Two balls of masses `m_(1)` and `m_(2)` are placed on top of one over the other (with a small gap between them) and then dropped on to the ground. What is the ration `m_(1)//m_(2)` for which the upper ball ultimately receives the largest possible fraction of the total energy? Take all collisions as elastic. Neglect air resistance

Two elastic balls of masses M and m (M gt gt m) are placed on top of each other with a small gap between them. The balls are dropped on to the ground with the bottom of the lower ball at height h above the ground. The lower ball has a radius R and the upper ball has negligible dimension. (a) Up to what height the ball of mass m will bounce above the ground ? (b) Does the result obtained above violates the low of conservation of mechanical energy?

Two balls A & B of mass m_(1) and m_(2) are kept on a horizontal smooth surface. A is given a velocity towards B so that they perform head on collision

A rubber ball is dropped on the ground from a height of 1m. What is the height to which the ball will rebound, if the coefficient of restitution between the ball and the ground is 0.8?

A ball of mass m_(1) and another ball of mass m_(2) are dropped from equal height. If the time taken by the balls are t_(1) and t_(2) , respectively, then

Two balls of masses 2m and 6m are thrown in air : one is vertically upwards and other at an angle theta with the vertical. The balls remain in air for the same time . Find the ratio of maximum heights attained by them .

Two balls of masses m_(1) and m_(2) are separated from each other by a powder charge placed between them. The whole system is at rest on the ground. Suddenly the powder charge explodes and masses are pushed apart. The mass m_(1) travels a distance s_(1) and stops. If the coefficients of friction between the balls and ground are same, the mass m_(2) stops after travelling the distance

Two balls of masses 2 m and 6 m are thrown in air : one vertically upwards and other at an angle theta with the vertical . The balls remain in air for the same time . Find the ratio of maximum heights attained by them.

Two balls of masses m_(1), m_(2) and speeds v_(1) and v_(2) collide at right angle . The maximum amount of kinetic energy loss due ot inelastic collision is ___.

Two balls of masses m_(1), m_(2) and speeds v_(1) and v_(2) collide at right angle . The maximum amount of kinetic energy loss due ot inelastic collision is ___.