(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Some of the earliest atomic models held that the orbital velocity of an electron in an atom could be correlated with the radius of the atom. If the radius of the hydrogen atom is 10^−10 m and the electrostatic force is responsible for the circular motion of the electron, what is the ratio of the gravitational force between electron and proton to the electrostatic force? How does this ratio change if the radius of the atom is doubled? Explain {Answer: Fg/Fe = 4.39 x 10-40}.

2. Relevant equations

fe = (1/4πε0)*(q^2/r^2)

fg = G m^2/r^2

3. The attempt at a solution

The answer says Fg/Fe, so I divided fg/fe to get (Gm^2)/((9*10^9)q^2). I tried every different way possible but cannot manage to get the correct answer. Can anyone help me solve this problem, I've been stuck for a long time. I preferred you show me how to do it and how you got to the final answer.

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# The ratio of the gravitational force between electron and proton

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