A steel sphere A is at rest on a frictionless horizontal surface. Another identical sphere B moving with velocity $$2m/s$$ collides head on with A. If coefficient of restitution e $$=$$ $$0.5$$, fraction of kinetic energy of B lost in the process is

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Infinity Learn · Accepted Answer

Conserving momentum: $$mv=$$ $$mv1+mv2$$ where $$v1$$ is the final velocity of B while $$v2$$ is the final velocity of $$Av2-v1=$$ $$v2Putting$$ above value in first equation, we $$getv2=3v1v1=v4$$ $$v2=3v4$$   Change in kinetic energy of B $$=$$ $$1532mv2Thus$$ fraction of $$KE$$ $$lost=$$ $$1516$$

A steel sphere A is at rest on a frictionless horizontal surface. Another identical sphere B moving with velocity 2m/s collides head on with A. If coefficient of restitution e = 0.5, fraction of kinetic energy of B lost in the process is

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