Tro point particles have equal charge $y=500$esu and different masses, $m_1=85gr$ and $m_2=15gr,$ are confined to move freely along the is axis. Note that esu is the unit of electric charge when working with units of mass in grams and distance in centimeters.

The electrical force between the particles is a repelling foree which is derived from the potential energy function $U(x_1,x_2)$ of the two$-$particles system. $U(x_1,x_2)$ depends only on the distance of the particles and is given by

$U(x_1,x_2)=\frac{q^2}{|x_2-x_1|}$

At $t=0$ the particle of mass $m_2$ is at rest at the origin $)=(0,$ and the particle of mass $m,$ begins to move from point $x_1=-52cm$ with velocity ef $=82c\frac{m}{s}$ towards particle $m_2.$