A block of mass M is places in the top of a biggr block of mass 10 M as shown in fig.All the surfaces are frictionless.The system is released from rest.Find the distance moved by the bigger block at the instant the smaller block reaches the ground.
.

A block of mass m is attached to two unstrecthed of spring constant k_1 and k_2 as shown in the figure The block is displaced towards right through a distance x and is released. Find the speed of the block as it passes through the mean position shown.

A bullet of mass M hits a block of mass M'. The transfer of energy is maximum, when

A pair of parallel horizontal conducting rails of negligible resistance shorted at one end is fixed on a table. The distance between the rails is L. A conducting massless rod of resistance R can slide on the rails frictionlessly. The rod is tied to a massless string which passes over a pulley fixed to the edge of the table, A mass m, tied to the other end of the string hanges vertically. A constant magnetic field B exists perpendicular to the table. If the system is released from rest, calculate. the acceleration of the mass at the instant when the velocity of the rod is half the terminal velocity.

A block of mass m moving at a speed v collides with another block of mass 2 m at rest.The lighter block comes to rest after the collision.Find the coefficient of restitution.

A 1 kg block situated on a rough incline is connected to a spring of spring constant 100N m^-1 as shown in Fig. 6.17. The block is released from rest with the spring in the unstretched position. The block moves 10 cm down the incline before coming to rest. Find the coefficient of friction between the block and the incline. Assume that the spring has a negligible mass and the pulley is frictionless.

A block of mass 15 kg is placed on a long trolley. The coefficient of friction between the block and the trolley is 0.18. The trolley accelerate from rest with 0.5 ms^-2 for 20 s and then moves with unifrom velocity. Discuss the motion of the block as viewd by an observer with the trolley.

A block of mass 1 kg is pushed up a surface inclined to horizontal at ang angle of 30^@ by a force of 10 N parallel to the inclined surface in the figure. shows . The coefficient of friction between bock and the incline is 0.1. If the block is pushed up by 10 m along the incline, calculate work done against gravity

A block of mass 1 kg is pushed up a surface inclined to horizontal at ang angle of 30^@ by a force of 10 N parallel to the inclined surface in the figure. shows . The coefficient of friction between bock and the incline is 0.1. If the block is pushed up by 10 m along the incline, calculate work done against force of friction

A block of mass 1 kg is pushed up a surface inclined to horizontal at ang angle of 30^@ by a force of 10 N parallel to the inclined surface in the figure. shows . The coefficient of friction between bock and the incline is 0.1. If the block is pushed up by 10 m along the incline, calculate increase in potential energy

A block of mass 1 kg is pushed up a surface inclined to horizontal at ang angle of 30^@ by a force of 10 N parallel to the inclined surface in the figure. shows . The coefficient of friction between bock and the incline is 0.1. If the block is pushed up by 10 m along the incline, calculate work done by applied force.