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(D) According to Newton's third law of motion,internal forces always exist in action-reaction pairs,meaning for every force exerted by one part of the

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All of the above.

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(D) According to Newton's third law of motion,internal forces always exist in action-reaction pairs,meaning for every force exerted by one part of the system on another,there is an equal and opposite force exerted back.Mathematically,if $\vec{F}_{ij}$ is the force exerted by particle $j$ on particle $i$,then $\vec{F}_{ij} = -\vec{F}_{ji}$.The total internal force $\vec{F}_{int}$ is the vector sum of all such pairs: $\vec{F}_{int} = \sum \vec{F}_{ij} = 0$.Since the acceleration of the centre of mass is given by $\vec{a}_{cm} = \frac{\vec{F}_{ext} + \vec{F}_{int}}{M}$,and $\vec{F}_{int} = 0$,the internal forces have no effect on the motion of the centre of mass. Therefore,they are neglected.

Why are the internal forces acting on the centre of mass of a system neglected?

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