A crane lifts a 200 kg load to a height of 15 meters in 10 seconds. Assuming acceleration due to gravity is 10 m/s² and energy loss is negligible, what is the power output of the crane during this operation?
3000 W
The useful work done by the crane equals the gain in gravitational potential energy of the load, given by \(W = mgh\).
Substituting the values, \(W = 200 \times 10 \times 15 = 30000\ \text{J}\).
Power is the rate of doing work, \(P = \frac{W}{t}\), where the time taken is 10 seconds.
So \(P = \frac{30000}{10} = 3000\ \text{W}\).
Hence, the answer is 3000 W.
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