8kw Steam

How long does it take a 19kW steam engine to do 6.8X10^7 J of work – Physics?

question says the first one all and it would help if someone could explain how a car with a mass of 1.50 X 10^3 kg starts from rest and accelerates to a speed of 18.0 m/s in 12.0 s. Assume that the force of resistance remains constant at 400.0 N during this time. What is the average power developed by the car’s engine? I know the answer is about 23.8kW but how do you get it?
Use 9.8 for gravity
Thaks Jim! BTW I got the one you didn’t answer.

car mass = m = 1.50e3 kg
acceleration of car = a = 18/12 = 1.50 m/s²
force of resistance against car’s motion = 400.0 N {constant}
avg power = work/time = Net force x distance/time = Net force x avg speed
avg car speed = 1/2(final speed of car) = (0.5)(18.0) = 9.0 m/s
Net engine force = (ma + 400) = (1.50e3)(1.50) + 400 = 2.25e3 + 400 = 2250 + 400 = 2650 N
avg power = (2650)(9.0) = 23,850 watts ≈ 23.9 KW

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