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time to lift a piano 10 meters high

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A 2.40 * 10^2 kg piano is being lifted at a steady speed from ground level straight up to an apartment 10.0 m above the ground. The crane that is doing the lifting produces a steady power of 4.00 *10^2 W. How much time does it take to lift the piano?

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The solution shows how to compute the time it takes to lift a piano 10 meters by a crane.

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The piano is lifted at constant speed, so there is no change in the kinetic energy.
However, it is lited up 10.0 meters, so the potential energy is increased by
mgh = (2.40 * 10^2) * 9.8 * 10 = 23520 J.

The energy output of the ...

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