A student of mass 75 kg is in a small rowboat of mass 95 kg resting...
A student of mass 75 kg is in a small rowboat of mass 95 kg resting on a calm lake. How far will the boat move if the student walks from the bow to the stern of the boat? The distance from the bow to the stern is 2.5 m. Ignore any horizontal force exerted by the water.
Please solve this problem by making a suitable diagram, without diagram already available.
Homework Answers
Answer-
M = mass of boat = 95 kg
m = mass of student = 75 kg
Δx = distance student moves = 2.5 m
The mass of the student shifts by Δx, so there is a first moment change mΔx. The mass of the boat has to shift by Δx' to balance this, since the position of the center of mass will not change in this problem. Therefore, the first moment change of the boat is
MΔx' = -mΔx
Δx' = -(m/M)Δx =-75/95*2.5= -1.97
so the boat move -1.97 m in the left side
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