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A rope passess over a pulley which is su...

A rope passess over a pulley which is sufficiently high. Two monkeys of equal mass climb the rope from opposite ends, one of them climbing quickly than the other relative to the rope. Assuming that the pulley and the rope are weightless and the rope is in extensible, which of monkeys will reach the top first?

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Both will reach the top at the same time because the length of the two segments of the rope on the two sides of the pulley are always equal.
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