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Answer:
Explanation:
Total force = Force due to gravity + Force due to charges
Total force =
r is the separation between particles.
Charge of a proton(Q) = - (charge of an electron(q) ) = 1.6 * 10^-19 coulombs
Mass of a proton (M)= 1.67×10^-27 kilograms
Mass of an electron (m) =9.11 × 10^-31 kilograms
G=6.67 ×10^−11 N⋅m^2/kg^2
k=8.99 * 10 ^9 N.m^2 / C^2
Plugging in values:
Force due to gravity= (6.67 *10^−11)(1.67 * 10^-27)*(9.11 * 10^-31) /r^2 =1.01 * 10^-67 / r^2
Force due to charges : (8.99 * 10 ^9)*(1.6 * 10^-19)*(1.6 * 10^-19) / r^2 = 2.3 *10^-28 / r^2
We can observe that force due to charges is too large as compared with force due to charge. The ratio of Fc to Fm is 2.3* 10^39. It means that we can ignore force due to gravity.
Total force = Force due to charges.
F = 2.3 *10^-28 / r^2
r =