I am having trouble with my physics homework. If you could give a thorough expla

Question

I am having trouble with my physics homework. If you could give a thorough explanation for these problems, with the correct answer, that would be greatly appreciated.

Fram Rwimw Part 2 Pain, Christi Insert Design Layout References Mailings Review view U Tell me what you want to do Home Share AaB Times New RKT 12 AT A Aa A Paste N BI u xi A-' -A E E Normal No Spac, Heading 1 Heading 2 Title Subtitle Subtle Em Emphasi Intonso E Strong auoto Select Format Painter First group to correctly answer this question earns 8 clicker points! We will make the classical approximation that the hydrogen atom consists of a single (point charge) electron orbiting a single (point charge) proton (as seen in a reference frame at rest with the hydrogen alom's nucleus How many times does the electron orbit the proton per second in this classical approximation, if we assume the electron-proton separation is r 0.05 nm? Ignore any electrodynamic effects. Hint: this is just a centripetal force problem Note: m, 9.1 x 103 kg 0.05 nm 1.6 x 10' C Derive the formula for the electric field inside the cavity (r

Explanation / Answer

3.

q = magnitude of charge on each proton and electron = 1.6 x 10-19 C

r = saperation between proton and electron = 0.05 x 10-9 m

w = angular speed of electron

m = mass of electron = 9.1 x 10-31

centripetal force to move in orbit is provided by the electrcostatic force of attaraction between proton and electron

hence

Fc = Fe

m r w2 = k q2/r2

(9.1 x 10-31) (0.05 x 10-9) w2 = (9 x 109) (1.6 x 10-19)2 /(0.05 x 10-9)2

w = 4.5 x 1016 rad/s = 4.5 x 1016 rad/s = (4.5 x 1016/6.28) times/sec = 7.17 x 1015

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