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## Homework Statement

Suppose an electron was bound to a proton, as in the hydrogen atom, but by the gravitational force rather than by the electric force. What would be the radius of the first Bohr orbit?

## Homework Equations

r = h^2 / 4∏^2*mke^2

## The Attempt at a Solution

I'm not sure how to manipulate the above equation to account for gravitational force. Should I start by looking at that fact

F = ma

kZe^2/r^2 = mv^2/r