Answer:
Let the mass of the ball be m kg and the velocity v m/s Mass of the first ball, \[{{m}_{1}}=m\] Velocity of the first ball,\[{{v}_{1}}=v\] \[\Rightarrow \] Momentum of the first ball, \[{{P}_{1}}={{m}_{1}}{{v}_{1}}\] \[=mv\] Mass of the second ball,\[{{m}_{2}}=m\] Velocity of the second ball,\[{{v}_{2}}=-v\] (Note: - ve sign indicates that the motion of the second ball is in opposite direction with respect to the first ball) \[={{m}_{1}}{{u}_{1}}+{{m}_{2}}{{u}_{2}}\] Momentum of the second ball, \[{{P}_{2}}={{m}_{2}}{{v}_{2}}=m(-v)=-mv\] Total momentum,\[{{P}_{T}}=\]momentum of the first ball\[({{P}_{1}})+\]momentum of the second ball \[({{P}_{2}}).\] \[\Rightarrow {{P}_{T}}={{P}_{1}}+{{P}_{2}}=mv+(-mv)=mv-mv=0\] Therefore, if two balls of equal mass are moving towards each other with the same velocity, then the total momentum of the system is zero.
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