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Q.

A body X with a momentum p collides with another identical stationary body Y one dimensionally. During the collision Y gives an impulse J to body X. Then coefficient of restitution is:

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a

2Jp-1

b

Jp+1

c

Jp-1

d

J2p-1

answer is A.

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Detailed Solution

u1 = pm, u2 = 0,   v1 = (p-J)m, v2 = JmNow apply e = = v2-v1u1-u2=2Jp-1
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A body X with a momentum p collides with another identical stationary body Y one dimensionally. During the collision Y gives an impulse J to body X. Then coefficient of restitution is: