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Question

# Two balls A and B having masses 1 kg and 2 kg, moving with speeds 21 m/s and 4 m/s respectively in opposite direction, collide head on. After collision A moves with a speed of 1 m/s in the same direction, then :

A
The velocity of B after collision is 6 m/s opposite to the direction before collision
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B
The coefficient of resitution is 0.2
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C
The loss of kinetic energy due to collision is 200 J
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D
The impulse of the force between the two balls is 40 N-s
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Solution

## The correct options are A The velocity of B after collision is 6 m/s opposite to the direction before collision B The coefficient of resitution is 0.2 C The loss of kinetic energy due to collision is 200 J Momentum conservation gives 21−8=1+2v⇒v=6 m/s e=6−121+4=15=0.2 ΔK=12m1m2m1+m2(v1−v2)2(1−e2)=200 J ΔP=(21−1)=20 N-s ∴ (a), (b), (c)

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