Turito Academy

Test Prep

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When block strikes the spring, the kinetic energy of block converts into potential energy of spring ie, <img src="data:image/png;base64,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" class="Wirisformula" alt="fraction numerator 1 over denominator 2 end fraction m v to the power of 2 end exponent equals fraction numerator 1 over denominator 2 end fraction k x to the power of 2 end exponent" width="113" height="35" style="vertical-align:-12px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨ »«mfrac»«mrow»«mn»1«/mn»«/mrow»«mrow»«mn»2«/mn»«/mrow»«/mfrac»«mi»m«/mi»«msup»«mrow»«mi»v«/mi»«/mrow»«mrow»«mn»2«/mn»«/mrow»«/msup»«mo»=«/mo»«mfrac»«mrow»«mn»1«/mn»«/mrow»«mrow»«mn»2«/mn»«/mrow»«/mfrac»«mi»k«/mi»«msup»«mrow»«mi»x«/mi»«/mrow»«mrow»«mn»2«/mn»«/mrow»«/msup»«/math»'/> Or <img src="data:image/png;base64,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" class="Wirisformula" alt="x equals square root of fraction numerator m v to the power of 2 end exponent over denominator k end fraction end root" width="84" height="47" style="vertical-align:-17px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨ »«mi»x«/mi»«mo»=«/mo»«msqrt»«mfrac»«mrow»«mi»m«/mi»«msup»«mrow»«mi»v«/mi»«/mrow»«mrow»«mn»2«/mn»«/mrow»«/msup»«/mrow»«mrow»«mi»k«/mi»«/mrow»«/mfrac»«/msqrt»«/math»'/> <img src="data:image/png;base64,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" class="Wirisformula" alt="equals square root of fraction numerator 25 cross times 3 to the power of 2 end exponent over denominator 100 end fraction end root square root of fraction numerator 9 over denominator 4 end fraction end root equals fraction numerator 3 over denominator 2 end fraction equals 1.5 blank m" width="225" height="47" style="vertical-align:-17px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨ »«mo»=«/mo»«msqrt»«mfrac»«mrow»«mn»25«/mn»«msup»«mrow»«mo»×«/mo»«mn»3«/mn»«/mrow»«mrow»«mn»2«/mn»«/mrow»«/msup»«/mrow»«mrow»«mn»100«/mn»«/mrow»«/mfrac»«/msqrt»«msqrt»«mfrac»«mrow»«mn»9«/mn»«/mrow»«mrow»«mn»4«/mn»«/mrow»«/mfrac»«/msqrt»«mo»=«/mo»«mfrac»«mrow»«mn»3«/mn»«/mrow»«mrow»«mn»2«/mn»«/mrow»«/mfrac»«mo»=«/mo»«mn»1.5«/mn»«mi» «/mi»«mi»m«/mi»«/math»'/> When block returns to the original