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Question 30451
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Work, Power and Energy: Power — Slope MCQ

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Power — SlopeHardQuestion 30451

Question

A car of mass 1000 kg moves up a slope (sin θ = 0.02) at constant speed 72 km/h. Friction coefficient = 0.01. Engine power is: (g = 10)
  1. A
    4400 W
  2. B
    44000 W
  3. C
    5600 W
    Correct
  4. D
    5000 W

Correct answer

5600 W

Explanation

v = 20 m/s. Resistance = mg sinθ + μmg cosθ ≈ mg(0.02 + 0.01) = 1000×10×0.03 = 300 N. P = Fv = 300×20 = 6000 W. (Note: cosθ ≈ 1 for small θ.)

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