A crane is powered by a motor delivering $20 k W$ . The crane is raising a load of $5 t o n$ . If $g = 10 m s^{- 2}$ , the maximum speed with which the load can be lifted is:

40 m s^{- 1}

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4 m s^{- 1}

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0.04 m s^{- 1}

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0.4 m s^{- 1}

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Solution

The correct option is C $0.4 m s^{- 1}$
We know. work $(W)$ $=$ Force $\times$ distance
Dividing both sides by time we get, power $=$ force $\times$ velocity
Or, $v e l o c i t y$ $= \frac{p o w e r}{f o r c e}$
Power $= 20$ x $10^{3} W$
Force $= m g = 5$ x $10^{3}$ x $10 N$
Putting these values we get, velocity $= 0.4 m / s$

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