Question

An engine lifts 1000 kg coal per minute from a coalmine 300 meter deep given g = 10ms find the power of the machine.

Answer 1

Answer----->

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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