Q.

Two particles A and B initially 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 2v, the speed of the centre of mass of the system is

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a

0

b

V

c

1.5V

d

3V

answer is A.

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Detailed Solution

Initially the COM of the system is at rest. Since no net external force acts on the system, acceleration of COM of the system is zero. Hence at any time, the COM will be at rest.
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Two particles A and B initially 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 2v, the speed of the centre of mass of the system is