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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. The velocity of the compound body after collision is

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a

v

b

2v

c

Zero

d

v/2

answer is C.

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Detailed Solution

Initial momentum of the system = mv−mv=0As body sticks together ∴ final momentum = 2mVBy conservation of momentum 2mV = 0 ∴ V = 0
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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. The velocity of the compound body after collision is