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Question

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

A
The velocity of B after collision is 6m/s opposite to the direction of motion before collision
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B
The coefficient of restitution 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 two balls is 40 Ns
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Solution

## The correct options are A The velocity of B after collision is 6m/s opposite to the direction of motion before collision B The coefficient of restitution is 0.2 C The loss of kinetic energy due to collision is 200 JLaw of con. of momentum.m1v1+m2v2=m1v3+m2v41×21+2×(−4)=1×1+2vv=6m/s i.e, direction of B is reversed.e=vel.ofseparationvel.ofapproach=6−121−(−4)=0.2loss in K.E.=12(1×21×21+2×4×4−1×1×1−2×6×6)=200Jimpulse =2×6−2×(−4)=20Ns

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