A block of mass m is initially moving to the right on a horizontal frictionless surface at a speed v. It then compresses a spring of spring constant k. At the instant when the kinetic energy of the block is equal to the potential energy of the spring, the spring is compressed a distance of :

The potential energy of a spring ……………. when it is compressed .

A block of mass 4 kg slides on a horizontal frictionless surface with a speed of 2m//s . It is brought to rest in compressing a spring in its path. If the force constant of the spring is 400 N//m , by how much the spring will be compressed

In figure, a block A of mass 2kg is moving to the right with a speed 5m//s on a horizontal frictionless surface. Another block B of mass 3kg a massless spring of spring constant 222N//m attached to it, is moving to the left on the same surface and with a speed 2m//s . Let us take the direction to the right as the positive X- direction. At some instant, block A collides with the spring attached to block B . At some other instant , the spring has maximum compression and then, finally, blocks move with their final velocities. Assuming that (i) the spring force is conservative and so there is no conversion of kinetic energy to internal energy and (ii) , no sound is made when block A hits the spring, answer the following questions. When the blocks are yet to attain their final velocities, in this situation at any instant when block A is moving with a velocity 4 hat(i) m//s , velocity of block B will then be :

In figure, a block A of mass 2kg is moving to the right with a speed 5m//s on a horizontal frictionless surface. Another block B of mass 3kg a massless spring of spring constant 222N//m attached to it, is moving to the left on the same surface and with a speed 2m//s . Let us take the direction to the right as the positive X- direction. At some instant, block A collides with the spring attached to block B . At some other instant , the spring has maximum compression and then, finally, blocks move with their final velocities. Assuming that (i) the spring force is conservative and so there is no conversion of kinetic energy to internal energy and (ii) , no sound is made when block A hits the spring, answer the following questions. When the blocks are yet to attain their final velocities, in this situation at any instant when block A is moving with a velocity 4 hat(i) m//s , velocity of block B will then be :

In figure, a block A of mass 2kg is moving to the right with a speed 5m//s on a horizontal frictionless surface. Another block B of mass 3kg a massless spring of spring constant 222N//m attached to it, is moving to the left on the same surface and with a speed 2m//s . Let us take the direction to the right as the positive X- direction. At some instant, block A collides with the spring attached to block B . At some other instant , the spring has maximum compression and then, finally, blocks move with their final velocities. Assuming that (i) the spring force is conservative and so there is no conversion of kinetic energy to internal energy and (ii) , no sound is made when block A hits the spring, answer the following questions. In the collision process, while the spring is getting compressed :

In figure, a block A of mass 2kg is moving to the right with a speed 5m//s on a horizontal frictionless surface. Another block B of mass 3kg a massless spring of spring constant 222N//m attached to it, is moving to the left on the same surface and with a speed 2m//s . Let us take the direction to the right as the positive X- direction. At some instant, block A collides with the spring attached to block B . At some other instant , the spring has maximum compression and then, finally, blocks move with their final velocities. Assuming that (i) the spring force is conservative and so there is no conversion of kinetic energy to internal energy and (ii) , no sound is made when block A hits the spring, answer the following questions. Maximum compression of the spring in the collision will be nearly

In figure, a block A of mass 2kg is moving to the right with a speed 5m//s on a horizontal frictionless surface. Another block B of mass 3kg a massless spring of spring constant 222N//m attached to it, is moving to the left on the same surface and with a speed 2m//s . Let us take the direction to the right as the positive X- direction. At some instant, block A collides with the spring attached to block B . At some other instant , the spring has maximum compression and then, finally, blocks move with their final velocities. Assuming that (i) the spring force is conservative and so there is no conversion of kinetic energy to internal energy and (ii) , no sound is made when block A hits the spring, answer the following questions. In the collision process, while the spring is getting compressed :

In figure, a block A of mass 2kg is moving to the right with a speed 5m//s on a horizontal frictionless surface. Another block B of mass 3kg a massless spring of spring constant 222N//m attached to it, is moving to the left on the same surface and with a speed 2m//s . Let us take the direction to the right as the positive X- direction. At some instant, block A collides with the spring attached to block B . At some other instant , the spring has maximum compression and then, finally, blocks move with their final velocities. Assuming that (i) the spring force is conservative and so there is no conversion of kinetic energy to internal energy and (ii) , no sound is made when block A hits the spring, answer the following questions. Maximum compression of the spring in the collision will be nearly

In figure, a block A of mass 2kg is moving to the right with a speed 5m//s on a horizontal frictionless surface. Another block B of mass 3kg a massless spring of spring constant 222N//m attached to it, is moving to the left on the same surface and with a speed 2m//s . Let us take the direction to the right as the positive X- direction. At some instant, block A collides with the spring attached to block B . At some other instant , the spring has maximum compression and then, finally, blocks move with their final velocities. Assuming that (i) the spring force is conservative and so there is no conversion of kinetic energy to internal energy and (ii) , no sound is made when block A hits the spring, answer the following questions. In previous question, at the given instant, compression will be nearly :

A block of mass m is moving with a speed v on a horizontal rought surface and collides with a horizontal monted spring of spring constant k as shown in the figure .The coefficient of friction between the block and the floor is mu The maximum cobnpression of the spring is