Speed of Electron in Two-Charge System

[Tcat]

Two stationary point charges and +3.00*10^-9 C and +2.00*10^-9 C
are separated by a distance of 50.0 cm. An electron is released from rest at a point midway between the two charges and moves along the line connecting the two charges. What is the speed of the electron when it is 10.0 cm from the +3.00 *10^-9 C charge? I first tried to find U_i and U_f by using the formula U_i= (k*e*q_1*q_2)/(r_1) and then the same for U_2=(k*e*q_1*q_2)/(r_2) I used .25 for r_1 and .35 for r_2. After that I and used the formula U_i - U-f = 1/2*1/e*m*v^2. It didn't work, maybe I am using the wrong values for the radii. Please Help!

 

[Doc Al]

You need to calculate the potential energy of the electron with respect to each charge, not the potential energy of the charges with respect to each other. Like this:
$$U_i = k q_1 q_e/r_1 + k q_2 q_e/r_2$$