Two identical metallic balls of mass \(m\) and radius \(R\) are initially far apart. One sphere is of charge \(Q\) and the the other is uncharged (neutral). After they are released due to electrostatic attraction the two spheres come together and collide. If the speed \(v\) of the balls after collision can be written as:
###### Image Credit: Flickr Russ B.

\[v=\sqrt { \frac { (\ln(a)-b){ Q }^{ c } }{ (\ln(a))mR } } \]

what is the value of \(a+b+c\)?

**Details and Assumptions**

The collision is perfectly elastic.

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