ball A having a mass 0.05 kg moving to the right at velocity of 0.50 m/sec makes an headon collision with a ball B of having amass of 0.20 kg that is initally at rest after the colliion ball a moves to the left at 0.30 m/sec find the final velocity of ball
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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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