# Problem: Does the potential energy of an electron and a proton increase or decrease when the distance is increased from 53 pm to 1.0 nm?

###### FREE Expert Solution

E → electrostatic potential energy

$\overline{)\mathbf{∆}\mathbf{E}\mathbf{=}{\mathbf{E}}_{\mathbf{final}}\mathbf{-}{\mathbf{E}}_{\mathbf{initial}}}$

$\overline{)\mathbf{E}\mathbf{=}{\mathbf{k}}_{\mathbf{e}}\frac{{\mathbf{Q}}_{\mathbf{1}}\mathbf{·}{\mathbf{Q}}_{\mathbf{2}}}{\mathbf{d}}}$

Initial distance of  53 pm:

1 pm = 10-12 m

d = 5.3x10-11 m

Einitial = -4.34x10-18 N•m = -4.34x10-18 J

Final distance of 1.0 nm:

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###### Problem Details

Does the potential energy of an electron and a proton increase or decrease when the distance is increased from 53 pm to 1.0 nm?