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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?

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sebasacevedop

Answer:

[tex]U'=2U[/tex]

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:

[tex]U=mgh[/tex]

Where g is the gravitational acceleration. We have [tex]h'=2h[/tex], so:

[tex]U'=mgh'\\U'=mg2h\\U'=2mgh\\U'=2U[/tex]

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