A 1200 kg sports car accelerates from 0m/s to 27m/s in 10s.
What is the average power of the engine?
power= workdone/time= changeKEnergy/time
= 1/2 m*vf^2 /time
To find the average power of the engine, we can use the formula:
Average Power = Work / Time
First, let's calculate the work done by the car. The work done is equal to the change in kinetic energy (K.E). The formula for kinetic energy is:
K.E = (1/2) * mass * velocity^2
K.E1 = (1/2) * (1200 kg) * (0 m/s)^2 (Initial kinetic energy, since the car starts from rest)
K.E2 = (1/2) * (1200 kg) * (27 m/s)^2 (Final kinetic energy)
Now, we can calculate the work done:
Work = K.E2 - K.E1
Next, we need to calculate the time, which is given as 10 seconds.
Finally, we can substitute the values into the formula to find the average power:
Average Power = Work / Time
Let's calculate the average power step by step:
K.E1 = (1/2) * (1200 kg) * (0 m/s)^2 = 0 J
K.E2 = (1/2) * (1200 kg) * (27 m/s)^2 = 437400 J
Work = K.E2 - K.E1 = 437400 J - 0 J = 437400 J
Average Power = Work / Time = 437400 J / 10 s = 43740 watts
Therefore, the average power of the engine is 43740 watts.