A railroad car of mass M is at rest on frictionless rails when a man of mass m starts moving on the car towards the engine. If the car recoils the speed v backwards on the rails, with what velocity is the man approaching the engine?

From the law of conservation of momentum,Momentum of man=Momentum of car+Momentum of man approaching enginemv=-Mv+mv'mv'=mv+Mv   v'=v+Mmv      =v1+Mm

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