An electron and proton are separated by a distance of 1.8 * 10^-10 m ( roughly t

Question

An electron and proton are separated by a distance of 1.8 * 10^-10 m ( roughly the diameter of a single atom). What is the magnitude of the electric interaction between the electron and the proton? Magnitude of electric force = What is the magnitude of the gravitational interaction between the electron and the proton? magnitude of gravitational force = In this scenario, how many times stronger is the electric force than to gravitational force? The electric force is times stronger than the gravitational force.

Explanation / Answer

a. magnitude of electric interaction = kq1q2/r^2 = 9 x 10^9 x 1.6 x 10^-19 x 1.6 x 10^-19 /(1.8 x 10^-10)^2 = 7.11 x 10^-9 N

b. magnitude of gravitational interaction = Gm1m2/r^2 = 6.67 x 10^-11 x 1.67 x 10^-27 x 9.1 x 10^-31 /( 1.8 x 10^-10)^2 = 3.128 x 10^-48 N

c. no of times electric force is stronger than gravitational force= 7.11 x 10^-9 N / 3.128 x 10^-48= 2.27 x 10^39

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