Technology a lamborghini aventador accelerates from rest to 100 km / h in 2.9 s. the mass of the car is 1575 kg calculate the power supplied by the car's engine in hp without considering drag and friction (i hp 745.7 w)

We need to find the power supplied to a car in horsepower.

The power supplied to the car's engine is 281.06 HP.

v = Velocity of car = 100 km/h

t = Time taken = 2.9 s

m = Mass of car = 1575 kg

Converting velocity of to m/s

Energy is given by

Power is given by

Converting to HP

The power supplied to the car's engine is 281.06 HP.

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At 100 km/hr, the car's kinetic energy is

KE = (1/2) (mass) (speed)²

KE = (1/2) (1575 kg) ( [100 km/hr] x [1000 m/km] x [1 hr/3600 sec] )²

KE = (787.5 kg) (27.78 m/s)²

KE = 607,639 Joules

In order to deliver this energy in 2.9 seconds, the engine must supply

(607,639 J / 2.9 sec) = 209,531 watts

Power = 281 HP

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