A 1550 kg car is initially at rest on level ground when the engine does 450 000 J of work on it. If all of the work is converted into kinetic energy, what is the final speed of the car?

Respuesta :

Answer:

24.1 m/s

Explanation:

Work = change in KE = [tex]KE_{f} - KE_{i}[/tex]

KE initial is 0 because the initial velocity is 0. Therefore, work is equal to final kinetic energy. With that:

[tex]W = KE_{f} = \frac{1}{2}mv_{f}^{2}[/tex]

With some algebraic manipulations,

[tex]v_{f} = \sqrt{\frac{2W}{m} } = \sqrt{\frac{2*450000 J}{1550 kg} } = 24.1 m/s[/tex]