# Placing a negative charge in the field of positive charge

If we put a negative charge in the field of a positive charge and I know that the two charges attract each other, will the two charges attract each other until they touch?

$\vec{F_{Coul}} = k_e\cdot \frac{q_{neg}\cdot q_{pos}}{r^2}\cdot\vec{u_{r}} = \frac{d(m\vec{v})}{dt}$
with r the distance between the two particles and $\vec{u_r}$ the versor of the line that joins the two particles.
So they will move with velocity $\vec{v}$ towards each other (obviously, the motion is computed for each of them separately).