Question 26
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

$P o w e r = \frac{W}{T}$
= $\frac{m g h}{t}$
= $m g (\frac{h}{t})$

Here $\frac{h}{t} = s p e e d$

Therefore, $m = \frac{p o w e r}{g \times s p e e d} = \frac{100}{10 \times 1} = 10 k g$

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1 m s^{- 1}

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(g = 10 m s^{- 2})

In loading a truck, a man lifts boxes of 100 N each through a height of 1.5 m.

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