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  • 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, be able to lift at constant speed of 1 m s^–1 vertically? (g = 10 m s^–2)

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, be able to lift at constant speed of  1 m s^{-1} vertically? (g = 10 m s^{-2})

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Solution.
Power of anything is defined as the rate of work done by that thing or energy supplied per unit time.
Mathematically, power is defined as the product of force and velocity.
Power = F v.
Power is defined as work done per unit time and its unit will be watt or kilowatt.
If we multiply power with time, we will get energy or work done.
If a man is lifting a body with constant speed, he has to apply force equal to his weight.
Force applied:  F = mg = 10m N
Speed attained:  V = 1 m s^{-1}
Power used:  P   = 100W
By using the formula of power:
100 = (10m) (1)
m = 10kg.

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