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11 May, 11:04

26. Suppose a car travels 108 km at a speed of 30.0 m/s, and uses 2.0 gal of gasoline. Only 30% of the gasoline goes into useful work by the force that keeps the car moving at constant speed despite friction. (The energy content of gasoline is about 140 MJ/gal.) (a) What is the magnitude of the force exerted to keep the car moving at constant speed

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  1. 11 May, 14:18
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    F = 777.78N

    The magnitude of the force exerted to keep the car moving at constant speed is 777.78N

    Explanation:

    Given;

    Total distance travelled d = 108km = 108000m

    Speed v = 30 m/s

    Gasoline used a = 2 gal

    Efficiency e = 30% = 0.3

    Energy content C = 140MJ/gal

    Energy used in moving the car at constant speed v is;

    E = eaC = efficiency * gasoline used * Energy content

    Substituting the values;

    E = 0.3*2*140MJ

    E = 84MJ

    Force = Energy/distance

    F = E/d = 84 MJ : 108km = 84 * 10^6 J : 108000m

    F = 777.78N

    The magnitude of the force exerted to keep the car moving at constant speed is 777.78N
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