The coefficient of restitution e for a perfec | vedclass

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(B) The coefficient of restitution $e$ is defined as the ratio of the relative velocity of separation to the relative velocity of approach of the coll

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(B) The coefficient of restitution $e$ is defined as the ratio of the relative velocity of separation to the relative velocity of approach of the colliding bodies.In a perfectly inelastic collision,the two bodies stick together after the collision and move with a common velocity.Since the bodies move together,the relative velocity of separation is $0$.Therefore,the coefficient of restitution $e = \frac{	ext{Relative velocity of separation}}{	ext{Relative velocity of approach}} = \frac{0}{v_{approach}} = 0$.

The coefficient of restitution $e$ for a perfectly inelastic collision is

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