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h3.  Multi-Object Systems     [!copyright and waiver^SectionEdit.png!|Momentum (Multi-Object]

The linear form of [Newton's Second Law] when written in terms of momentum implies that it is easily generalized to allow for a [system] consisting of many objects.  Simply add the contributions from all the objects within the system:

{latex}\begin{large}\[ \sum_{\rm sys} \vec{p}_{f} = \sum_{\rm sys} \vec{p}_{i} + \sum_{\rm ext}\vec{J}\]\end{large}{latex}

It is important to realize that although we are now allowing multiple objects within the [system], the relevant [impulse] to add on the right hand side of [Newton's Second Law] is still only the _[external|external force]_ [impulse].  Impulses applied to one [system constituent] by another [system constituent] are canceledend up canceling out of the equation by [Newton's Third Law].