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Question

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

A
1
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B
0
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C
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D
-1
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Solution

The correct option is B 0

The Coefficient of Restitution is a measure of the "bounciness" of a collision between two objects: how much of the kinetic energy remains for the objects to rebound from one another vs. how much is lost as heat, or work done deforming the objects.

The coefficient, e is defined as the ratio of relative speeds after and before an impact, taken along the line of the impact:
e=Speed of separationSpeed of approach

The bodies stick together in perfectly inelastic collision and move together hence velocity of separation is zero.

(i) For perfectly elastic collision e=1
(ii) For perfectly inelastic collision e=0
(iii) For other collision 0<e<1


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