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20 January, 02:25

A car needs to generate 75.0 hp in order to maintain a constant velocity of 27.3 m/s on a flat road. What is the magnitude of the total resistive force acting on the car (due to friction, air resistance, etc.)

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  1. 20 January, 03:33
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    2048.63 N

    Explanation:

    Force: The product of mass and the acceleration of a body. The S. I unit of Force is Newton (N).

    From the question

    P = F*V ... Equation 1

    Where P = power generated by the car, F = Total resistive force acting on the car, V = Velocity of the car.

    make F the subject of the equation

    F = P/V ... Equation 2

    Given: P = 75.0 hp = (75*745.7) = 55927.5 W, V = 27.3 m/s

    Substitute into equation 2

    F = 55927.5/27.3

    F = 2048.63 N

    Hence the total resistive force acting on the car = 2048.63 N
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