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Multi-Object Systems 
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:
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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
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is
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important
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to
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realize
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that
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although
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we
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are
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now
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allowing
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multiple
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objects
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within
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the
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,
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the
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relevant
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to
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add
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on
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the
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right
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hand
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side
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of
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...
...
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is
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still
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only
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the
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.
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Impulses
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applied
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to
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one
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...
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by
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another
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end
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up
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canceling
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out
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of
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the
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equation
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by
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.
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It
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is
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also
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worth
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noting
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that
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technically
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the
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concept
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of
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linear
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applies
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only
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to
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collections
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of
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.
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The
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momentum
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of
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a
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,
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then,
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must
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technically
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be
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thought
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of
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as
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the
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sum
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of
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the
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of
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each
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of
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the
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atoms
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in
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the
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body.
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This
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sum
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turns
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out
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to
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be
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the
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body's
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times
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its
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.
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The
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of
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a
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composed
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of
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many
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...
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and
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...
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is
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then
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the
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sum
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of
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their
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individual
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momenta,
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which
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again
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can
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be
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expressed
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as
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the
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total
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of
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this
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times
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the
...
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of
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the
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.
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