Final answer:
The total resistive force on a race car moving at a constant velocity of 200 km/h with a power of 150 kW to the wheels is calculated to be 2700 N.
Step-by-step explanation:
Calculating the Total Resistive Force on a Race Car
The question asks us to calculate the total resistive force on a race car that is driven at a constant velocity of 200 km/h on a straight, level track, with a power delivered to the wheels of 150 kW. To find this force, we use the formula for power in terms of force and velocity: Power (P) = Force (F) × Velocity (v).
First, we need to convert the velocity to meters per second (m/s) by multiplying by 1000 m/km and dividing by 3600 s/h, giving us approximately 55.56 m/s. Using the given power of 150 kW, which is equivalent to 150,000 Watts:
P = F × v
150,000 W = F × 55.56 m/s
F = 150,000 W / 55.56 m/s
F = 2700 N
Therefore, the total resistive force on the car is 2700 N.