# What is the gravitational potential energy of a  12 kg object on a shelf  7/8 m  high?

Mar 19, 2018

$102.9 \setminus \text{J}$

#### Explanation:

Gravitational potential energy is expressed through the equation,

$\text{GPE} = m g h$

• $m$ is the mass of the object in kilograms

• $g$ is the gravitational acceleration, which is around $9.8 \setminus {\text{m/s}}^{2}$

• $h$ is the height of the object in meters

So, plugging in our given values, we get

$\text{GPE"=12 \ "kg"*9.8 \ "m/s"^2*7/8 \ "m}$

$= 102.9 \setminus {\text{kg m"^2"/s}}^{2}$

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

$= 102.9 \setminus \text{J}$