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 = 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 the gravitational force? The electric force is times stronger than the gravitational force.

Explanation / Answer

(a) Magnitude of the electric interaction b/w an electron and a proton will be given as :

according to coulomb's law, we have

Fe = ke qe qp / r2

Fe = [(9 x 109 Nm2/C2) (1.6 x 10-19 C) (1.6 x 10-19 C)] / (1.9 x 10-10 m)2

Fe = (2.304 x 10-28 Nm2) / (3.61 x 10-20 m2)

Fe = 6.38 x 10-9 N

(b) Magnitude of the gravitational interaction b/w an electron and a proton will be given as :

using a formula, we have

FG = G me mp / r2

FG = [(6.67 x 10-11 Nm2/kg2) (9.11 x 10-31 kg) (1.67 x 10-27 kg)] / (1.9 x 10-10 m)2

FG = (1.01475379 x 10-67 Nm2) / (3.61 x 10-20 m2)

FG = 2.81 x 10-48 N

(c) In this scenario, we have

Fe / FG = (6.38 x 10^-9) / (2.81 x 10^-48)

Fe / FG = 2.27 x 1039

Fe = (2.27 x 1039) FG

Therefore, an electric force is 2.27 x 1039 times stronger than the gravitational force.

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.