Justin Thyme is traveling down Lake Avenue at 32.8 m/s in his 1510-kg 1992 Camaro. He spots a police car with a radar gun and quickly slows down to a legal speed of 20.1 m/s. Determine the amount of work done on the Camaro during the deceleration.

Respuesta :

Answer:

507000 J

Explanation:

According to the work-kinetic energy theorem, the work done is the change in kinetic energy.

[tex]W = KE_2 - KE_1[/tex]

[tex]KE_1 =\frac{1}{2}\times1510\times32.8^2 \text{ J}[/tex]

[tex]KE_2 =\frac{1}{2}\times1510\times20.1^2 \text{ J}[/tex]

[tex]W = \frac{1}{2}\times1510\times(20.1^2 - 32.8^2)\text{ J} = -507231.65 \text{ J}[/tex]

The negative sign indicates work was done on the car.