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A body A of mass M while falling wertica...

A body A of mass M while falling wertically downwards under gravity brakes into two parts, a body B of mass `(1)/(3)` M and a body C of mass `(2)/(3)` M. The center of mass of bodies B and C taken together shifts compared to that of body A towards

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The centre of mass of `B` and `C` does not shift compared to the centre of mass of `A`. It continues to move vertically downwards under gravity. This is because no new external force is involved in this case.
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