A 45.0-kg girl is standing on a 166-kg plank. The plank, originally at rest, is

Question

A 45.0-kg girl is standing on a 166-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 1.56 m/s to the right relative to the plank. (Let the direction the girl is moving in be positive. Indicate the direction with the sign of your answer.)
(a) What is her velocity relative to the surface of ice?
m/s

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

Explanation / Answer

m1V1=(m1+m20 V2

V2=0.33 m/sec

her velocity relative to the surface of ice= 1.89 m/s

velocity of the plank relative to the surface of ice= -0.33 m/s

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