(a) Show that in case of one dimensional elastic collision of two bodies, the relative velocity of separation after the collision is equal to the relative velocity of approach before collision. (b) Hence write expressions for the velocities of two bodies in terms of their initial velocities before collision.

Question

TextElastic and Inelastic CollisionsCollisions in One Dimension

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A: Two bodies having mass m1 and m2 collide elastically the net momentum of the system conserves whereas the individual momentums of the particles changes. R: During elastic collision, by Newton's third law of motion force on m1 is exactly equal and opposite to force on m2.

Assertion-ReasonLaw of Conservation of MomentumElastic and Inelastic Collisions

A: In a perfectly inelastic collision kinetic energy of the system is not conserved. R: In a perfectly in elastic collision momentum of the system is conserved.

Assertion-Reason