Speed of proton and alpha particle

colmes
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Homework Statement


An alpha particle (4 times the mass of a proton with a charge of +2e) is at rest 1.0 * 10^-12 m from a stationary proton. The 2 particles immediately move apart. Find the speed of each particle when they are infinitely far from each other.


Homework Equations



Electrical Energy = kq1q2/r
Kinetic Energy = 0.5mv^2

The Attempt at a Solution



I used the equation kq1q2/r to find the potential energy of the system and converted the potential energy into 0.5mv^2 to solve for the velocity. I am not sure that I have the right answer.
 
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right approach ... but which one is moving faster? how many times as fast is it?
what fraction of the total KE does the fast one have?
 

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