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"Calculate the average power a car engine needs to bring a car of 1400 kg from rest to a highway speed of 60.0 mi/h in 13.0 s. hp"

1 Answer

7 votes

Answer:

Power = 1,173.93hp

Step-by-step explanation:

Average power = Force * distance/Time

Force = mass * acceleration due to gravity

Force = 1400*9.81

Force = 13,734N

time = 13.0s

To get the distance, we will use the equation of motion

S = ut+1/2gt²

S = 0+1/2(9.81)(13)²

S = 4.905(169)

S = 828.945m

Substitute into the power formula:

Power = 13,734*828.945/13

Power = 11,384,730.63/13

Power = 875,748.51 Watts

Since 746 watts = 1hp

Power = 875,748.51/746

Power = 1,173.93hp

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