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11. 0.25/1.7! points l Previous Answers he \"Boh he Hydrog Electron Proton a.) W

ID: 1588785 • Letter: 1

Question

11. 0.25/1.7! points l Previous Answers he "Boh he Hydrog Electron Proton a.) What is the electric force felt by the electron? x N b.) What speed must the electron have in order to maintain its orbit? m/s mi/hr c.) Why does the electron orbit around the proton (instead of vice versa)? (Select all that apply.) because the proton feels no force because the proton is more massive because the proton is the nucleus A Your work in question(s) 9 wilalso be submitted or saved. Submit Assignment save Assignment Progress d th gle p Earth orbi he S 1.5.10

Explanation / Answer

a) Let q_p = the charge of the proton = 1.602×10^-19 C
Let q_e = the charge of the electron = -1.602×10^-19 C
Let r = the radius of the orbit = 1.5×10^-10 m
Let k = 8.99×10^9 N•m²/C²
Let Fe = the electric force from the proton to the electron where a negative value indicates attraction =
k(q_p)(q_e)/r² = (8.99*10^9*1.6*10^-19*1.6*10^-19)/(1.5*10^-10)^2 = 1.023*10^-8 N

b) Let m = the mass of the electron = 9.1x10^-31 kg
Let V = the tangential velocity of the electron
Let F_c = the centripetal force of the electron = m(V²)/r
In a circular orbit, F_c = F_e
m(V²)/r = k(q_p)(q_e)/r² = 1.023*10^-8
V² =   (1.023*10^-8 * 1.5*10^-10)/9.1*10^-31 = 1686263736263.73

V = 1298562.18 V

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