A moving particle of mass m, makes a head on elastic collision with another particle of mass $$2m$$, which is initially at rest. The percentage loss in energy of the colliding particle on collision, is close to

Question

A moving particle of mass m,     makes a head on elastic collision with another  particle of mass $$2m$$,     which is initially at rest. The percentage loss in  energy of the colliding particle on collision, is close to

Infinity Learn · Accepted Answer

Conservation of total kinetic energy of the system during collision  $$12m1u12+12m2u22=12m1v12+12m2v22$$ or $$v1=m1$$−$$m2m1+m2u1+2m2u2m1+m2$$ put $$m1=mm2=2mu2=0$$ ⇒$$v1=$$−$$u13$$  Initial kinetic energy of the colliding body is given by,  $$(K$$.$$E)i=12mu12$$ $$(K$$.$$E)f=12m$$−$$u132$$ ΔK.$$E=(K$$.$$E)i$$−$$(K$$.$$E)f$$ %ΔK.$$E(K$$.$$E)i=89$$×$$100=89$$%≈$$90$$%

A moving particle of mass $m,$ makes a head on elastic collision with another particle of mass $2 m,$ which is initially at rest. The percentage loss in energy of the colliding particle on collision, is close to

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A moving particle of mass m, makes a head on elastic collision with another particle of mass 2m, which is initially at rest. The percentage loss in energy of the colliding particle on collision, is close to

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A moving particle of mass $m,$ makes a head on elastic collision with another particle of mass $2 m,$ which is initially at rest. The percentage loss in energy of the colliding particle on collision, is close to