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 :
[tex]W=\dfrac{1}{2}m(v^2-u^2)[/tex]
Here, v = 0
[tex]W=-\dfrac{1}{2}mu^2\\\\W=-\dfrac{1}{2}\times 1150\times (23.88)^2\\\\W=-327896.28\ J[/tex]
or
[tex]W=3.27\times 10^5\ J[/tex]
Therefore, the work done by the automobile is [tex]-3.27\times 10^5\ J[/tex].
