A system of N particles is free from any exte | vedclass

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(B) According to Newton's Second Law,the rate of change of total momentum $\vec{P}$ of a system is equal to the net external force acting on it: $\fra

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It could be non-zero,but it must be constant

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(B) According to Newton's Second Law,the rate of change of total momentum $\vec{P}$ of a system is equal to the net external force acting on it: $\frac{d\vec{P}}{dt} = \vec{F}_{ext}$.Since the system is free from any external forces,$\vec{F}_{ext} = 0$.Therefore,$\frac{d\vec{P}}{dt} = 0$,which implies that the total momentum $\vec{P}$ of the system is constant.Internal forces act in action-reaction pairs and cancel each other out,so they do not change the total momentum of the system.Thus,the total momentum could be non-zero (if the system has an initial velocity),but it must remain constant over time.

$A$ system of $N$ particles is free from any external forces. Which of the following is true for the magnitude of the total momentum of the system?

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