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Two billiard balls, each of mass 0.05 kg moving in opposite
directions with speed oms' collide
and rebound with the same velocity. What is the impulse imparted to each ball due to the other?
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Explanation:
Mass of each ball =0.05kg
Initial velocity of each ball =6m/s
Magnitude of the initial momentum of each ball, P
i
=mv
i
=0.05×6=0.3 kg m/s
After collision, the balls change their directions of motion without changing the magnitudes of their velocity.
Final momentum of first ball, P
1f
=−0.3 kg m/s
Final momentum of second ball, P
2f
=0.3 kg m/s
Impulse imparted to first ball = P
1f
−P
1i
=−0.3−0.3 kg m/s=−0.6 kg m/s
Impulse imparted to second ball = P
2f
−P
2i
=0.3−(−0.3)=0.6 kg m/s
The negative sign indicates that the impulses imparted to the balls are opposite in direction.
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