# Oscillating Charge (No Springs Attached)

There are three identical collinear particles of charge $$(q = 10^{-6}\text{ C})$$ and mass $$(m = 1\text{ kg})$$. Two of the particles are held in place at $$(x = 0\text { m})$$ and $$(x = 1\text{ m})$$ respectively. The third particle is free to move, and is initially positioned at $$(x = \dfrac{1}{4}\text{ m})$$.

If the Coulomb constant is $$(k = 9\times10^{9}\text{ Nm}^{2}\text{ C}^{-2})$$, determine the oscillation period of the moving charge (rounded to the nearest half second).

While solving, neglect all forces except for the basic Coulomb force.

×