An electron and a proton are separated by a distance of 1.9 times 10^-10 m (roug

Question

An electron and a proton are separated by a distance of 1.9 times 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 = Number N What is the magnitude of the gravitational interaction between the electron and the proton? magnitude of gravitational force = Number N In this scenario, how many times stronger is the electric force than the gravitational force? The electric force is Number times stronger than the gravitational force.

Explanation / Answer

ELECTRic force = k q1 q2 / r^2

= (9 x 10^9) (1.6 x 10^-19) (1.6 x 10^-19) / (1.9 x 10^-10)^2

= 6.38 x 10^-9 N ......Ans

Gravitational force = G m1 m2 / r^2

= (6.67 x 10^-11)(9.109 x 10^-31)(1.67 x 10^-27)/ (1.9 x 10^-10)^2

= 2.81 x 10^-46 N .......Ans

ratio = 6.38 x 10^-9 / 2.81 x 10^-46

= 2.27 x 10^37 times

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