A particle of mass ‘m’ is moving horizontally with a constant velocity ‘v’ towards a massive 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 massive 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

Velocity of separation $$=$$ $$-e$$ (velocity$$ of $$approach)⇒$$($$−$$v1i)$$−$$(-ui)=$$−e[(vi)−$$($$−$$ui)$$]⇒u−$$v1=$$−$$1(v+u)$$⇒$$v1=2u+v$$                ∴$$W=$$ΔK.E.$$=12mv1$$ $$2$$−$$12mv2=12m$$[(2u+v)2$$−$$v2$$]$$=2mu(u+v) .

A particle of mass ‘m’ is moving horizontally with a constant velocity ‘v’ towards a massive 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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