# What is the gravitational potential energy of a  4 kg object on a shelf  3/5 m  high?

Aug 1, 2017

$U = 23.5$ $\text{J}$

#### Explanation:

The gravitational potential energy $U$ of this object is given by the equation

$U = m g h$

where

• $m$ is the mass of the object ($4$ $\text{kg}$)

• $g$ is the acceleration due to gravity near Earth's surface ($9.81$ ${\text{m/s}}^{2}$)

• $h$ is its height, in $\text{m}$, above the ground ($\frac{3}{5}$ $\text{m}$)

Thus, we have

$U = \left(4 \textcolor{w h i t e}{l} \text{kg")(9.81color(white)(l)"m/s"^2)(3/5color(white)(l)"m}\right)$

= color(red)(ul(23.5color(white)(l)"J"