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Kinetic Energy and Relative Motion

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A train of mass M travels along a straight track at a constant speed v. A passenger of mass m runs with a speed u relative to the train, in the same direction as the train’s motion. What is the ratio of the passenger’s kinetic energy relative to the ground to the passenger’s kinetic energy relative to the train?

A

1 + v²/u²

B

(v+u)/u

C

v²/u²

D

(v+u)²/u²

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