Question

A car driving down a street has a kinetic energy of 32,000 J. If the car has a mass of 1,600kg, at what velocity is the car moving?

Answer 1

Step-by-step explanation:

The mechanical energy can be expressed as kinetic and potential energy, given by the equation;

ME=KE+PE

but since the car isn't elevated off the ground nor is it subjected to the restoring force of a spring, we can then say PE=0

ME=KE

The equation of KE=0.5mv²

ME=0.5mv²

32 000=0.5(1600)v²

`v {}^(2) = (32 \: 000)/(1600 * 0.5)`

`v {}^(2) = (32 \: 000)/(800)`

`{v}^(2) = 40`

`v = √(40) = 6.324`

v=6.324 m/s :)