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  4. 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

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Q. 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

IIT JEEIIT JEE 1982System of Particles and Rotational Motion

Solution:

As no external force is acting on the system, the centre of mass must be at rest i.e $v_{CM}=0.$