# At what height is an object that has a mass of 500 N, if its gravitational potential energy is 9800 Joules?

Mar 4, 2018

Let,the object of mass $m$ is at a height $h$ above the ground,so its potential energy is $m g h$

given, $m g h = 9800$

so, $h = \frac{9800}{500} = 19.6 m$

Mar 4, 2018

It is on a height of $19.6 \setminus \text{m}$.

#### Explanation:

Gravitational potential energy is expressed through the equation

$G . P . E . = m g h$ or $G . P . E . = W h$

where $W$ is the weight of the object in newtons, and $h$ is the height of the object in meters.

I'm assuming that you are talking about an object having a weight of $500 \setminus \text{N}$, and not mass, since mass is measured in kilograms.

So, the object is on a height of

$h = \frac{G . P . E .}{W}$

$= \left(9800 \setminus \text{J")/(500 \ "N}\right)$

$= 19.6 \setminus \text{m}$