Atomic physicists ignore the effect of gravity within an atom. To see why, calcu
ID: 844421 • Letter: A
Question
Atomic physicists ignore the effect of gravity within an atom. To see why, calculate and compare the gravitational and electrical forces between an electron and a proton separated by 1.4 x 10-10 m. The mass of the proton is 1.6726 x 10 -27 kg and that of the electron is 9.1094 x 10-31 kg. The charge of the proton and electron is the same, e = 1.602 x 10-19 Coulombs. The gravitational constant is 6.67x 10-11 Nm2kg-2.
The force due to the electrostatic interaction between the two particles is?
Hint 11768208600.668 N is not the answer. Neither is 1.18e-8 N.
Please show all work and make it easy to follow. I need to understand how to do this.
Explanation / Answer
gravitational force between two protons Fg = Gm1m2/r^2
Fg = 6.67e-11 *1.67e-27 *9.11e-31/(1.4e-10)^2
Fg = 5.18 *10^-48 N
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electrical force Fe = Kq1q2/r^2
where q1 is the charge of proton = 1.6 e-19 C
q1 is the charge of electron = 1.6e-19 C so
Fe = 9e9 *1.6e-19 *1.6e-19/(1.4e-10)^2
Fe = 11.755*10^-9 N or 11.755nN
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