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A particle of mass m moving with velocit...

A particle of mass m moving with velocity v is collide with a stationary particle of mass 2 m . The speed of the system , after collision will be `……….`

A

`v/2`

B

2v

C

`v/3`

D

3v

Text Solution

Verified by Experts

The correct Answer is:
C

Here `m_(1)=m, v_(1) =v`
`m_(2) =2m, v_(2) =0`
Suppose after collision speed of the system = v
Momentum is conserved in collision of both particles .
` :. M_(1)v_(1)+m_(2)v_(2) =(m_(1)+m_(2))v`
` :. v. = (mv+2mxx0)/(m+2m)`
` :. v = (mv)/(3m)`
` :. v = v/3`
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