Calculating Average Power for 1170 kg Car

AI Thread Summary
To calculate the average power developed by a 1170 kg car accelerating to 10 m/s in 16.1 seconds, the initial kinetic energy is determined as 29,250 J. The average power from this kinetic energy is calculated as approximately 3,633.54 W. However, the discussion highlights the need to account for the work done against a constant drag force of 302 N. To find the total average power, the distance traveled during acceleration must be calculated to determine the work done against drag. This additional work should be included in the final average power calculation for a complete assessment.
kmikias
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Hi guys i have a question on power and work i guess you gone help me out here is the question.

1.A 1170 kg car starts from rest and accelerates uniformly to 10 m/s in 16.1 s . Assume that air resistance remains constant at 302 N during this time.Find the average power developed by the engine. Answer in units of hp.

here is what i did

Power = work / time
so average power = KE/t



work = 1/2 . mv^2
work= 1/2 * 1170 * 10^2
= 29250 J

so Power = W/t = 29250 J/ 16.1
= 3633.5403 w
after that i changed watt to hp.
 
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Ok, good... you calculated the average power to accelerate the vehicle. But what about the work done to overcome drag? You have a nice constant 302N drag over this time. If you have force over a distance you can find work. Can you determine the distance the car went? Once you have work done by the air on the vehicle, divide by time to find average power.
 
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