Two bodies of masses M and 4M initially at re | vedclass

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(A) The centre of mass of a system moves according to the net external force acting on the system.In this problem,the two bodies are moving towards ea

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zero

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(A) The centre of mass of a system moves according to the net external force acting on the system.In this problem,the two bodies are moving towards each other due to their mutual gravitational attraction,which is an internal force.Since there is no external force acting on the system of the two bodies,the net external force $F_{ext} = 0$.According to the property of the centre of mass,if the net external force on a system is zero,the acceleration of the centre of mass is zero $(a_{cm} = 0)$.Since the bodies are initially at rest,the initial velocity of the centre of mass is $v_{cm, initial} = 0$.Because the acceleration of the centre of mass is zero,its velocity remains constant over time.Therefore,the velocity of the centre of mass at any instant,including when the first body attains a velocity $v_0$,will remain $0$.

Two bodies of masses $M$ and $4M$ initially at rest,start moving towards each other due to their mutual attraction. The velocity of their centre of mass when the first body attains a velocity $v_0$ is

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