Question

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

Answer 1

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

given, `mgh =9800`

so, `h=9800/500=19.6 m`

Answer 2

It is on a height of `19.6 \ "m"`.

Explanation:

Gravitational potential energy is expressed through the equation

`G.P.E.=mgh` or `G.P.E.=Wh`

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 \ "N"`, and not mass, since mass is measured in kilograms.

So, the object is on a height of

`h=(G.P.E.)/W`

`=(9800 \ "J")/(500 \ "N")`

`=19.6 \ "m"`