Two spheres of masses 2M and M are initially | vedclass

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(A) The acceleration of the center of mass of a system is given by the formula $a_{cm} = \frac{F_{ext}}{M_{total}}$.In this system,the two spheres are

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(A) The acceleration of the center of mass of a system is given by the formula $a_{cm} = \frac{F_{ext}}{M_{total}}$.In this system,the two spheres are moving towards each other due to their mutual gravitational force of attraction.Since the gravitational force is an internal force for the system consisting of both spheres,the net external force acting on the system is zero $(F_{ext} = 0)$.Therefore,the acceleration of the center of mass of the system is $a_{cm} = 0/M_{total} = 0 \ m/s^2$.

Two spheres of masses $2M$ and $M$ are initially at rest at a distance $R$ apart. Due to mutual force of attraction,they approach each other. When they are at a separation $R/2$,the acceleration of the centre of mass of the system would be ....... $m/s^2$.

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