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Q.

What is the power of an engine which can lift 20 metric tons of coal per hour from a 20 m deep mine?

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a

1.9 x 102 watt

b

1.09 x 103 watt

c

1.59 x 103 watt

d

1.29 x 103 watt

answer is B.

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Detailed Solution

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Given,
Mass, m = 20 metric tons = 20 x 1000 kg
Distance, s = 20m,
Time, t = 1 hour = 3600s
The capacity to do work is termed as Energy and the Energy expended to do work in unit time is termed as Power.
We have, Power,
P=Energy consumedtime
Power =mg×st                 (Here energy possessed is potential energy)
Power =20×1000×9.8×203600
Power = 1.09 x 103 watts
Hence, the Power of an engine is 1.09 x 103 watts.

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