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.)

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