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A sphere of mass 2 kg moving with velocity of 4 m/s collides head on with a stationary sphere of mass 4 kg during the course of collision, average impulse acting on the 4 kg sphere is 8 N-S. Then the coefficient of restitution is

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answer is 4.

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Detailed Solution

For 4 kg sphere, 4V2−4×0=8⇒V2=2 msFor 2 kg sphere, 2×V1−2×4=−8⇒V1=0 m/s∴ e=V2−V1u1−u2=2-04−0=12
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A sphere of mass 2 kg moving with velocity of 4 m/s collides head on with a stationary sphere of mass 4 kg during the course of collision, average impulse acting on the 4 kg sphere is 8 N-S. Then the coefficient of restitution is