A 23 kg crate is suspended from the ceiling by a 3 m piece of piano wire with a

Question

A 23 kg crate is suspended from the ceiling by a 3 m piece of piano wire with a linear mass density of 3.31 times 10^-4 kg/m. A pulse is sent up the wire towards the ceiling. The time required for the pulse to reach the ceiling is carefully measured at 3.64 times 10^-3s, which gives a velocity for the pulse of 825 m/s. If this arrangement could be taken to the moon, would you expect the time required for the pulse to travel from the crate to the ceiling to increase, decrease or stay the same? Justify your answer.

Explanation / Answer

Time is proportional square root of tension in the string. Tension equal to weight of crate plus rope. On the moon acceleration due to gravity is one by sixth that of earth. So time decreases by one by root six times

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