# What is the gravitational potential energy of a  6 kg object on a shelf  5/3 m  high?

Dec 10, 2015

The gravitational potential energy is $\text{100 J}$.

#### Explanation:

$\text{PE"_"grav} = m \cdot g \cdot h$, where $m$ is mass in kg, $g$ is acceleration due to gravity, $\text{9.81 m/s^2}$, and $h$ is the height in meters.

Given/Known
$m = \text{6 kg}$
$g = \text{9.81 m/s"^2}$
$h = \text{5/3 m}$

Solution
Substitute given and known values into the equation and solve.

$\text{PE"_"grav"=6"kg"xx9.81"m/s"^2xx5/3"m}$

$\text{PE"_"grav"=100N*m="100 J}$ (rounded to one significant figure)