What is the work 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:
Explanation:500j is answer
Answer:
The work done to increase the velocity of the car is 1,57,500 J.
Explanation:
According to the work-energy theorem, the work done on a body is equal to the change in its kinetic energy.
Change in kinetic energy = final kinetic energy - initial kinetic energy
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, K.E₁ = (mu²) / 2
= (1500 × 8.3²) / 2
= 103335 / 2
= 51667.5 J
The final kinetic energy of the car, K.E₂ = (mv²) / 2
= (1500 × 16.7²) / 2
= 418335 / 2
= 209167.5 J
∴ Work done = change in kinetic energy
= final kinetic energy - initial kineitc energy
= K.E₂ - K.E₁
= 209167.5 - 51667.5
= 1,57,500 J