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Two particles A and B intiallly at rest,...

Two particles A and B intiallly at rest, move towards each other under a mutual force of attraction. AT the instant when the speed of A is v and the speed of B is 2 v, the speed of the centre of mass of the system is

A

`3V`

B

`V`

C

`1.5V`

D

zero

Text Solution

Verified by Experts

The correct Answer is:
D
We know that `F_(ext)=Ma_(CM)`…….i
We consider the two particles in a system. Mutual force of attraction is an internal force. There are no exeternal forces acting on the system. From eqn i we get
`a_(CM)=0`
since initial `v_(CM)=0`, therefore final `v_(CM)=0`
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