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Question

An engine generates a power of 75 kW having efficiency of 80% and the car moves with a constant velocity of 20 m/s. Find the force generated by the engine. (Assume the engine applies a constant force on the car)

A
2000 N
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B
3000 N
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C
6000 N
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D
1500 N
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Solution

The correct option is B 3000 N
Given Power=75 kW
Efficiency of engine, η=80%
η=Actual delivered power to the carPower generated by the engine
i.e 0.80=Pactual75
Pactual=0.80×75 kW=60000 W

We know that PowerP=F.v=Fvcosθ=Fvcos0=Fv
60000=F×20
F=6000020=3000 N

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