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)

2000 N

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3000 N

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6000 N

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1500 N

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Solution

The correct option is B $3000 N$
Given Power $= 75 kW$
Efficiency of engine, $η = 80 %$
$η = \frac{Actual delivered power to the car}{Power generated by the engine}$
i.e $0.80 = \frac{P_{a c t u a l}}{75}$
$\Rightarrow P_{a c t u a l} = 0.80 \times 75 kW = 60000 W$

We know that Power $P = \to F . \to v = F v cos θ = F v cos 0^{\circ} = F v$
$\Rightarrow 60000 = F \times 20$
$∴ F = \frac{60000}{20} = 3000 N$

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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)

The correct option is B 3000 NGiven 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

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)