A block of mass `2 kg` is on a smooth horizontal surface. A light of force constant `800 N//m` has one end rigidly attached to a vertical wall and lying on that horizontal surface. Now the block is moved towards the wall compressing the spring over a distance f `5 cm` and then suddenly released. By the time the spring regains its natural length and looses contact with the block, the velocity acquired by the block will be

A light spring of force constant 'K' is held between two blocks of masses 'm' and '2m'. The two blocks and the spring system rests on a smooth horizontal floor. Now th blocks are moved towards each other compressing the springs by 'x' and suddenly released. The relative velocity between the blocks when the spring attains its natural length will be

A block of mass m moving with velocity v_(0) on a smooth horizontal surface hits the spring of constant k as shown. The maximum compression in spring is

A block of mass m moving with velocity v_(0) on a smooth horizontal surface hits the spring of constant k as shown. Two maximum compression in spring is

Two blocks A and B of mass m and 2m are connected together by a light spring of stiffness k . The system is lying on a smooth horizontal surface with block A in contact with a fixed vertical wall as shown in the figure. The block B is pressed towards the wall by a distance x_0 and then released. There is not friction anywhere. If spring takes time Deltat to aquire its natural length then average force on the block A by the wall is

Two blocks A and B of mass m and 2m are connected together by a light spring of stiffness k . The system is lying on a smooth horizontal surface with block A in contact with a fixed vertical wall as shown in the figure. The block B is pressed towards the wall by a distance x_0 and then released. There is not friction anywhere. If spring takes time Deltat to aquire its natural length then average force on the block A by the wall is

Figure shown a block P of mass m resting on a smooth horizontal surface, attached to a spring of force constant k which is rigidly fixed on the wall on left side, shown in the figure . At a distance l to the right of the block there is a rigid wall. If block is pushed towards left so that spring is compressed by a distance 5l//3 and when released, if will starts its oscillations. If collision of block with the wall is considered to be perfectly elastic. Find the time period of oscillation of the block.

One end of a spring of force constant k is fixed to a vertical wall and the other to a blcok of mass m resting on a smooth horizontal surface. There is another wall at distance x_(0) from the block. The spring is then compressed by 2x_(0) and released. The time taken to strike the wall is

One end of a spring of force constant k is fixed to a vertical wall and the other to a blcok of mass m resting on a smooth horizontal surface. There is another wall at distance x_(0) from the block. The spring is then compressed by 2x_(0) and released. The time taken to strike the wall is

One end of a spring of force constant k is fixed to a vertical wall and the other to a blcok of mass m resting on a smooth horizontal surface. There is another wall at distance x_(0) from the block. The spring is then compressed by 2x_(0) and released. The time taken to strike the wall is

One end of a light spring constant k and natural length l_(0) is fixed and the other end is attached to a block of mass m lying on smooth horizontal surface. If the block is rotating in the horizontal circle of radius l , find the frequency of the revolution.