GpwYKAwxpwu1RGagMYKz+Hj9bMzM4Vee35PPr8dliCWMhotPIdPmpH2/Dn8fH1RWFBId5MRSxqNF57DR+Hx6aL4SDz+M0lPLFVIeAafVovPNMPvQIuPjRXujVd1PztBfOmQ8AwuNx9qy2+q4dNx8dtyh1RMG0UQXzok/Cz4FFr8Uh3vxOOX6ijKE0sNEn42THA+Uy2/L5zfCsvnw5trsQqC+BIh4d+Az1nH743n4+1TWIrPl2siiKUCCf8GPI3nk2M+S0oSJpXgq9iomiufIL5ESPg54Etl8am1+fTUfEYfas8TSwESfg74whfl5eXCFFK8I2+u6bUJ4kuChH8HfEUXPgqPzxnHl7Ci1J740iHh3wFfhIIPwuHz4Hm4ewhDb+muOuJLhoT/Ebj0fDbbR+YWePL4CfJy85RHCOLLg4SfB3y5Jr54w5lTp6CrrSMsMz3XmvEEoc58ucJPT2FqXI4x2ShGR9g2OipIyNdhk4+NYWyMPQr/lwnHeJkRGds/Pomp9+xw51Ge31Rz49o1rFqxEjev38Dz1OdCm54G5hBfEl+s8ONDHWjLj0dKqA8CAkMRGh6NuJhoxEZFCLPY8GWYoqJiEBMTg+jwYIQG+MMnOBmJuS3oH37/djiXmy83xVd8+W7ZcmgdOSos4MCXoqJ2PfGl8IUKP47B1jw8d34I23tGeOTiB8+AEIQHusDXUhd6507h9PnbuGPtC7fgMIQEeMDXxQKGhlZ47JiM5nbVq86+C76YBV+T7raeHv7nL3/Fz//7Z1i3di0M7uoLM+bw1WP5vfUU8Ql15gsVfhjiunREWtvByyMS6S396OgfgKQ9E7VB2tDeuR7rd+vidmgdcroGMNDfgf6WDES4e8DDJhStjd3K87wffEYcRwdH/Psf/8TPf/JTfPXHP+Hb//wHO3fswEPjB8IyWHypaoJQV75A4XkDvB+9bcVIjUxDVm4zXsXr8Sr0x+lBd9tKrNxxFwbJA6h9tTT8IFryMlEU/QwDXarXgv8xePTm98zzxSJ/9fNf4Pe/+S1+9+vfYNl/vhXa9/yGmx7xh52bID4FX6jwQxgZ7kZzcy/E4lm95dJSdEfrQW/nWqzdzYSPF6FiVHmMIe8RQ9rajInRDx9A8yz5GbZt2YLf/eY3+NUvfoE//+GPwrLP/n5+Qnuep/UEoa58oSn9JKamJqAYn2JRV7mLM1yKrteE70bFbLd54QkF73ZX7nh/+Frx58+exXfLluEvf/qzkN4b6hsIi1vwdJ6mxyLUmS9U+Dn4MeFVMC0fwRiL+KMTU5jPSnP87jkLM3Pc0bsNIwMDaN+8hVs3byLA31+4/EcQ6ozmCj89DsVQN9rzc1BWUI6aQQVr5f84zU3NSIhPQFZGJvu5CTnZObh+9RqOax3D89RUGpBDqDWaK/xUH3orkxHForWDdQBi2obRqTz0LvgAnt7e3le98cL1eXd3HD50SBiFl5WZJewnCHVEg4WXMOGTEKRzCyb6NvBrkKBFeeh9qa+vh+WTJ9i2ZSsePniI7u5uun+eUEs0uA0/hVFxLTKsTOD2yA4hTRI0K4+8L1xuPijnyqVLOHHsGEKCgmkVG0It0ehOO3l/M/LsLeBtZY/Q5g8XnsPb7slJSTh/9hzOnT0r3GFHEOqGRgsv621Atq05PC0/XniObHQUT11ccHD/AZibmgqLVRKEOrG0hJeWQRRzG7cF4fVhmCBG5TuulMl6G5FjawEvFuHDWj5eeE5FeYUg+6H9+2FrYyPMgksQ6sLSEn60Er1M+Ds712DNHiZ8Yh9qxpTHVCDvb0Ku/SN4WzsgvHXwgzvtZsPnwsvKzMQJLS0cOXQIsbGxNB8eoTYsDeGnJzEuG8RgbRzybY7gxLI/46sVJ3HCsRCJDUMYlE1g8q1O8wlI20uQ/PA2rAzN4FEuRs0CDZLjc+Hx1Wi1jh7F5YuXkJ2VRb32hFqwJISfnpRjuKsG1XF28Lm1BXuXfYWvl+/DTl1fOCbUoaZLCvlbxo9goO4Fou/fxANdEzhktqJsAQfK8V56aysr7Nm5C7bWNsKsOQTxuVkawk8pIJd0orM8HTkxvgjycIarZxD8Y/OQWdGNTokc429NczMGWU8jal4kIS05A3nNA+h+R/r/IfBLdfq37+DU8RPw9fHBGEv3CeJzsrTa8GoGb89nvHiBUydOCvPh8Ut1chlJT3w+SPhFhqf2Dvb2Qgee/p27KCooVB4hiE8PCb/I8M66mtoaPDQ2xtbvt8Da0goikYg68YjPAgn/icjMyMCFs+dwmqX3YaGhdH2e+CyQ8J8I6fAwYqKjceLYcVy9fBllZWXKIwTx6SDhPyF8AA5P6