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Question

Two skaters A and B of masses 50 kg and 70 kg respectively stand facing each other 6 m apart. Then they pull on a rope stretched between them. How far has each moved when they meet?

A
Both 3 m
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B
A moves 2.5 and B, 3.5 m
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C
A moves 3.5 and B, 2.5 m
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D
A moves 2m and B, 4 m
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Solution

The correct option is A A moves 3.5 and B, 2.5 m
Point O represents the centre of mass of the system.
Using x=MA(OA)+MB(AB)Mtotal
x=50×(0)+70(6)50+70=3.5 m
y=63.5=2.5 m
Pulling the rope does not involve any external force, thus their COM remains at rest i.e they meet at their centre of mass.
A moves 3.5 m and B moves 2.5 m

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