An object A of mass M is falling vertically d | vedclass

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(D) The object $A$ is falling under the influence of gravity,which is an external force acting on the system. However,the breaking of the object into

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Will not be displaced

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(D) The object $A$ is falling under the influence of gravity,which is an external force acting on the system. However,the breaking of the object into two parts $B$ and $C$ is caused by internal forces.According to the property of the center of mass,internal forces do not change the position or the motion of the center of mass of a system.Since the external force (gravity) acts on the system as a whole,the center of mass of the combined parts $B$ and $C$ will continue to follow the same trajectory as the original object $A$.Therefore,the center of mass will not be displaced relative to the path of the original object $A$.

An object $A$ of mass $M$ is falling vertically downwards under the influence of gravity. It breaks into two parts: part $B$ of mass $\frac{1}{3}M$ and part $C$ of mass $\frac{2}{3}M$. The center of mass of the combined parts $B$ and $C$ will be displaced relative to object $A$ in which direction?

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