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 a rope, the man and the cart will meet at the point

Question

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 a rope, the man and the cart will meet at the point, x = 0, x = 5 m, x = 10 m, They will never meet

MARKS App · Accepted Answer

They meet at the centre of mass x C O M = m 1 x 1 + m 2 x 2 m 1 + m 2 = M × 0 + M × 10 2 M = 5 m

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