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A bus of mass 6 metric tons is pulled at a speed of 18 KMPH an up incline of inclination 1 in 20. Power of the engine is, (g = 10ms-2)

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a
15 kW
b
1500W
c
30 kW
d
150 kW

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detailed solution

Correct option is A

P =FV

The static frictional force F applied by the road on the wheels = mg sin θ

This force F is responsible for the motion of the bus

.: Power = FV = mg vsin θ

 = 6000 x 10 x (18 x 5/18) x 1 / 20 W

= 15 KW

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