Question

Use the data provided to calculate the gravitational potential energy of each cylinder mass. Round your answers to the nearest tenth.
3 kg: ____kJ

6 kg: ____kJ

9 kg: ____kJ

Answer 1

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 $U_{p}$ will be:  

$U_{p}=mgh$  

Where $m$ is the mass of the object, $g=9.8m/s^{2}$ the acceleration due gravity and $h=500m$ the height of the object.  

Knowing this, let's begin with the calculaations:

For m=3kg

$U_{p}=(3kg)(9.8m/s^{2})(500m)$  

$U_{p}=14700J=14.7kJ$  

For m=6kg

$U_{p}=(6kg)(9.8m/s^{2})(500m)$  

$U_{p}=29400J=29.4kJ$  

For m=9kg

$U_{p}=(9kg)(9.8m/s^{2})(500m)$  

$U_{p}=44100J=44.1kJ$