Electrostatics problem with charged particles accelerating

[Skrileq]

Homework Statement

There are four particles:

Two positively charged +|e| with a mass so large that it can be assumed that they are stationary

Two negatively charged -|e| with a mass m

The particles initially rest on the vertices of a square with side a.

the task is to calculate the distance between negative charges when their velocity is maximum

Relevant Equations

I didn’t figured it out yet

 

[berkeman]

Homework Statement:: There are four particles:

Two positively charged +|e| with a mass so large that it can be assumed that they are stationary

Two negatively charged -|e| with a mass m

The particles initially rest on the vertices of a square with side a.

the task is to calculate the distance between negative charges when their velocity is maximum
Relevant Equations:: I didn’t figured it out yet

View attachment 270554

Welcome to the PF.

When you are asked for the "Relevant Equations", that means we want you to write down the equations that you think you may use to solve the problem. Since this problem asks about accelerations and velocities of charged particles that are exerting forces on each other, a Relevant Equation would be the force of one charged particle on another, right? And another set of equations would be the relationships between acceleration, velocity and position for masses that are experiencing forces.

Please write out those equations (preferably using LaTeX -- see the LaTeX Guide in the lower left of the edit window). Once you have written out the equations, please say how you think they can be used to approach this problem. We require that you show your work before we can offer tutorial help. Thank you.