position, again potential energy converts into kinetic energy of the blocks, so velocity of the block is same as before but its sign changes as it goes to mean position. <img src="data:image/png;base64,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" class="Wirisformula" alt="H e n c e v equals negative 3 m s to the power of negative 1 end exponent" width="144" height="17" style="vertical-align:-1px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨ »«mi»H«/mi»«mi»e«/mi»«mi»n«/mi»«mi»c«/mi»«mi»e«/mi»«mi»v«/mi»«mo»=«/mo»«mo»-«/mo»«mn»3«/mn»«mi»m«/mi»«msup»«mrow»«mi»s«/mi»«/mrow»«mrow»«mo»-«/mo»«mn»1«/mn»«/mrow»«/msup»«/math»'/>

A block of mass <img src="data:image/png;base64,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" class="Wirisformula" alt="m equals 25" width="53" height="13" style="vertical-align:-1px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨ »«mi»m«/mi»«mo»=«/mo»«mn»25«/mn»«/math»'/>kg sliding on a smooth horizontal surface with a velocity <img src="data:image/png;base64,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" class="Wirisformula" alt="v equals 3 m s to the power of negative 1 end exponent" width="79" height="17" style="vertical-align:-1px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨ »«mi»v«/mi»«mo»=«/mo»«mn»3«/mn»«msup»«mrow»«mi»m«/mi»«mi»s«/mi»«/mrow»«mrow»«mo»-«/mo»«mn»1«/mn»«/mrow»«/msup»«/math»'/> meets the spring of spring constant <img src="data:image/png;base64,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" class="Wirisformula" alt="k equals 100 N m to the power of negative 1 end exponent" width="104" height="17" style="vertical-align:-1px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨ »«mi»k«/mi»«mo»=«/mo»«mn»100«/mn»«msup»«mrow»«mi»N«/mi»«mi»m«/mi»«/mrow»«mrow»«mo»-«/mo»«mn»1«/mn»«/mrow»«/msup»«/math»'/> fixed at one end as shown in figure. The maximum compression of the spring and velocity of block as is returns to the original position respectively are <img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAARYAAACOCAYAAAD0DyfVAAANa0lEQVR4nO3dQWzb1h0G8M9D0eQyUO7FRxJKU+cUq2iA3kIacLajDQwOemgrFtjkHFZIxTb40GSi0Q5wTmbWk7IBktdbfLCDHm1AVG8bIljprUBt0+0lwYpKxi5JUYA7OHomZSuWnL9ESf5+gBFZfiZfYP8/8z2Sj2NBEAQgopHi+z583wcAGIYBwzD6uv9f9XVvRNQXpVIJ09PTmJ6eRqlU6vv+GSxEJI7BQkTiGCxEJI7BQkTiGCxEJI7BQkTiGCxEJI7BQkTiGCxEJI7BQkTiGCxEJO61uDtARL3l+z48zxPZViqVQiKROLUdg4VoxK2urmJ1dVVkW+VyGZZlndqOQyEiEscjFqIRp+u62HosnQyDAAYL0cizbRuO4/R1nxwKEZE4BgsRiWOwEJE4BgsRiWOwEJE4BgsRiWOwEJE4BgsRiWOwEJE4BgsRiWOwEJE4BgsRiWOwEJE4BgsRieOyCUQjzvM8sWUTbNvuaG0XBgvRiKtUKqhUKiLbsiyro2DhUIiIxPGIhWjEmabZ0QLYneh0iUsGC9GIsyyLS1MS0fBjsBCROAYLEYljsBCROAYLEYljsBCROAYLEYljsBCROAYLEYljsBCROAYLEYljsBCROAYLEYljsBCROAYL0YhbWlrC2NiYyIfneR3tk8FCROIYLEQkjsFCNOLy+TyCIBD56HSJSwYLEYljsBCROAYLEYljsBCROAYLEYljsBCROAYLEYljsBCROAZLjzUaB3jzrUl89vnn2N/fj7s7RH3BYOmxREKDef06Pvv8b7g8eQW/m7+Jytdfx90top5isPTBX+/cVq+/+uor3PjNb/HmW5P415dfotE4iLFnRL3BYOmC53lnutXcMAz8+uKFyLa+//57/P4PGVyenMSf/vwXDpNopDBYBkAiocXdBRKwsLCg/pjcuHEj7u7EisHSBcuyznRHaK32GP979jyyratXr+Kf/7iP/z59gju3b0PX9Zj+VySlUChgfHw87m4MhNfi7sB58PcvvlCvP3j/fXz44Qcwr1+PsUfUK+Pj46jX63F3I8L3/Y5XfjtNKpVCIpE4tR2DpccajQM8/uYb3Ln9KT7+48cc9lDfra6uYnV1VWRb5XK5ozVZOBTqsURCw6P//Bt3bt9mqJxDd+/ejUzkb21txd2lvuARC1EPZTIZrK2tYWZmBouLi7HMwei6DsMwRLbVyTAIYLAQ9Uy1WsXNmzexvLyM+fn52Pph2zYcx+nrPjkUIuqB3d1dXLt2Dbu7u6hWq3F3p+8YLK/g/v37xy6Ga33//v37MfeS4vLgwQMAh/Ms5y1cGCyvIJPJoFAoqM+brzOZDJaXl7G5uYlMJhNX9yhGyWQS8/PzWFxcBHB48dygnYbuJQbLK8pkMpiZmQGAyNFJvV5X79P50QyP5r/Ly8tIJpOoVqu4cePGuQkXTt4KmJ+fx9bWFqrVKra2tlCv1/HOO+/E3S3qs/BRSbVaxd27dzE+Po7d3V313rVr17CzsxNnN/uCRywCMpmMOo24traGarUa61kAikehUIjcyrG4uIhMJhN57zyECsBgEdOcS1lbW+P9InTuMViENIOlXq/zaIXOPc6xCEkmk5iZmcH4+DiSyWTc3SGKVSzB4vs+fN+PY9dnZhjGqZdFb25u9qk3RIMtlmAplUpYWlqKY9dnls/n+35ZNNGw4hwLEYmLfY5F8s5Lab7vcy1aojOIPVjiuPOyU47jDN2QjbpXq9WwsbEB4HBZgLm5ucgfO8/zUCqV1LygYRhwHCfSxvd9uK6LWq3Wtg0AtZ1arYZUKgXbtiNtGo2G2gaAjhZVGkSxBwtRXBqNBubm5lCpVCLvO44Dx3GQy+Vg2/ax1dcqlQpWV1dRLBZh2zZc18Unn3xyYpvm3JznebBtO3IE/PDhQywtLSGfzyOXy8FxHNy7dy+yHU3T4LoubNs+8/+zVCqJLU3pui5SqdTpDYMY5PP5AEAAIMjn83F0oSPD0k/qXr1eD6amptTP96QPXddf+nUAgWmaIm00TXvp14vFYlf/v/DvruRHuVzuaP+cvKVzyXVdPH78WH0+OzuLfD4feVpC+OjCNE2Uy2Wsr69H2oSPdnRdx/r6OtbX1zE1NXViG03TkM1msbKyEtnOwcFBZDumaULTjpYy/eijj4bqEg0OhejcaTQacF1XfZ5Op1EqlQAAuVwOly5dwk8//aS+/vbbb0eGEpZl4fLly/jxxx/VexMTE6jVamrpRsuycPXqVfzwww+qzeuvvw7P89RQwrbtY20uXbqE7777TvXTsiwVgI7jqH52I51Ov9JQKqyjYRAYLHQOlUoldYSg63qkWGu1WiRUAGB7exu+76tJ1lqtFgkVAHj69Cl831eF12g0IoEBAD///DMajYb6/KQ2Ozs78DwPlmUhkUjAdV1MT08DOFxt33XdjtedbTIMo++TwBwK0bkTPvrI5XKRr4WPZNq93+6oIdym3ZnOcJtO9mVZVmTIFD5jNMgYLHTutA5rwh4+fKheZ7NZ9bp5Orr1dbs24X2E24TfD7/O5/Mn9qG1j1Jnd3qNQyEaCd0c6ocnSsNzBuGi1XU9cvq3OZFbq9XU9zdPBTfbHBwcqKFOeOLXdV01/Do4OFDXsIQnj3O5HEqlkvq+5nAIQGT41Omp47gnersKloWFBbX8YjKZxPLyslo1a2ZmBg8ePMDCwgLW1tYAHK6s1lxQmKiXWq9FeVWGYSCRSEDX9UiohIu8GUqmaar9tw5VmmeHUqmUatN6EZymaUgkEjAM49Qrvff394fiavCuhkKFQkEtubi7u4t6va5WxNra2sIbb7yBarWqFpVeW1tTIUM0jFqviu1Wu4nWkwIqvK9w8HQ7WTsIuh4KNVdHSyaTx1agTyaTx5YOaK73SdRL5XI57i68snDYhMPEcZyuTxeXSiWx5zWfhegcy8zMDJLJJMOE+q5Xp1PDRw6GYZw4d/GyI5l2cx3ho5PwEOmkr3eyFlCruCd5OXlL9EL4KKFWq8H3/chEb2txVyoVNBqNyCRsa8Dt7++j0WhE5oBOCormjYkn9WUY8XQz0QupVEpdRn9wcBAZfjQnYQ3DiFxXMjc3p16H3w9f0h9uo2maChXTNNX7uVwucrap0ytcB1XXwdL6QKbwA5iar8NDofPygCYaDeEQCB9lhEMmfFTSrk277YTfD78OX7sSfn9odXPHZCaTidzpmMlkgmQyeew9tNwRubm52fbOy0G+a3hY+kly9vb2TrzzuF6vR9q03o3c2qZer5/YZm9v76VtAETanFXcv7tdn24OQg9fKhQK2NnZOfZe+PMgCPioURoahmGgWCyqIZGu6/A8LzLnYRgGXNdVbTRNw8bGRqRNIpHAxsZGpI3rupG5lUQiAc/zIm2KxeLArqjYDU7eErWwbRu2basrZM/axrIsdTFcuzapVOrUNsOIk7dEbXRS6P1sM0wYLEQjbmlpCWNjYyIfnV4fw2AhInEMFiISx2AhGnH5fP7YmdqzfnR66wSDhYjEMViISByDhYjEMViISByDhYjEMViISByDhYjEMViISByDhYjEMViISByDhYjEjb1Ywq6vPM9T64Dquj6wK2b5vq+eOmeaZs8eMUEkLVxj/f7dtSwLYzhcF5OISEQ+n+dQiIjkvZbP57v+Jtd11TNQJicn8d5773X1/b7vn/iEuCdPnuDbb79Vn7/77ru4ePFi1/1r9csvv+DRo0d4/vw5AGBiYgJXrlzpahvtnkYXPuS8cOECcrmcSJ+fPXsG13VVnyUPZzc2NtRDtjRNw61bt0T63Gg0cO/ePfX57Oys2JKLpVJJDUsnJiZw69Ytke36vh95FGk6nRYbmof7rOt6149JbadWq0UeF5LNZo894CzuoVBXj/8IgiAoFovijyoIgsNHIei6rrabTqdFthsE0UchtD6m4VW0Pr5B8jEL6XRabVfXdbE+tz7eolgsimw3CIJgdnZWbXdqakpsu+VyOdLncrkstm3TNNV2TdMU225rnWxvb4ttu5M6ifvxH10FC4s/atiLX9d1se2y+KP6VSft/rAPVbAMY/Fns9me9JnFH8XiP7KystKzo/pO62RogoXFH8XiP7K+vs7if6GXddLNH/ahCZZhLP7WoYqUUSh+yT6z+I/06qi+tU5WVlY67sfABssoFP/6+rrYtln8R3o5mT+Mxd+v+bzTDEWwsPiPsPiPsPijelUn29vbXf9hH/hgGcbi7+VQZdiLP5vNimw3CFj8Yb08qj9LnQx8sAx78c/Ozoptl8V/pJ+n8aX0q/gH4RqegQ4WFv8RFn8Ui/9IL+tkamrqTH/YBzpYwj8IyeJvnaeQKv4giP4genWGQrL4gyDoyzyF5AV89Xq9Z8UfDizJ4m+dp5As/vClB72cz+umTgY6WOr1uuqgZPEHwWHK67ouWvxBcNjndDotXvxBcHg0pOu6+A9qb28vSKfTosXfVCwWA03TRIs/CA77bJqmaPEHwdHvnKZposUfBIe/c6ZpihZ/EET7LHkNTxAc9nlqaqrrOok7WMaCIAhARCPFcRwsLS0BOFzGwHGcvu6fyyYQkTgGCxGJY7AQkbj/Ax1nbkoOp9PBAAAAAElFTkSuQmCC" alt="" width="256" height="131" />

Solution for the question - a block of mass m=25 kg sliding on a smooth horizontal surface with avelocity v=3" "ms^(-1) meets the spring of spring constant k=10