Suppose that the air resistance encountered by a car is independent of its speed. When the automobile travels at 15 m/s, its engine delivers 20 hp to its wheels. (a) What is the power delivered to the wheels when the automobile travels at 30 m/s? (b) How much power does the automobile use to cover 10 km at 15 m/s? At 30 m/s? Assume that the engine is 25% efficient. (c) Answer the same questions if the strength of the air resistance is proportional to the speed of the car. (d) What do these results, plus your experience with gasoline consumption, tell you about air resistance

Principles of Physics: A Calculus-Based Text
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Chapter6: Energy Of A System
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Suppose that the air resistance encountered by a car is independent of its speed. When the automobile travels at 15 m/s, its engine delivers 20 hp to its wheels. (a) What is the power delivered to the wheels when the automobile travels at 30 m/s? (b) How much power does the automobile use to cover 10 km at 15 m/s? At 30 m/s? Assume that the engine is 25% efficient. (c) Answer the same questions if the strength of the air resistance is proportional to the speed of the car. (d) What do these results, plus your experience with gasoline consumption, tell you about air resistance?

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