Question
A body $A$ of mass $M$ while falling vertically downwards under gravity breaks into two parts; a body $B$ of mass $\frac{2}{3} M$. The centre of mass of bodies $B$ and $C$ taken together shifts compared to that of body $A$ towards

Answer

Since, the acceleration of centre of mass in both the cases is same equal to $g$. So the centre of mass of the bodies $B$ and $C$ taken together does not shift compared to that of body $A$.

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