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Suppose a car travels 102 km at a speed of 30.5 m/s, and uses 2.1 gal...

Suppose a car travels 102 km at a speed of 30.5 m/s, and uses 2.1 gal of gasoline in the process. Only 30% of the gasoline goes into useful work to keep the car moving at a constant speed. In this problem you may assume that 1 gallon of gasoline produces 1.2 × 108 J of energy.

(a) What is the force exerted, in newtons, to keep the car moving at constant speed?

(b) If the required force is directly proportional to the speed that the car travels at, how many gallons will be used to drive 102 km at a speed of 29 m/s?

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