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Q.

A body of mass m moving with a constant velocity v hits another body of the same mass moving with the same velocity v but in the opposite direction and sticks to it. If another body is at rest, then velocity of the compound body after collision is

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a

v2

b

2v

c

v

d

zero

answer is A.

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Detailed Solution

If initially second body is at rest then Initial momentum = mvFinal momentum = 2mv'By conservation of momentum 2mV'=mv⇒V'=v2
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A body of mass m moving with a constant velocity v hits another body of the same mass moving with the same velocity v but in the opposite direction and sticks to it. If another body is at rest, then velocity of the compound body after collision is