# Force of Gravity?

I started pondering random thoughts earlier today and this was one of them; what is the force of gravity between a proton and electron in a hydrogen atom? Using the equation to find this force (F = G$\frac{}m[itex]_{}1$ * m$_{}2${}r$^{}2$[/itex]) I came up with my answer. However I wanted to ensure that my math was correct (and values for that matter) so I came here to ask.

Mass of a Proton ≈ 1.67 * 10$^{}-27$kg
Mass of an Electron ≈ 9.1 * 10$^{}-31$kg
Distance ≈ 0.53 * 10$^{}-10$m

Knowing that the gravitational constant is 6.667300 * 10$^{}-11$N-m$^{}2$/kg$^{}2$ I did the math and came up with ≈ 3.61 * 10$^{}-47$. Can someone confirm or deny this answer for me, and if it is wrong break down the math so I can get the correct values on my next calculation.

Thanks,
Taco

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