Point mass potential

1. Nov 27, 2006

Logarythmic

If I have a point mass that experiences a force

$$\vec{F}(\vec{r}) = - \frac{k}{r^2} \vec{e_r} -mg \vec{e_z}$$

is it correct that the potential is

$$V = - \frac{k}{r} + mgz$$

??

2. Nov 27, 2006

dextercioby

By the unit vectors used, apparently one uses the cylindric coordinates. Did you check that $\vec{F}=-\nabla U$ using cylindric coordinates ?

Daniel.

3. Nov 27, 2006

Logarythmic

Yeah that's correct. Can I interpret this as a particle next to a vertical cable or something?

4. Nov 27, 2006

dextercioby

I ain't got a clue.

Daniel.