Kinetic Energy Gain due to Coulomb Force

[quantumfoam]

Homework Statement

Hi guys! I have a problem pertaining to the kinetic energy gained by a point charge from interacting with a another point charge. Here's the problem: A point charge of mass m₁ and charge q is placed near another point charge with mass m₂ and charge Q. Both charges are of equal sign. The two charges are separated by a distance R. If the charge q was held stationary and the charge Q was allowed to move, what would be the resultant velocity of charge Q given that it has no initial velocity?

Homework Equations

ΔV=kQq/R and ΔKE=(m₂/2)(v²)

The Attempt at a Solution

I equated the change in kinetic energy of Q that would result from the electric repulsion with the change in electric potential energy between the two charges. I then rearranged the equality to solve for v:

v=(2kQq/Rm₂)^1/2

Is this a correct method of solving this problem?

 

[Satvik Pandey]

I think your solution is right.