Two particles A and B initially at rest move | vedclass

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(D) The system consists of two particles $A$ and $B$ moving under a mutual force of attraction. Since there is no external force acting on the system,

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(D) The system consists of two particles $A$ and $B$ moving under a mutual force of attraction. Since there is no external force acting on the system,the net external force $F_{ext} = 0$. According to the law of conservation of momentum for the centre of mass,if the net external force is zero,the velocity of the centre of mass remains constant. Initially,both particles $A$ and $B$ are at rest,so the initial velocity of the centre of mass $v_{cm, initial} = 0$. Since the velocity of the centre of mass remains constant,the velocity of the centre of mass at any instant,including when the velocities of $A$ and $B$ are $v$ and $2v$ respectively,will be $0$.

Two particles $A$ and $B$ initially at rest move towards each other under a mutual force of attraction. At the instant when the velocity of $A$ is $v$ and that of $B$ is $2v$,the velocity of the centre of mass of the system is:

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