A 45.0 kg girl is standing on a 159 kgplank. The plank, originally at rest, is f

Question

A 45.0 kg girl is standing on a 159 kgplank. The plank, originally at rest, is free to slide on a frozenlake, which is a flat, frictionless surface. The girl begins towalk along the plank at a constant velocity of 1.39 m/s relative to the plank. (a) What is her velocity relative to thesurface of ice?
1 m/s

(b) What is the velocity of the plank relative to the surface ofice?
2 m/s (a) What is her velocity relative to thesurface of ice?
1 m/s

(b) What is the velocity of the plank relative to the surface ofice?
2 m/s

Explanation / Answer

mass of girl m = 45 kg mass of planck M = 159 kg Initial velocity of the planck U = 0 velocity of the girl u = 1.39 m / d from law of conservation of momentum , momentum of the planck= - momentum of the girl                                                                                       MV = -mu                                                                                            V= -mu / M                                                                                              = -0.39333 m / s (a). Her relative velocity to the surface of the ice =u + V                                                                           = 0.9966 m / s (b). the velocity of the plank relative to the surface of ice= V = -0.39333 m / s

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