The power of engine of a car of mass 1200 kg is 25 5kw.The minimum time required to reach a velocity of 90 km/h by the car after stating from rest is?

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The power of engine of a car of mass 1200 kg is 25 5kw.The minimum time required to reach a velocity of 90 km/h by the car after stating from rest is?

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The power of engine of a car of mass 1200 kg is 25 5kw.The minimum tim...

m = mass of the car = 1200 kg

P = power of the engine of the car = 25 kW = 25000 Watt

t = time taken by the car to reach a velocity of 90 km/h starting from rest = ?

v₀ = initial velocity of the car = 0 m/s

v = final velocity of the car = 90 km/h = 90(5/18) = 25 m/s

Using work-change in kinetic energy theorem

W = work done = change in kinetic energy = (0.5) m (v^2 - v₀^2)

P t = (0.5) m (v^2 - v₀^2)

inserting the values

(25000) t = (0.5) (1200) (25^2 - 0^2)

t = 15 sec

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