A 1 000-kg sports car accelerates from zero to 25 m/s in 7.5 s.What is the average power delivered by the automobile engine?
A)20.8 kW
B)30.3 kW
C)41.7 kW
D)52.4 kW

Question

Quizplus · Accepted Answer

The average power delivered by the automobile engine can be calculated using the formula:

average power = work done / time taken

The work done by the engine is equal to the change in kinetic energy of the car:

work done = (1/2) * mass * (final velocity)^2 - (1/2) * mass * (initial velocity)^2

work done = (1/2) * 1000 kg * (25 m/s)^2 - (1/2) * 1000 kg * (0 m/s)^2

work done = 312,500 J

The time taken is given as 7.5 s.

Therefore,

average power = 312,500 J / 7.5 s

average power = 41,667 W

Converting to kilowatts:

average power = 41.7 kW

Therefore, the best choice is C.

A 1 000-Kg Sports Car Accelerates from Zero to 25