Question

A car is raised a certain distance in a service station lift and therefore has potential energy relative to the floor. If it were raised twice as high, how much potential energy would it have relative to the floor?

Answer 1

Answer:

$U'=2U$

Explanation:

In this case, the potential energy is the energy that a body (m) possesses by virtue of its height (h) above the earth's surface, is defined as:

$U=mgh$

Where g is the gravitational acceleration. We have $h'=2h$, so:

$U'=mgh'\\U'=mg2h\\U'=2mgh\\U'=2U$