1) How much work does an elevator motor do to lift a 1000 kg elevator a height of 100 m?
Known variables:
mass (m): 1000 kg
height (h): 100m
Work = Force x Distance
We need to find a force. Since there is gravity, all we have to do is multiply it by the mass to get the Force.
1000 x 9.81 = 9810N
w = f x d, so w = 9810 x 100 = 981000 Joules.
2) How much power must the motor supply to do this in 50 s at constant speed?
Power = work / time.
P = 981000/50 = 19620 watts.
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