# What is the gravitational potential energy of a  9 kg object on a shelf  7/4 m  high?

May 9, 2018

154.35 Joules

#### Explanation:

Gravitational Potential Energy has a very simple equation:

$P E = m g h$

$P E$ is the Potential Energy, $m$ is mass, $g$ is the acceleration due to gravity, and $h$ is the height above ground.

We know mass, height, and gravitational acceleration, so we can go ahead and calculate the Potential Energy:

$m = 9 k g$

$g = 9.8 \frac{m}{s} ^ 2$

$h = \frac{7}{4} m$

$P E = 9 \times 9.8 \times \frac{7}{4}$

$P E = \frac{63}{4} \times 9.8$

$P E = \frac{617.4}{4}$

color(green)(PE=154.35J