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Question: A particle of mass \('m'\) moving with velocity \('v'\) collides in elastically with a stationary pa...

A particle of mass m'm' moving with velocity v'v' collides in elastically with a stationary particle of mass 2m'2m'. The speed of the system after collision will be

A

v2\frac{v}{2}

B

2v2v

C

v3\frac{v}{3}

D

3v3v

Answer

v3\frac{v}{3}

Explanation

Solution

By the conservation of momentum

mv+2m×0=3mVmv + 2m \times 0 = 3mVV=v3.V = \frac{v}{3}.