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Question

How is the power related to the speed at which a body can be lifted? How many kilograms will a man working at the power of 100 W, will be able to lift at a constant speed of 1m/s vertically?

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Solution

Power = work/time
work = force x displacement
force = mass x acceleration
acceleration = velocity/time

Therefore, power = (velocity) x (mass) x (displacement) ÷ (time) x (time)

In the question,
Power, P = 100W
Velocity, v = 1m/s
Since time, t = 1s
Displacement, s = 1m
Acceleration, a = 10m/s

P = m×a×s÷t
100 = m×10
m = 10 kg

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