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A particle of mass m moving with velocit...

A particle of mass m moving with velocity v strikes a stationary particle of mass 2m and sticks to it. The speed of the system will be.

A. `v/2`
B. `2v`
C. `v/3`
D. `3v`

A

`v/2`

B

`2v`

C

`v/3`

D

`3v`

Text Solution

Verified by Experts

The correct Answer is:
A, B, C, D
For `vec(v)_(cm), use vec(v)_(cm) = (m_(1)vec(v)_(1) + m_(2) vec(v)_(2) + m_(3) vec(v)_(3))/(m_(1) + m_(2) + m_(3))`
Before, impact, `v_(2) = v_(3) = 0 and v_(1) = u`
Hence (a) is true
Also since `vec(F)_(ext) = 0 rArr vec(a)_(cmt) = 0 rArr vec(v)_(cmt) = u//3`
Always hence (b) is true
For (C), use conservation of moment.
(D) is also true since A + P only movie just after impact.
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