Work Energy and Power

Four smooth steel balls of equal mass at rest are free to move along a straight line without friction. The first ball is given a velocity of 0.4 . It collides head on with the second one elastically, the second one similarly with the third and so on. The velocity of the last ball is

Statement I Two particles moving in the same direction do not lose all their energy in a completely inelastic collision.
Statement II Principle of conservation of momentum holds true for all kinds of collisions.

A ball is dropped from a height . If the coefficient of restitution be , then to what height will it rise after jumping twice from the ground

If momentum is increased by 20%, then kinetic energy increases by

A particle falls from a height upon a fixed horizontal plane and rebounds. If is the coefficient of restitution, the total distance travelled before rebounding has stopped is

A spring gun of spring constant 90 is compressed 12 cm by a ball of mass 16 g. If the trigger is pulled, the velocity of the ball is

An -particle of mass suffers one dimensional elastic collision with a nucleus of unknown mass. After the collision the -particle is scattered directly backward losing of its kinetic energy .then the mass of the nucleus is

A bullet of mas moving with velocity strikes a block of mass at rest and gets embedded into it. The kinetic energy of the composite block will be

The power of a water pump is 200 kW. If , then the amount of water it can raise in 1 min to a height of 10 m is

A sphere of mass moving with a constant velocity hits another stationary sphere of the same mass. If is the coefficient of restitution, then the ratio of the velocity of two spheres after collision will be