A block of mass m is connected rigidly with a smooth wedge (plank) by a light spring of stiffness k. If the wedge is moved with constant velocity `v_0`, find the work done by the external agent till the maximum compression of the spring.

A block of mass m is connected with a rigid wall by light spring of stiffness k . Initially the spring is relaxed. If the block is pushed with a velocity v_0 , it oscillates back and forth and stops. Assuming mu as the coefficient of kinetic friction between block and ground, find the work done by friction till the block stops.

A block of mass m is connected with a rigid wall by light spring of stiffness k . Initially the spring is relaxed. If the block is pushed with a velocity v_0 , it oscillates back and forth and stops. Assuming mu as the coefficient of kinetic friction between block and ground, find the work done by friction till the block stops.

A block of mass m is slowly lowered from a point where it just touches a vertical fixed spring of stiffness k, till it remains stationary after the applied force is withdrawn. Find the work done by the external agent(a) in compressing the spring by a distance x and (b) bringing the block to its stable equilibrium position.

A block of mass m is slowly lowered from a point where it just touches a vertical fixed spring of stiffness k, till it remains stationary after the applied force is withdrawn. Find the work done by the external agent(a) in compressing the spring by a distance x and (b) bringing the block to its stable equilibrium position.

A block of mass m is placed at the bottom of a massless smooth wedge which if placed on a horizontal surface. When we push the wedge with a constant force, the block moves up the wedge. Find the work done by the external agent when the block has a speed v and is reaches the top of the wedge.

A block of mass m is placed at the bottom of a massless smooth wedge which if placed on a horizontal surface. When we push the wedge with a constant force, the block moves up the wedge. Find the work done by the external agent when the block has a speed v and is reaches the top of the wedge.

A block of mass 'm' is attached to a spring in natural length of spring constant 'k' . The other end A of the spring is moved with a constat velocity v away from the block . Find the maximum extension in the spring.

A sphere of mass m and radius R rolls without sliding on a horizontal surface. It collides with a light spring of stiffness K with a kinetic energy E . If the surface ( AB ) under the spring is smooth, find the maximum compression of the spring.

A sphere of mass m and radius R rolls without sliding on a horizontal surface. It collides with a light spring of stiffness K with a kinetic energy E . If the surface ( AB ) under the spring is smooth, find the maximum compression of the spring.

A block of mass m is suddenly released from the top of a spring of stiffness constant k. a. Find the acceleration of block just after release. b. What is the compression in the spring at equilibrium. c. What is the maximum compression in the spring. d. Find the acceleration of block at maximum compression in the spring.