Five years ago I posted this question. At the time it was difficult for me to understand almost all of what I was trying to learn and was very frustrated. I put it down and studied other stuff including math. I just looked at this question again and am finding myself still unable to derive any answers.(adsbygoogle = window.adsbygoogle || []).push({});

I'm having some trouble with a pretty basic question and I'm not sure what I'm missing that will correct my thinking. If I have two electrons in a vacuum and they are set at arbitrary origins at a correspondingly arbitrary fixed distance between them with initial velocity 0 how do I find time as a function of distance?

I'm looking at this like so:

[tex]a(r) = k_{e} \frac{q^{2}}{m \cdot r^{2}}[/tex]

where a is acceleration, r is the distance between the two electrons, [tex] k_{e} [/tex] is the Coulomb Constant, m is two times the electron mass and q is the charge on one electron. Both electrons are allowed to move freely!

I feel that plotting acceleration as a function of distance would be useful but I'm not seeing how to integrate in time? What am I missing about the mathematics which is also probably rather elementary and is preventing me from logically thinking this through?

**Physics Forums | Science Articles, Homework Help, Discussion**

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Two Electorns in a Vacuum

**Physics Forums | Science Articles, Homework Help, Discussion**