prove that motion of a system of particles is independent of mutual force
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Show p=p i′ +m i V
Show p=p i′ +m i Vwhere p i is the momentum of the ith particle (of mass m i ) and p i′
i′ =m i v i′
Note v i′ is the velocity of the ith particle relative to the centre of mass.
Note v i′ is the velocity of the ith particle relative to the centre of mass. Also, prove using the definition of the center of mass ∑p i′ =0
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