A measure of inelasticity in a head-on collision of two objects is the coefficient of restitution, e,

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A measure of inelasticity in a head-on collision of two objects is the coefficient of restitution, e, defined as

A - въ Пв - А

Where vA = vB is the relative velocity of the two objects after the collision and vB €“ vA is their relative velocity before it.
(a) Show that e = 1 for a perfectly elastic collision, and e = 0 for a completely inelastic collision.
(b) A simple method for measuring the coefficient of restitution for an object colliding with a very hard surface like steel it to drop the object onto a heavy steel plate, as shown in Fig. 7-36. Determine a formula for e in terms of the original height h and the maximum height h reached after one collision.
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