Q8dPAgrS0s0Ny/E2D6CmD8k/CeEt9tLiotxz9AIB/btg5vrU6EnnyA+FST8J4bfVceXnz588BBOHT+J5MQkDLN0nyA+BST8Z0AsEsHdzV24q+7alavCAB3qtSc+BST8Z4DL3dnZiQfGxtizazdcnF2E/xPEYkPCf0aysrOho60tjMQLCQ6hZaqIRYeE/4zwaa0T4uNx9NARXL18BUW0MCVjEpNjQ5B0taOjqQktzU3C1Yym1i60i4chHXuzUpwCZD3o72xGY10DGuoa0dItQZ+cZVLKEqphRyflGJP2oa+rDa3sNRqbu9HVOwrZXMsWTCqgkPZjQNSBztYWtLW1o727F71Dcsgmpvk7UXtI+M9Me3s7rJ5Y4vCBQ7hnZITqqirlEU1FjL76FCR6OMDhoQkemZvCwsICZvaBcI+vRm3P61c1pkfa0V0YiQR/VzjaOsPZ1hFuQc8QW9oH0TvvfmQVh1yEvsYc5Mb5wc/RCo8sXODon4GclkGoWiFwWt4PSWMuihP84O9kCzs7D3iGv0BGdTc6R+a3rsHnhoT/zPCVaqoqq4QprvlS1K4uLsLQW82ERd3uLJSHGcP42mmW+RzF8aOHcULrOE7rOcAioh5VPTNasbIjDWjJDoTn48ewsvdBcGwCEmN94WFjhceWgYgq7EIbS5hUR3oWjxUSDHfXoi4vFknOt6F/fC/2H9aBtls2XnRM4M3pEaYVUox0l6EpwwXOD27jylVrOARno6xDgn75NK9C1B4Sfj5M8zRzBKOD/ejv7UFPby96esToEXUJU1J3dYkg6pFgYGT8g2v5+Lg4Ydjt2dOnERkZCbnGLWjBU+xh9GaFIsnOABZPzGH8xBpWjx/Bmj06BqYgvnIYr5YSnB6ErMQD4ebXcOqyM6yim9AnqN2OiiAzWJ0/B137RIQ2jGFUtfE/oOiBtNAZvtfXYeO/luEfO+5BL6AKlZLpt6QHX7p0IA6RHrbQvR2CuJwOLPBd1YsKCT8fxocx2lmBmqxoxAa4w83ZGY4Oznjq5g5Pb294eXrD2y8Skc8rUdktw4eoykfhBQcGstT+IHRuaaO+tk55RFOQYkJagYxgf3jbByG1qAr17R1ob2tlWxs6xSyKjrK0WWgoswqYlS12u4L7xw9DyzgZgWUzVe0kpNluCNM7iCMXHuNOcC1aZT8We1nu3x6GZ5ZHsP/bf+Evv1+HTWdtYJXWhYa3JkFlyb4iDYkhnrhvHI+M4i9rtWASfj5MjELeU4eWkiCEWF3FlX17sfPgLVy38EVARAyio/3gY2eKh/osFbUOQUh2K1qHJ+ZIJeeGz4pj8uCh0Inn5ODI/q+el+r4ZUW+LHZNdQ0aG5uE1Xg+GlkTJCXucDQxhfb9cCSWijH3hMMSyJrD4X9zF45tO4HLHtVIm90Kao5Foe1JHNl5AYeMYpHWM/buSnh6iDUlYpAZYoabpy7g6PJl2LFmO3bp+sG9oA+9r/0hWVlFOpIi/WBqmoTs4i+r+UXCz4tpTE+NYWqiEIV+13F9/UqsYGmfblAzWocUGB9vQ/NzJzhf3Iqda3dh9w1PeOZ1Q/Sec+TxHvrcnFzo6egKI/GCWMTnU1+rI7U1tfD384ezkzPiYuPQ0tIi3AH4YVcZpjHVnYd6/xswOHMQWw/p4ZaJFwKSi1HcPgwJC96vOTfeiIHsJ3istRlbt12HXngLCmcPVuzJQL3nFZzfvBfbzrvAo0aK7nfVvpMDQEcEXsT74qFVMNyNbsDi8BpsXn8UWmasQm9ScM2VvBQ+McIXJqaJyCoi4ZcwdagK18OdjSuwctcD9kXrRq+QLU5hojsH5S6ncW3j3/DPtSdxzD4bKW3su/SeYX6ERcvgwCDs27MXF8+fR2pKCsbG1K+V2NXZxZoyXtA6fATbt2zFzevX4ersguzsbPT3ve8a+eMYbclArtNV3Du5FVs2bcK61Zvw/faTOGvojqdpLaibfTfxYCm6I3VxZ+d6rNmlj3tJnaiaXc8MFaAlRBvXv9+IjYfNYJ4pAWvKz80Ee79tYUiJCcZjrwJkpSUi3+Mabny/Eqs2XcYV1xzk9Cjw8iVYzTJOwmsAvPFYj8pIAxhtX4N1e42hF9KMjpkAPNGDyXwrPD37H3zzz7VYfjkIrnlyKD7g4mxlRSUM7uqz1P4wLMzMUFBQICxqUVdX99m3euXG18N3ZM2ONStX4f/81//Cn37/BybqZty4dh32tnaICI9AUWER+vv75zFseEJYFKQ2LRwJvvZwtjTEvStHcGTdt1j93TZsu+wIu2ctaGF5udBSF+ehxfsirm1ej1X7H8IsvQv1sz/nkRK0RulCZ/sqbNhrAIO4PlSpus42g1L45DBfWHhVoKS5HyOtCXhmcRRHVqzC6l3sbx5ahYpB/nuwNzGdicRwEn6JoxQ+wgCG27jwLMKHtqDzVa9xH1DmCK/LK/EdE/6bsz5wyhzCW+NE5kEHa8v7+/oJa9A/uG+MQJbax8XGIjoq6rNv/J5+vkWzja+Tv271GvzyZz/H73/zW3z1xz/hb3/9GiuWLceBffthb2cvVA4/PoKQN5kmMD4mg3xUipHhXvQ1ZiHL8y6MDq7D+uU7sFfPF77VCvRw58TZqHc7i0vrN2D1QXM8zulG08sTvUQpvO6OFVi3+w7uRPeiYnaG8CavhPeCmUcl8hp5G0KM4XIveN3Yhh3LN2PjKSfYPOtG3yTvWchBSiQJv8R5Q/h9D3EnrA3dM6nkVA8UWRZwOP5PfPOvTVirEwnv0jEo3jOl53R1dyEmKhqWTyzh4e6BQhbh62prUVNTozZbLdv8fHyxdfP3gvC//sUv8Yv//in+/Ic/YMfWrbhvZIRnz54JS2t/2I1B4xgXF6EgwAD6O1fh+z03cT24FaV8Ef/+XDR5nMPl9Rux5pAFnuR1v75qkLQIrRHa0N6+Amv33MXdmF5Uzld4tzJk1/I/KnvP463oSDSF5Ym1WLd8L7ZphyOkvBMSWTYy4gNgZpaETBJ+qTKT0hsy4Vdj7Y47uOFdjqruQYwMdqO7NBYpZkdwZu2/sWzbNVz1LkWOmF8ken94hI+KjGQR0g4JCQnCEFx1g9/mGxYSgk0syv7u17/BhrXrcJS15w309RESFIRaVkF9/L3+U1B0vkAmS63PHz6NAxYssrawv8NoCboCr+Hm95uwZr8JLLK60Ti7ThnMR0vwDVzfsgZr9xvDOKUfte/qpn9N+FJk18z6vAeKUBmkC4PdK7Fi7TmcfBSGpMoERMaGsgwnGbnUS79UeSl8VdQ9GG1dibUbL+KMZSKScotRVxSLWCcd3Nm/CVs2n8ZJkxhEVUsw9CG2M7jwkRERgvDx8fEYGXnHipifiXb2Hl2cnYW7/fbu3i2023mHXVdXF6RS6cLdCDTcgJ6I2zC9dQ0HTNIRX8vS7ck6SJKMYLTne2xg7Wvj5I7XO+16M9HgfRkXNm3BxuPWsCscRCv/883FW8LP/rwVkLc+R7b9GVzauAYbd53GTVdr6LsGwNg0GYVlrFb/giDh582M8Ea4t3UV1m++iNPmEYhMSEZeSjCC3Wxg88QR9j7PkVLRi56xD0ljXzIjvJ2trbA2nbpNeMlT9IaGBqFNzy/NJSUmCje4TE29y6oPZKQD42kmcLO4h9O2xXhWzyuSLsjKnWB3cit2bb0KvbAWFMy+LNeRjDLHMzi26TB2XPdFWOsoHx83NzPCh3vB/C3hGVPDGK2PRJTBQZxc8w+s378bK86Y4vz9RORWsed+QZDw80YpPEvp77GUfsMuPVxxZOlmfjFqy4tRXF6P2s5hDM6ONB/IlyC8WCxGW2urkNp/PJOYnBiHQjEpfMqvIalFR7gJPFgGYRbfiRIhoI5goucZ4u8dwsXdx3DWsQSJ7UJpgamKQKQaH8Chg7o4a5eDkqG3x8W/xtQg0BmB1EhfmHtUIK9eVVNkAKIcD/hf34Dd336FX35zDNvvxCG1Vr3+Nj8GCT9vXgo/02m3fu896ATUorFHKgyOGZVPLNjdUuouPGd8fFy48efjYZ/rVD8G2utQWVSDurYBfqVbCatAG7OQ5GADD/cIJLXIIBY+ZPYceSuaQ+/C+soxHDGKhmfezGckQ2eyLbyv78fZu56wTBtA3/iPZFsTfUBzIOIDnsLIqRAZc1zDm5bVoynRDBaHluObb/di0+0YJFST8EuU14Vft+8BbvNe+kUYE/MlCL9wMINHS1AVb4fHN7WhfdsKdv4xiElMRnJSFKJCg+Hll4Sk/EaImLivqphpBRQtiUj3MITuVWPcd07Ai+IylOXFItSate+1TWAdWYqCnncPfppSSDHUmov6SH2Y3jiHXeddYBtSyiryYQyzJ76ecUxgsi8fZd43cOP0BezVi0RcKaX0S5gm1EQZwki4Dv9QEF60CJPOapzw0kJURBjD8MgObN98CIcvss/Y3AY2ts546huLxAoR2lV+zgPorUhEnI0pbK2c4RQYihBvWzjZuMDarwD5bSM/mnVNyvrQW5mMPB9DPLx5CSeuWuORdzrym/vQN6HiltcpCabaExAX5A1z5xfIqSHhlyg8TNSjOvIu9L9fhVU770MnuAVdC9GEfQPNEp7F0IkBDLUUoighEIEe7vDwjUJkSh5yS2pR3ypCr2zuySWm5AOQNJWiMucF0tPS8SIjB7llTagXyTAyjxbH9OQYxgZF6