13. An engine in an automobile can develop a power of 4 HP. If the force developed by the engine is
250 N, find the uniform velocity at which automobile is moving. [Take 1 HP = 750 W]
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We want to calculate the power needed to move a car up a hill at constant speed.
Strategy
At constant velocity, there is no change in kinetic energy, so the net work done to move the car is zero. Therefore the power supplied by the engine to move the car equals the power expended against gravity and air resistance. By assumption, 75% of the power is supplied against gravity, which equals
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