Question

Imagine that a 1200 kg vehicle speeds up from rest to 20.0 m/s in 80 m.

How much work was done on the car? (Answer in 3 sig figs)

Answer 1

Correct question:

Imagine that a 1200 kg vehicle speeds up from rest to 20.0 m/s in 80 s.

How much work was done on the car? (Answer in 3 sig figs)

Answer:

the work done on the vehicle is 2.40 x 10⁵ J

Step-by-step explanation:

Given;

mass of the vehicle, m = 1200 kg

initial velocity of the vehicle, u = 0

final velocity of the vehicle, v = 20 m/s

time of motion of the vehicle, t = 80 s

The distance moved by the vehicle is calculated as;

`s = ((v + u)/(2) )t\\\\s = ((20+ 0)/(2) )(80)\\\\s = 800 \ m`

The force applied to the vehicle is calculated as;

`F = ma = (m v)/(t) = (1200 * 20)/(80) = 300 \ N\\\\`

The work done on the vehicle is calculated as;

W = F x d

W = 300 x 800

W = 2.4 x 10⁵ J.

Therefore, the work done on the vehicle is 2.40 x 10⁵ J