To maintain a constant velocity, the car's engine must generate a force equal to the resistive force acting on the car. The resistive force includes friction and air resistance. The magnitude of the total resistive force acting on the car in this case is 3302.3 N.
To maintain a constant velocity, the car's engine must generate a force equal to the resistive force acting on the car. In this case, the resistive force includes friction and air resistance. Friction force depends on the coefficient of friction between the car's tires and the road surface. Air resistance depends on the drag force, which is determined by the drag area and the velocity of the car.
The formula to calculate the magnitude of the resistive force is:
Resistive force = Friction force + Drag force
Given that the car needs to generate 75.0 hp to maintain a velocity of 16.9 m/s and we know that 1 hp = 746 W, we can convert the horsepower to watts: 75.0 hp * 746 W/hp = 55875 W.
Using this power value, we can calculate the magnitude of the resistive force using the formula:
Resistive force = Power / Velocity
Substituting the given values, we get:
Resistive force = 55875 W / 16.9 m/s = 3302.3 N.