Problem 9.75 How far from the woman is their CM? Express your answer using two s

Question

Problem 9.75 How far from the woman is their CM? Express your answer using two significant figures. A60-kg woman and a 81-kg man stand 13 m apart on frictionless ice Submit My Answers Give Up Part B If each holds one end of a rope, and the man pulls on the rope so that he moves 2.0 m, how far from the woman will he be now? Express your answer using two significant figures. In Submit My Answers Give Up Part C How far will the man have moved when he collides with the woman? Express your answer using two significant figures.

Explanation / Answer

Here ,

part A)

for the center of mass

COM = (m1 * x1 + m2 * x2)/(m1 + m2)

COM = (60 * 0 + 81 * 13)/(60 + 81)

COM = 7.47 m

woman is 7.47 m from the COM

part B)

as the position of center of mass will not change

, let the woman moves x

then 81 * 2 - 60 * x = 0

x = 2.7 m

distance between them = 13 - 2.7 - 2

distance between them = 8.3 m

part c)

as they will meet at the center of mass

distance moved by man = 13 - 7.47

distance moved by man = 5.53 m

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