# What is the gravitational potential energy of a  1 kg object on a shelf  3/8 m  high?

Mar 18, 2018

$3.675 \setminus \text{J}$

#### Explanation:

Gravitational potential energy is given by the equation:

$\text{GPE} = m g h$

where $m$ is the mass of the object in kilograms, $g$ is the gravitational acceleration, which is around $9.8 \setminus {\text{m/s}}^{2}$, and $h$ is the height that the object is standing on in meters.

So, we get:

${\text{GPE"=1 \ "kg"*3/8 \ "m"*9.8 \ "m/s}}^{2}$

$= 3.675 \setminus {\text{kg m"^2"/s}}^{2}$

Remember that $1 \setminus {\text{J"=1 \ "kg m"^2"/s}}^{2}$, and so we got:

$= 3.675 \setminus \text{J}$