Answer: 14.7kJ, 29.4kJ, 44.1kJ
Explanation:
The gravitational potential energy is the energy that a body or object possesses, due to its position in a gravitational field.
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=9.8m/s^{2}[/tex] the acceleration due gravity and [tex]h=500m[/tex] the height of the object.
Knowing this, let's begin with the calculaations:
For m=3kg
[tex]U_{p}=(3kg)(9.8m/s^{2})(500m)[/tex]
[tex]U_{p}=14700J=14.7kJ[/tex]
For m=6kg
[tex]U_{p}=(6kg)(9.8m/s^{2})(500m)[/tex]
[tex]U_{p}=29400J=29.4kJ[/tex]
For m=9kg
[tex]U_{p}=(9kg)(9.8m/s^{2})(500m)[/tex]
[tex]U_{p}=44100J=44.1kJ[/tex]