A car of weight 1500 N moves up a hill at a steady speed of 5 m/s, gaining a height of 100 m in 200s. What is the power of the engine of the car?

75 kW

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30 kW

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150 kW

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7.5 kW

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Solution

The correct option is C 7.5 kW
Here, $m g = 1500 N$ , $h = 100 m, t = 200 s$
The work done by the car is the change in potential energy.
Thus, $W = m g h = 1500 (100) = 150000 J$
Therefore, power of the engine of the car $P = W / t = 150000 / 200 = 750 W = 7.5 k W$

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