Engineering
Physics
Work Done by a Constant Force
Center of Mass
Calculus
Question

A thin uniform steel chain is 10 meters long with a masss density of 2 kilograms per meter. One end of the chain is attached to a horizontal axis having a radius that is small compared to the length of the chain. If the chain initially hangs vertically, the work required to slowly wind it up on to the axle is closest to

100 J

200 J

2000 J

1000 J

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Solution
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W = mg (ΔhCM) = 20 × 10 × 5 = 1000 J