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Two paricle A and B initially at rest, m...

Two paricle A and B initially at rest, move towards each other under mutual force of attraction. At the instant when the speed of A is V and the speed of B is 2V, 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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Knowledge Check

  • Two particles A and B initially at rest, move towards each other by mutual force of attraction. At the instant when the speed of A is n and the speed of B is 3n , the speed of the centre of mass of the system is

    A
    `3n`
    B
    `2Ns`
    C
    `1.5n`
    D
    `0`

  • Two particles A and B (both initially at rest) start moving 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 2v, the speed of the centre of mass is

    A
    zero
    B
    v
    C
    `(3v)/2`
    D
    `-(3v)/2`

  • Two particles which are initially at rest , move towards each other under the action of their internal attraction . If their speeds are v and 2v at any instant , then the speed of centre of mass of the system will be

    A
    2 v
    B
    zero
    C
    1.5 v
    D
    v