1. The problem statement, all variables and given/known data
An auto manufacturer reports that the maximum power delivered by the engine of a car of mass 1230 kg is 92.4 kW. Find the minimum time in which the car could accelerate from rest to 29.1 m/s. In a test the time to do this is found to be 12.3 s. Account for the difference in this time.
An auto manufacturer reports that the maximum power delivered by the engine of a car of mass 1230 kg is 92.4 kW. Find the minimum time in which the car could accelerate from rest to 29.1 m/s. In a test the time to do this is found to be 12.3 s. Account for the difference in this time.
2. Relevant equations
P = W/t
Work-KE theorem
3. The attempt at a solution
t = [itex]\frac{W}{P}[/itex]
= [itex]\frac{.5(1230)(29.1)^{2}}{92.4(10^{3})}[/itex]
= 5.64s
The difference in time is due to not accounting for friction force.
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