# Changes

Added more general formula for gpe

'''Potential energy''' is [[energy]] that is stored in an object~~, ~~. An example is gravitational potential energy such as ~~the energy in ~~that of a ~~[[~~roller coaster~~]] ~~train at the peak of its lift [[hill]].<ref>Wile, Jay L. ''Exploring Creation With Chemistry''. Apologia Educational Ministries, Inc. 1998</ref>

The formula ~~of ~~for gravitational potential energy for two point masses is::<math>~~E_~~V = -\~~mathrm ~~frac{~~pot~~GMm} ~~= ~~{r}</math> where:<math>G</math> is Newton's [[gravitational constant]]:<math>M</math> and <math>m </math> are the [[mass (science)|masses]] of the two particles:<math>r</math> is their separation If one particle moves a radial distance (towards or away) from the other a distance <math>\Delta h</math> and <math>\Delta h \ll r</math>, ~~g ~~then the change in potential <math>\Delta E</math> can be approximated by :<math>\Delta E = mg \, \Delta h</math> where <math>g</math> is the gravitational field strength in the vicinity of the initial and final points.

==See also==