See the replies to your question below.
By the way this question is a bit misleading. The ELECTRICAL force between the electron and proton, not gravity, is the thing that keeps the electron in orbit around the proton (ignoring modern physics, quantum mechanics)
If the gravitational force between the electron (9.11 ✕ 10-31 kg) and the proton (1.67 ✕ 10-27 kg) in a hydrogen atom is 1.06 ✕ 10-47 N, how far apart are the two particles?
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