# Problem: A gold nucleus has a radius of 7.3x10-15 m and a charge of +79e. Through what voltage must a particle with its charge of +2e be accelerated so that it has just enough energy to reach a distance of 2.0*10-14 m from the surface of a gold nucleus? (Assume the gold nucleus stays stationary and serves as a point charge).

###### FREE Expert Solution

We can write, from the law of conservation of energy:

$\overline{)\frac{\mathbf{k}{\mathbf{q}}_{\mathbf{1}}{\mathbf{q}}_{\mathbf{2}}}{\mathbf{r}}{\mathbf{=}}{\mathbf{V}}{\mathbf{q}}}$

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###### Problem Details

A gold nucleus has a radius of 7.3x10-15 m and a charge of +79e. Through what voltage must a particle with its charge of +2e be accelerated so that it has just enough energy to reach a distance of 2.0*10-14 m from the surface of a gold nucleus? (Assume the gold nucleus stays stationary and serves as a point charge).