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 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 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 pushed momentarily along a horizontal surface with an initial velocity u. If mu_k is the coefficient of kinetic friction between the object and surface, find the time at which the block comes to rest.

A block of mass m is welded with a light spring of stiffness k. The spring is initially relaxed. When the wedge fitted moves with an acceleration a, as shown in figure. 8.60 , the block slides through a maximum distance l relative to the wedge. If the coefficient of kinetic friction between the block and the wedges is mu , find the maximum deformation l of the spirng by using work-energy theorem.

A block of mass m is welded with a light spring of stiffness k. The spring is initially relaxed. When the wedge fitted moves with an acceleration a, as shown in figure. 8.60 , the block slides through a maximum distance l relative to the wedge. If the coefficient of kinetic friction between the block and the wedges is mu , find the maximum deformation l of the spirng by using work-energy theorem.

A block of mass m is pushed with a velocity v_(0) along the surface of a trolley car of mass M . If the horizontal ground is smooth and the coefficient of kinetic friction between the block of plank is mu . Find the minimum distance of relative sliding between the block and plank.

A block of mass m is pushed with a velocity v_(0) along the surface of a trolley car of mass M . If the horizontal ground is smooth and the coefficient of kinetic friction between the block of plank is mu . Find the minimum distance of relative sliding between the block and plank.

A block with mass 0.50 kg is forced against a horizontal spring of negligible mass , compressing the spring a distance of 0.20 m (figure). When released, the block moves on a horizontal table top for 1.00N//m . What is the coefficient of kinetic friction mu _(k) , between the block and the block and the table?

A block of mass m is attached to one end of a mass less spring of spring constant k. the other end of spring is fixed to a wall the block can move on a horizontal rough surface. The coefficient of friction between the block and the surface is mu then the compession of the spring for which maximum extension of the spring becomes half of maximum compression is .