a 1000 kg sports car accelerates from 0-30 m/s in 5.0 s. What is tge average power delivered by the automobile engine?
work done = change in Ke
= (1/2) m v^2 = 500*900 Joules
power = work/time
= 500 * 900 / 5
= 90,000 Watts
To find the average power delivered by the automobile engine, we can use the formula:
Average Power = Work / Time
First, let's calculate the work done. The work done is equal to the change in kinetic energy of the car.
Change in Kinetic Energy = (1/2) * mass * (final velocity^2 - initial velocity^2)
Given:
Mass of the car (m) = 1000 kg
Initial velocity (u) = 0 m/s
Final velocity (v) = 30 m/s
Change in Kinetic Energy = (1/2) * 1000 kg * (30 m/s)^2
Now, let's calculate the time (T).
Time (T) = 5.0 s
Now, substitute these values into the formula for average power:
Average Power = (1/2) * 1000 kg * (30 m/s)^2 / 5.0 s
Simplifying further:
Average Power = (1/2) * 1000 kg * 900 m^2/s^2 / 5.0 s
Average Power = 45,000 Nm/s
Therefore, the average power delivered by the automobile engine is 45,000 watts (W).