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Q.

A crane is used to lift 10,000 kg of coal from a mine 100 meter deep. Time taken by the crane is one hour. Assuming the efficiency of the crane to be 80%, the power of the crane in kW is

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a

0.340

b

3.403

c

34.03

d

4.303

answer is B.

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Detailed Solution

Power =Wt=mght =(10000×9⋅8×100)J3600sec =98×10336J/s=9836kW η= Output  Input   or   Input = Output η ∴  Input =9836×10080=3.403kW
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A crane is used to lift 10,000 kg of coal from a mine 100 meter deep. Time taken by the crane is one hour. Assuming the efficiency of the crane to be 80%, the power of the crane in kW is