A particle of mass m is moving horizontally with a constant velocity v towards a rigid wall that is moving in opposite direction with a constant speed u. Assuming elastic impact between the particle and wall, the work done by the wall in reflecting the particle is equal to

Question

A particle of mass m is moving horizontally with a constant velocity v towards a rigid wall that is moving in opposite direction with a constant speed u. Assuming elastic impact between the particle and wall, the work done by the wall in reflecting the particle is equal to

Infinity Learn · Accepted Answer

$$e=v2$$−$$v1u1$$−$$u2$$⇒$$1=$$−u−$$($$−v'$$)v$$−$$($$−$$u)$$⇒v' $$=$$ $$2u$$ $$+$$ v∴W $$=$$ ∆$$KE$$$$=12mv$$'$$212mv2$$ $$=12m$$[(2u$$ $$+$$ $$v)2$$] $$=$$ $$2$$ $$mu(u$$ $$+$$ $$v)

A particle of mass m is moving horizontally with a constant velocity v towards a rigid wall that is moving in opposite direction with a constant speed u. Assuming elastic impact between the particle and wall, the work done by the wall in reflecting the particle is equal to

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