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A cart of mass M is tied to one end of a...

A cart of mass `M` is tied to one end of a massless rope of length `10 m`. The other end of the rope is in the hands of a man of mass `M`. The entire system is on a smooth horizontal surface. The man is at `x=0` and the cart at `x=10 m`. If the man pulls the cart by the rope, the man and the cart will meet at the point

A

x= 0

B

x= 5m

C

x= 10m

D

They will never meet

Text Solution

Verified by Experts

The correct Answer is:
B
If the man pulls the cart by the rope, then man and cart will meet at the centre of mass.
`x_(CM)= (m_(1) x_(1) + m_(2) x_(2))/(m_(1) + m_(2))= (M xx 0 + M xx 10)/(M + M)= 5m`
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