Answer:
= 746 watts)
Step-by-step explanation:
The average power delivered by the engine can be calculated using the formula:
average power = work done / time taken
The work done on the car is equal to the change in its kinetic energy, which can be calculated using the formula:
ΔK = (1/2) * m * Δv^2
where m is the mass of the car, Δv is the change in velocity, and ΔK is the change in kinetic energy.
In this case, the mass of the car is 1920 kg, the initial velocity is zero, the final velocity is 15.0 m/s, and the time taken is 3.03 seconds. Therefore:
Δv = 15.0 m/s - 0 = 15.0 m/s
ΔK = (1/2) * 1920 kg * (15.0 m/s)^2 = 1,620,000 J
The time taken is given as 3.03 seconds.
Therefore, the average power delivered by the engine is:
average power = ΔK / time taken
average power = 1,620,000 J / 3.03 s
average power = 534653.47 W
Converting this to horsepower:
1 hp = 746 W
average power = 534653.47 W / 746 W/hp
average power = 716.33 hp
Therefore, the average power delivered by the engine is approximately 716.33 horsepower.