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.)? (1 hp = 746 W) A) 2.05 × 10³ N B) 2.75 N C) 1.03 × 10³ N D) 2.87 × 10³ N

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Quizplus · Accepted Answer

Power is the rate at which work is done. In this case, the work is done against the resistive force, and the power is generated by the car's engine. The power can be calculated as:$$P = Fv$$where:* P is the power in watts* F is the force in newtons* v is the velocity in meters per secondWe are given that the power is 75.0 hp, which is equal to 56,025 watts. We are also given that the velocity is 27.3 m/s. Substituting these values into the equation, we get:$$56,025 W = F(27.3 m/s)$$Solving for F, we get:$$F = 2.05 	imes 10^3 N$$Therefore, the magnitude of the total resistive force acting on the car is 2.05 × 10^3 N.

A Car Needs to Generate 75