GupRk1ZKYrL6lHX0oM+KdvP3prK5IBJ39PViuqaTvRIFuELsIiQ8PNhUoHxoXb0NIQj3OwADnz9J/zuf45i370YJJd3QiRVQP7hnfJvoVnCz2J6FLLBHvT09DPhJt+vT0Q+iGGxGGKJArIF/Fu8G14jvJ70qzsk/HwYH4GsswS1aS54aqgFrY0bsGrdcRzXc4N3chmqekYxNFc0+AA0VviPZXp6wf4GSxUSfj5MjWNC2oOB9ipUF2UgIyUVycmZyMyvQk1bL/pl4x80hHYuSHhisSDh1RASnlgsSHg1hIQnFgsSXg0h4YnFgoRXQ0h4YrEg4dUQEp5YLEh4NYSEJxYLEl4NIeGJxYKEV0NIeGKxIOHVEBKeWCxIeDWEhCcWCxJeDSHhicWChFdDSHhisSDh1RASnlgsSHg1hIQnFgsSXg3p7OwUFqJwsLdHfFwcCU8sGCS8GsIjfER4OGxtbBAbE0PCEwsGCa+G8LXWfX18YHzvHoIDAyGRvHMZBYKYNyS8GsIXa7QwN8ep48fhYGeHgf4va2ZUQn0h4dUQvh78xfPnsXL5chjq60Ms+rIWLCTUFxJeDUlNScHWzZuFZZjPnz0rRHyCWAhIeDWCr9nGl1jm665/++//4H//1//Cnp27EBUVheHh2aslEsSHQcKrEXy9tvLychgZGOKff/s7fvaT/8aq71YI/68or1CWIogPh4RXI0ZHR+Hj7Y2d27bj66/+gt//5rf46o9/wpbN3yM8NAzTi7EcM6FRkPBqAl9bvb2tDXf0buNvf/0af/nTn/HXP3+F3/7q1/j71/8Dc1NTdHZ0YHLyrdXOCGLekPBqglQqRUZ6Oi6cO4d//f0f+PZf/8Y3bPvH//xNSOuvXrqM+Ph4DA4OKp9BEO8PCa8m8ME1+fn5QkpvZGCAM6dOYc+uXTh7+gysnjyBl6cnnqWk0CAc4qMg4dUEmUwmDKEdGRlBRUUFHOzscfPadbi6uKC9vV3Y3z8wAIVCoXwGQbw/JLyawNvwM4jEIiGi39HTQ4C/P8bGxpRHCOLjIOHVkMbGRrg6u0Dn1i14enig/51DaycxpZBA0tmE5uoqVFfXoqauAQ31Dew8TWhqYvubGtHUwPY11KGupgpVlVWoaehAe78co/NYQ51YOpDwasj7CT8IuSgbmSGucDZ7AjsHNzz19oevhxs8HCxh8+gRHls6wPGpJ3x8veD91B6OT0xh5RQAnxftqO9TnobQCEh4NeS9hJ9oxlBtAHxtrGF83wfBsS+QnpWLrPgABBmfxMU9e7Dn5AOY+sYjOScLWelxSPV9CDsrSxh7lSKrjvoENAkSfnoc49I+SHq6IOobhkTGkuQFXOv9Q3gv4WV1GKwKRnBQInwSOtHN3j9nSlSMEnstXNywAeuP2sM5vxsvg/kY0J2CvOQgOAcUI7eShuxqEhou/ASmhlg7N90fUW42eBqWi2eNgHRcefgz8V7Cj3RgtDkHRWVNKGybwqt43VOCModjL4XXcoBLoRgDykOY7kZ3SyVychvQ0kaTa2gSmiv8+AjkPTVoyfGD773juLx/N47fD4d7CTDwJQmvGMXEUB8GpWMYZO97JjkZ7ypEsf1xXNq0CRuPsQif14ke5TEW/6EYG4WkbwiyEblyH6EJaK7wcgmkLdkoS7bGk8tbsGfFOuzSDsLTUkDymXuu36/TTjXvFl4FvGkzJoNMrsD4Z27SEIuH5go/qcCEVISB7kTE2Z3BhTUbceC6P1zLgP4vKcLPwXsJP8U+i4FmNJflI7+gEtXdoxii+3SWJNRph1pURt6FwdatOH7D793Cy4YwKh1VtvFZGBwbwIBYBFH/KIZfu6eFRcr+boi6etEzNIH3rT8+nfDsd5himU53JcpToxHtaQ9XB0fYuicjrqADIsUU6DL90kLDhedhrAploXdeCn+TCc9S+teEn55kycAwhjtrUJueiMz0POQ19qG9swUtBQlIDg2Af/hzpJQz8Vk7Wi7rR39jPgoTgxHsF4rghGIUtw1ByiqE+WbKgvAuLtDV1obXogrPfv+xJnRXPUNMYBAC3e3gbmmIm6dvw9A6FqnicQxSer+k0HDheViuREnIbejPFv5VWGPf9vE+SOqeIc3TGMbnzuCGrgksA6Ph7ecDt4e3YHTpKI4ePI+Lhi7wTc/Gs7R4hNqawEr/Ei4eP4pjJ3Rw2z0Dyc3jkM3zztZPFuGnmfAjXZC01aC8ugF1dVWoSI+An+5VmJq6wKdWhjYK8UsKEn5ewkchyfYMTq76Fus2nsBFS3/YeofCz9EKrhaXcWH7Ony/bi9OPnDBE+8w+D11hrezFcxuHMKJTWuw8awN7sd1o