An electron and a proton are separated by a distance of 1.6x1010 m (roughly the

Question

An electron and a proton are separated by a distance of 1.6x1010 m (roughly the diameter of a single atom). What is the magnitude of the electric interaction between the electron and the proton? Number magnitude of electric force- What is the magnitude of the gravitational interaction between the electron and the proton? Number magnitude of gravitational force- in this scenario, how many times stronger is the electric force than the gravitational force? Number The electric force is times stronger than the gravitational force.

Explanation / Answer

a) FE = k q1 q2 / r2

= (9 * 109 * 1.6 * 10-19 * 1.6 * 10-19) / (1.6 * 10-10)2

magnitude of electric force = 9 * 10-9 N

b) FG = G m1 m2 / r2

= (6.67 * 10-11 * 9.1 * 10-31 * 1.67 * 10-27) / (1.6 * 10-10)2

magnitude of gravitational force = 3.96 * 10-48 N

c) FE / FG = 9 * 10-9 N /  3.96 * 10-48

FE = 2.27 * 1039 FG

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