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Physics: Post your doubts here!

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can someone explain how will we do this question
A car of mass 1400kg is travelling on a straight, horizontal road at a constant speed of 25ms–1. The output power from the car’s engine is 30kW. The car then travels up a slope at 2° to the horizontal, maintaining the same constant speed.
What is the output power of the car’s engine when travelling up the slope?
A 12kW B 31kW C 42kW D 65kW
ans = C
 
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can someone explain how will we do this question
A car of mass 1400kg is travelling on a straight, horizontal road at a constant speed of 25ms–1. The output power from the car’s engine is 30kW. The car then travels up a slope at 2° to the horizontal, maintaining the same constant speed.
What is the output power of the car’s engine when travelling up the slope?
A 12kW B 31kW C 42kW D 65kW
ans = C
When Car is travelling at horizontal road it's speed is 25 m/s .. The car maintains this speed at slope WHICH MEANS THE CAR ALSO MAINTAINS 30kW OUTPUT POWER AT THE SLOPE (with new power at slope which is calculated below) AND SPEED OF 25 m/s.

At Slope the horizontal component of weight is forward driving force which is [mgSin(2)]=[1400x9.8Sin2]=478.8 N
Power is Force x Velocity ----> 478.8 x 25 = 11970.52 W
Since Car maintains the Output power of 30K at slope also so Output power of the car's engine is 11970.52 + 30kW Which is equals to 41970.5 W
Round it off to get 42kW of Power. (C ANS)
 
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