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If the resultant of all the external forces acting on a system of particles is zero, then from an inertial frame, one can surely say that
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linear momentum of the system does not change in time
linear momentum of the system does not change in time
On a system of particles if,
$$
\Sigma \overrightarrow{\mathbf{F}}_{\mathrm{ext} .}=0
$$
then $\quad \overrightarrow{\mathbf{P}}_{\text {system }}=$ constant
No other conclusions can be drawn.
$$
\Sigma \overrightarrow{\mathbf{F}}_{\mathrm{ext} .}=0
$$
then $\quad \overrightarrow{\mathbf{P}}_{\text {system }}=$ constant
No other conclusions can be drawn.
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