Question

How much work would have to be done to bring a 1150kg automobile traveling at 86km/h to a stop?​

Answer 1

Step-by-step explanation:

We have,

Mass of an automobile is 1150 kg

The automobile traveling at 86 km/h and then it comes to stop.

86 km/h = 23.88 m/s

It is required to find work done by the automobile.

Concept used : Work energy theorem

Th change in kinetic energy of an object is equal to the work done by it. The work done is then given by :

`W=(1)/(2)m(v^2-u^2)`

Here, v = 0

`W=-(1)/(2)mu^2\\\\W=-(1)/(2)* 1150* (23.88)^2\\\\W=-327896.28\ J`

or

`W=3.27* 10^5\ J`

Therefore, the work done by the automobile is
`-3.27* 10^5\ J`.