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## Homework Statement

A proton, an alpha particle, an electron, and a neutron are at rest at the corners of a square whose side length is 4.00×10^-10 m with the electron and neutron at opposite corners.

How minimum an amount of work must be done to move the particles far from each other?

## Homework Equations

Use 8.85×10^-12 F/m for the permittivity of free space and 1.60×10^-19 C for the charge on an electron.

[tex] KE_{i} = PE_{f} [/tex]

[tex] \frac {1} {2} * m_{p} * v_{i}^2 = \frac {1} {4*pi*8.85*10^{-12}} * \frac {Q^2} {R} [/tex]

## The Attempt at a Solution

I'm not exactly sure what we're trying to solve for. I was wondering if someone could clarify the problem