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A crane lifts a mass of 100 kg to a height of 10 m in 20 s. The power of the crane is $(Take g = 10 {ms}^{- 2})$

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100 W

200 W

250 W

500 W

answer is D.

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Detailed Solution

Here, $m = 100 kg, h = 10 m, t = 20 s$ and $g = 10 {ms}^{- 2}$
The power of the crane is
$∴ P = \frac{mgh}{t} = \frac{(100 kg) (10 {ms}^{- 2}) (10 m)}{(20 s)} = 500 W$

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