Question

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.

Answer 1

507000 J

Step-by-step explanation:

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

`W = KE_2 - KE_1`

`KE_1 =(1)/(2)*1510*32.8^2 \text{ J}`

`KE_2 =(1)/(2)*1510*20.1^2 \text{ J}`

`W = (1)/(2)*1510*(20.1^2 - 32.8^2)\text{ J} = -507231.65 \text{ J}`

The negative sign indicates work was done on the car.