An engine lifts 1000 kg coal per minute from a coalmine 300 meter deep given g = 10ms find the power of the machine.
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Mass(m) = 100000 kg = 10^5 kg
Height (h) = 360m
Acceleration due to gravity = 10 m/s^2
Time(t) = 1 hour = 3600 s
Then,
P.E = mgh
= 10^5 * 10 * 360 J
Work done = P.E = 10^5 * 10 * 360 J
We know,
Power = Work done / Time
= 10^5 x 10 x 360/3600
= 10^5 watt.
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