A 45.0 kg girl is standing on a 162 kg plank. The plank, originally at rest, is

Question

A 45.0 kg girl is standing on a 162 kg plank. The plank, originally at rest, is free to slide on a frozen lake, which is a flat, frictionless surface. The girl begins to walk along the plank at a constant velocity of 1.42 m/s relative to the plank. (a) What is her velocity relative to the surface of ice in m/s. (b) What is the velocity of the plank relative to the surface of ice in m/s

Explanation / Answer

a) m1 v1 = m2 v2 45 * v1 = 162 * v2 and v1 + v2 = 1.42 >>>>>>> v2 = 1.42 - v1 therefore: 45 * v1 = 162 * v2 >>>>>> 45 * v1 = 162 * (1.42 - v1) >>>>>> v1 = 162 * (1.42)/(45+162) >>>>>> v1 = 1.11 m/s b) v2 = 1.42 - v1 = 1.42 - 1.1113 = 0.309 m/s

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