First slide

Power

Question

An engine pumps up 100 kg of water through a height of 10m in 5s. Given that the efficiency of the engine is 60%, What is the power of the engine ( Take $g = 10 m s^{- 2}$ )

Moderate

A

33kW
B

3.3kW
C

0.33kW
D

0.033kW

Solution

Power used to pump the water = $\frac{m g h}{t} = \frac{100 \times 10 \times 10}{5}$
Power $= 2000 W$
$g i v e n e f f i c i e n c y = 60 % \Rightarrow 60 % P o w e r o f e n g i n e = 2000 w a t t \Rightarrow \frac{60}{100} P o w e r o f e n g i n e = 2000 w a t t \Rightarrow P o w e r o f e n g i n e = 2000 \times \frac{100}{60} = 3.3 k W$

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