1s2v3D56YRn70cmx4R87NXlvPHeBhQ6PIS3oztCm2RoJ+GXFCS8KuHfSulr0Zb5GKb712P7xgu44l6MlKZhDA70YbD7OeLNj+P8urXYcsoG5tF1aJJIMCgZQPtzZ/jd2IodB/Vw3qkYtZL5teY/aacdl/4VCgy1lyHF1QthISkoGZrA8PzqKOILgYT/MeEFujFY4wbHEztxeKce9KPEqHx1+boD1b43YLh7A7Zd8IBd+tAPHV1Nsci0OIiDB67h+KN0lPTN7663Tyr8bAbq0VEYj8jILKQUizE4NS30chBLBxJ+XsK3o7fCBXbHduPEgXswfTaAauUQVky0o8JHGyZa27H/TgjcckeEs3Im66KR+UQLRw7dwHGLNBR8QuGnekpR5ngCl7nwxx3hWiTGO88yPYqR5iLUFmQhr1GC1lFh5xsZAPGlQ8J/rPDjSuGPbceBu68LP1EbpRT+JhP+BQp6P5Xw05B35CHX8hDOrFqFtQctYZvdhk7ur7LED0xjWtaHkZZ8FOdk4XlhE5r7mPyKCchGxzAxMfPbEEsBEv49hT++3wgmyf2oEiIgY7wNFd638FCI8MF4miN9ldJz4TMef0rhWQI+OYzR3gZUJrrA6eRyrPvVr/HVslM45xSP+IZedA5PYfxVns70H21GR14Qgh+zz0DHAHdNHeDk/BT+0WlIrBiEeISS+qWEhgvP410NysPuwJAJf0I7EG4VwOBbQa0T/dVP4XB8D4vw92GWOoiamTb8VCeqfHVgenwHDuiHwT1v9FUUnaqPRbblMRw9rI0TjzNQPM9B+h8l/EQ/hjqKkR/pDCftUzi7czeO8EuDThEIK+5AQ/8kxl45zH4YqkBdigvsDXShffkm7ujqsE0Xxg5h8C8cQseIsiixJKAIzyJ8aYgu7m7eDK0bfnApAwbeuhTVgb4KZ9hq7YTWPkOYvNaGn4nw27CPR/hc6ett+MdHcfjgdRzjEb5vfveef7jwPGdXYEI+CImoDW111aguK0dVVR3q20ToHpSxVH0aU6/yevbDxBCkva1orq1BdWU1avmsOVVVqG3uQsfgBOSU0S8pNFf4qXFMSjvQ2xyBUJP9OPz3v2PlrnvQDWlEYZsUo6/uIJFhrDeHpf23cGPtP/Dd8mM47ZiPxKYhSKT96Gt8htj7+3By5b+w7IAp7gbVoKFnGFJJFzqf2cDjwiqs/mY71l3wgF9RJ/rmYRCflmq28AMDr25sJYiPQnOFn5RhorcGzfl+8DE5hwt79mD/KWMYeOUgpbIXkleDZAYx0pyCTA/Wxj26E3v2X8E1uyRElYnR2duG1oIwhLPnX9m3D/vOmuG+XwHymnrQ21mNmjgbuNw8gCO7WFqv7Qq3tHq0DaseycInsZyZyLK1rRUebu64zVJrvk78zLpyExMTr012SRDvi+YKPz2JKZb6Dvc0o7mqCEW5ucgtqERFoxhdEjkUrwIxS5GHuyFuLENFfjZy8kpQUteJjgEZRuVSIR1uZ88v5s8vrEZlSx96huWQj0ow2FmHhtI85GfnI7+sAQ0ilj7/0GP2GnyZKR7JZXI5Ghrq4e7mJqxCwxeW5Cm9lEnf1dkpLDZJEB+Khrfh1Qc+L319fT1ioqPxyNwcVy9fxtHDR3Dj6jW4PX2K2JgYFBYUCPPTE8SHQsKrCXyp6MrKSly7fAVf//kr/O3rr4UVZPn6csv+8w3u3r6DgvwCivDER0HCqxEdHR24q6eHv/7xz/jdr3+DP/z2d/jZf/8Uf/rDH2FuZo6enh5aTJL4KEh4NYKn9ZHh4dA6fFRYQZZL//Vf/oq9u/cgIT5BWYogPhwSXo3gPfA11TV4+OChsILsz/7vT7B21WqYmZgI+wniYyHh1QzeWx8YEIjvvl2G/+///S/s37MXyUlJGJFKlSUI4sMh4dWQtOfPsX3LVvzypz/HxXPn0dDQoDxCEB8HCa+GFBUW4tKFi1j13XfCWvFikUh5hCA+DhJeDamtqcGTR49x9vRpODo4oL+PVnwkFgYSXg1pbWmBn68vHhgbIygwEBKJRHmEID4OEl4N4dfjI8LDYWtjI4y8Gxqi9d+IhYGEV0O48FGRkXCwt0dcXBwJTywYJLwawoWPjIiAna0tYmNjSXhiwSDh1RASnlgsSHg1hIQnFgsSXg0h4YnFgoRXQ0h4YrEg4dUQEp5YLEh4NaSrq0u4LGdvZydclpPSjTPEAkHCqyF8ZF1CfDycnZzw7NkzmriSWDBI+EWAT1fFb2dta21FRXk5yvnc8JWV896eP38OR3sHGBkYwsXZBfl5eSrLzX+rEh5LS0pQzt4PzyDGxua3Cg6xtCDhFwGFQoGysjI8tniEI4cO4/TJU9DV1oEO325p/+h27eo1nD19BieOHce5M2dx8/oNleXmu+nqvHzt40e1cFzrmDAFdltrG2UOGggJvwjwiSZfpKXhwrnzWL1iJS5fvAhnRyfWJreHjbXNj2687c7TeVcXV+F5dja2KsvNd+NDdPlrX7l0Cfv27MVD4wcoKS7B+Pj8lr4ilg4k/CLA56bLSM8QZpq9duUqUlg7nFcCvPONt8/nsw0ODgq98/xR1fH32fjr8i0nO1uoTPgtt7k5OZTWayAk/CLAp6nKzMjAfSMjGNzVF9rO6kBDfb2wks1TV1dBfhJe8yDhF4EZ4Y3v3YOhvgGKioqURz4vNTU18PH2FoSnCK+ZkPCLwGzheYQvLCxUHnnZg/+ptxmqq6vh7eVFwmswJPwiQMIT6goJvwiQ8IS6opnCcxGm+PLM7FG5i+18uX96jv3KH1/+M/2yDNtUQcIT6ormCT89CYwPY3SgB6JuMXr6BzAwJMXQ0AgUI0OQD/VC3C2CqLcf/ZJBDPQNYFAqh2ySVQTjoxgb7kN/nxhdXb3oHxjB5OTb0pPwhLqimcIrBiHtbUBj2QukRYcjOjYTmdX9EDPBRyUd6GoqRkFKLBIj45GUXYcqkRyjXPgJVhk0liDvRQ7yi+rR0TuMCbb/TUh4Ql3RwJSeCTA1gcnxdojL/eGlfQpXzj2EeXwnyiQT7NAgFH0vkGR1DbePXYK2UxbiW6YwySqK6almVOckIcA1Fml5jRgYZ/veDvAkPKG2aHCn3Qhk7UmIubsXp3cchZZlDmIa+VBTGTCUhLh7e3Hom/XYcN4b9tlDGB0fASSZyEsIgaNnLjKrWMXw8kRvQcIT6ooGCw9MDtaiwu0Cbh/Zg+264fDJZ1JjFBhMRKLpQRz8z2r8e4c57sd0ok8+ALSGISvGH/ZxHShoe3kOVZDwhLqi0cJPDTWgxusS9LX2YNutEHjl8okmmPCSBCSZH8bBb9bgX9tMYBTZjl5ZP9AciqxofzgkdKGw/eU5VEHCE+qKZgsv64Ao/h6szx/AjlOOsEoRMbEHIa0IRIr9GZw/tA+rv9eFjnsRikW96M4Nxoswf/gX9qL6Has/kfCEuqLRwmNKiummYMQYn8GR7VdwyyMdiVWNKAp2R3qoOWzs7+D4di2cv/MUThmViPYOQlJQFLJ6ZBD/4NFbkPCEuqLZwmMSGCtHsZ8+7u7ajrMGj2Ho/xyutmHIzU5FXq4X7M7txtnjJ3HGJhBGFlGIiSxCp3wC77qTnIQn1BUNF54zBFGWO3wvrMeJ/Tuw9YYD9JwLUNjRi2FRFvIsj+LGzm+xRksHWqYpiMrrg1zFYJvZkPCEukLCMxTNKci1PIAzG5ZjxYH7MIptR804E2WkCf1x+jDdz/avO43TTnlIFU1jQvm8uSDhCXWFhOdIy9CZaIjbWiew7/xTBFYOYYDvn+rDdIMXPPXO4OAuQ1hE16CO2f7u+E7CE+oLCc+Z6sBoSwJCvULh6luE+v4xpdQjgKwI2dFsv20iMqvEmM8M8TPCP7jPsgUDQ5SoyYw3dXV1wow3bk+fkvAaCgkvIMPUmBid7SK0tg1jbHxmfPwk24bQJ+5Gc6MYkuGZiuDdzAg/M8XV7Aj/OXkV4V0owmsqJPw84JLPR/QZXk5imQ49HR1cPHceyUnJwr5hqVSYlPJdm0T5ODw8LJTnj7P3f8g2M4llZmYWrCwtYWttg5wsmtNOEyHhFwEuUl5uLq5evoKN69bD5MFDpD1/zsRPQnx8/JwbX22Gb3x5qZiYGERHRyOWPcaz/yckJKh8znw2/rp8s7GyxuWLl2BmYoq8nFwSXgMh4ReByclJYcJIPoHlmpWrcOzIUZiamOChsbGQ5s+18U4+3u6/o6eHyxcu4szJU8Jc8gZ37/7oc9+18XPyjZ/z9MmTwlz1fDUcmpde8yDhFwHeM87ng+dpvbubm9BRFhMVhWi28UUi59qi+cbK8Ofc0buNs6dPw0BfHwH+/ohh0V7Vc95nCwkKRkR4OPLz89Hb20crz2ggJLwa0t7eLohpa2MjpPa0XDSxUJDwakhvby/iYmPh5OiIJNb2prY2sVCQ8GpIR0cHIiMiYGdri1gmPkV4YqEg4dUQEp5YLEh4NYSEJxYLEl4NeU34OBKeWDhIeDVEJBIJl+H4uu58wA0fqksQCwEJrybMvqutf2AAcSyy8176Z8nJmJj44Ybc2eUI4n0h4dUELjIfN19eVobAwECYmZhA++YtmJuYCpfoGhsbhfH4JDzxMZDwakRjQ6NwO+2q71bgu2+XYfk33+I///wXtmzeLNzS2tfXpyxJEB8GCa9G8M66h8YP8O9//BO//sUv8Yuf/gy//dWvsW71Gvh4+wh3vBHEx0DCqxEKhQJ5eXnQ09bB3/76NX7yv/8P1q5ajccWj1BbW6ssRRAfDgmvZvB2enBgkCD6z/7vT6B15Ciys7KFyoAgPhYSXg0pKS7GrRs3sP37LbAwMxcu0xHEQkDCqyG8cy4lOQk+np54npqKkRG+5h1BfDwkvJoyPDQIUXcn+pn8fEINglgISPhFZYKZ24a2mjIUF5SivKYJzaIhSGTTeH0ti2EMd9WiKi8b+VkZyCmsQlkTK/fOZjs7weQo5JIOdNaXoawgDzl5FSitFaNnZEL1HHyTYxiTdEHUWIXqkkIUF5WgpLIBDV0S9MunfnS+feLLh4RfLCZkkIkqUZsZgQg/L7h7BCA09gXSKzvRKpnCzMS405NDkDVnIjfSA0+tbeFoawl7u6dw9ExGSjmTlwV31UNt2AkU/RhsK0JxcgAC7R7gwR1jGJoHICirGW2q5s9XDGG4tQgVz7zhZ2OKh/etYeUei8SSVjRJJiBXFiOWLiT8YjA5gOHKaCQ+tYCZiTOcglKRVlqNmsY2tPdKMSSfxpRgI4vsLelItX8Aq4fWsIvORWphPgpiPBBkYQAzp0j4FQ+hX+X8FzzCyzA2JGIRuxhlEY9ge3k39m45hAO3/eFZJEHfmyGbRXjFUBt6a4IR7nQf1y9bwco7ExXiIQyOUYTXBEj4hWasF5LKKMRa3oDeJR1o2yQhvkqiegGLoRJUR5lCX+sCrt4PRrxYWPoCEKej1usKdC7p44J1NrK7xn4k+o4DLZF4brEb+7/5Gr//51EcfJiIuIZRDL8d5ln2kYmcWBfcvR2I4MRm0Hw6mgMJv6CMQ1YbiVTbi7hw9CoumEQhoXEYEpV9buMYLfJG1P2j2HfECDfditAw02afaMBAtiUenT6Jwyes4JIrQrPqvF4Ji839qSjxv4HL29fh37/9N1Zvu4brngV40TktLKfxA1zvPBSk+uLBfVYxpbTxxgGhIZDwCwYTaaQcJT63YHhwO3aed8WT1CHMeSf7lBjNYYZ4orUJm07ZwjimA4OvpO6FvDUAXlf24vDm87jlV40sYbG7uWCvzYQvT7LDvdv3cXnbVpxcsxIbjtyHflgNqlja8EO6zoVnzYYXATA1iUF8aisJr0GQ8AvFeDdGS13w9OpO7FqvhbNPYhBS0o6GxgY0NnWia0AGmbKokIIrSpDtdAHXN23A9xc9YPtiAKOvhJdirC8OEXf34Pi6fThiko6o2ndcmptmZxYnoJhFbQuXRPja2yBQZycOrt7IKhPWTk/rQpN85uQ8jchDfpo/TB5GIy6l5Y0MgFjKkPALxERvGWq9L0Fnxyas23YLd5x9EBTnDy8Ha1g/cYVHRA5yWmWQCOF0lGUDKUg0P4wTKzZj2/UguOWzCuGV8HIoBp4j4cFBnFy7Ddu0wxFQOKw8pgIuvCgeBUk+eOSei5TsUjSn2cLhDMselu3Cbm0/+Jf04OW9dnzxiXwSXkMh4RcEBYYbkxB/dycOL1+FlfsMYOgWgri0KIR5PMGTG2dx8fQN3GRRP6KiDxKMYHIgBtFGu3Fw2Vbs1ImCd8kEXgVhlnaPD2TgmdlRJvz32HDJB95Z77g1Vil8frwHzJ8WILVSisnhCjRE3MXdHSuxcoUWjpkmIL5JznTnNU4RCkh4jYSEXxAGIC7zgduZjdj2zUZsPm8P6+gy1HSJ0dWYgzwvbdzZsxpr1p3BWbss5PQNQNodhVijnTjw3TbsvhMHv/JpjL0pvPlRnFi7GesueMMrs1d5TAWvhHeHmWse4ot4nz7b+jOR4XAOlzauwopNN3HFuRjF/SOYmC5DaUYAzExIeE2DhF8QOtCRZwfLA2uxafUpHHuSgdQ6KeQTU5gaH8RISyhiTPZh//J1WH/aHc45LehujUayyR4cWrENe94S/mVKn2h6GMdWb8GGy37wzu5XHlPBbOFdchBXMHMRcBQjVcGIe7Afh1atxcoDj/AwpgqN/QUoyQmChVkMCa9hkPALQgvash/DfM8abN6sjcu+Tah6rVe9Hg2x+jDcthKrdxjjblg5WloTkWnNIviqrditEwkvltL/IPwoEz4Rsff2QWsVb8NHIrDoHTfQvCl8vkR5gKHowkD+U3hd3YSt323F5gvWcE2LQFhKGMzM4pD8nITXJEj4BUGEznx72Bxei61br+OCVx1KX8vA+9CebgMHLXZ8z13oBleiRZSPCs9LuL5pE7Zf84NTjnRWp90gxsSRCNXdhcOr9+GIaTqi698xDu4t4QeVB5RIm9EabwqrYxuwde1WHDHQw2VbN2jfj0VKRjtdltMgSPgFQYa+8kD4XdqEPTvOQcuuCHmdswWVoivLBR5nN+LAcWMYxIrQxm9iiTGCxZFN2HLOEeaJolmj4kQYbfSG+6VdOLjpPG74VCHzXdPZzQif4AFz11zEvyk8i+FTklIUe9+G4c5/Y/PG5fjH3uvYox2G2NxuZRlCEyDhFwhZRybyrLVwbvdhbL8ZgajakVmDXViET7WHndZunNN2hnOZAr1j4xircEe44UHsOmQMHc8KtCtLY6oBQ9nmMDl1FPu0rOCcLUbbO5dyZwf7klCc7AVztwIkFqtK/ycha01Dpu0JXFr3R/z+6++x/KIfAvN7lMcJTYCEXyCmR5rRn24J20vHceCICZ7EVqF6dAxjYzLIRwuQH/QIxqf08NAlFRlDrILg0XwwC1Wh96Fz7BaumUTimUiOAbkcciZmla8OdK4a4KLlC+R0jc7dzp6ewpRCgvGmYKQGPIGORSICnndDPj75xi24jOl+DNeEIPTOTuxesxWrLvrAO0esPEhoAiT8QjEtxzRLm4v87sP8wilcuOMI64gsZOW8QHqEDZzNTXDfJh7Rxb3g/XlCu3l6ANL6JCQ81sE9vYd44JuK+LRneB5oCyf9O7hnF4nAsgH0zdxLq4Lp8REMteajJsIAljeOYMvhB9CxTUVBYw96FSrugFO0Q/zCCg4G13Dolj980zrmuP2WWIqQ8AvKBOQtaSgMeQJrMxs8cgxGSFgoQt1d4OUbhciyXrS+uWrUmBgDRaFI9HGErVMA/AL9EeTlAWfXSMQVtKGTuf4uIafGpRhsKUBVnBM8HxlB7x6raHxeILdOjB6Vt7yyPdJSVGTFwM0vA5mlYuq00yBI+IWG36M+2IHO2mKU5GYjN68EpTUtaO0dxtD4m3eucZjOimFIRQ1oqigSZsYprmxGk3gIw2OTPy4jS+knFaOQD/VjoEcMkbgPvQNSjIxNYIKdWnVloYBcKkF3Vx8kQzKK8BoECb9oyJnHfejvZzK/HWZVw8UfHGGiK///SSDdNQkSniA0CBKeIDQIEp4gNAgSniA0CBKeIDQIEp4gNAgSniA0CBKeIDQIEp4gNAgSniA0CBKeIDQIEp4gNAgSniA0CBKeIDQIEp4gNAbg/wcxRIBU5TGlRQAAAABJRU5ErkJggg==)
A mass of 6 kg is suspended by a rope of length 2 m form the ceiling . A force of 50 N in the horizental direction is applied at the mid Point P of the rope as shown in figure. what is the angle the rope makes. with the vertical in equilibrium ? (g=10 ms2) Neglect mass of the rope:
![](data:image/png;base64,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)
physicsGeneral
physics
With what acceleration (a) should a bot descend so that a block of mass M placed in it exerts a force
on the floor of the box?
With what acceleration (a) should a bot descend so that a block of mass M placed in it exerts a force
on the floor of the box?
physicsGeneral
physics
Two bodies A and B each of mass m are fixed together by a massless spring A force F acts on the mass B as shown in figure. At the instant shown, a body A has an aceclration a. what is the acceleration of B
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)
Two bodies A and B each of mass m are fixed together by a massless spring A force F acts on the mass B as shown in figure. At the instant shown, a body A has an aceclration a. what is the acceleration of B
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)
physicsGeneral