what is the work to be done to increase the velocity of a car from 30 km h to 60 km h if the mass of the car is 1500 kg ?
Answers
Answer:
156520 J
Explanation:
is correct answer
Answer:
The work done to increase the velocity of the car from 30 Km/h to 60 Km/h is 1,57,500 J.
Explanation:
From the work-energy theorem we know that the work done is equal to the change in kinetic energy of the system.
The mass of the car, m = 1500 Kg
The initial velocity of the car, u = 30 Km/h = 8.3 m/s
The final velocity of the car, v = 60 Km/h = 16.7 m/s
The initial kinetic energy of the car, K.E₁ = (mu²) / 2
= (1500 × 8.3²) / 2
= 51667.5 J
The final kinetic energy of the car, K.E₂ = (mv²) / 2
= (1500 × 16.7²) / 2
= 209167.5 J
∴ Work done = change in kinetic energy
W = K.E₂ - K.E₁
= 209167.5 - 51667.5
= 1,57,500 J