Potential of Point Mass: Is V = -k/r + mgz?

[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

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

??

 

[dextercioby]

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

Daniel.

 

[Logarythmic]

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

 

[dextercioby]

I ain't got a clue.

Daniel.