Explanation:
The gravitational potential energy is the energy that a body or object possesses, due to its position in a gravitational field.
That is why this energy depends on the relative height of an object with respect to some point of reference and associated with the gravitational force.
In the case of the Earth, in which the gravitational field is considered constant, the value of the gravitational potential energy [tex]U_{p}[/tex] will be:
[tex]U_{p}=mgh[/tex]
Where [tex]m[/tex] is the mass of the object, [tex]g[/tex] the acceleration due gravity and [tex]h[/tex] the height of the object.
As we can see, the value of [tex]U_{p}[/tex] is directly proportional to the height.