An electron orbits in uniform circular motion about a much heavier(and therefore

Question

An electron orbits in uniform circular motion about a much heavier(and therefore nearly stationary)proton at a distance of 3 X10-10m.
a)What are themagnitude and direction of the columb force exerted on the electronby the proton? b)What is the speed of the electron in its circularorbit?
I already figured out a (2.6 X 10-9N towards theproton), came someone help me figure out b.
a)What are themagnitude and direction of the columb force exerted on the electronby the proton? b)What is the speed of the electron in its circularorbit?
I already figured out a (2.6 X 10-9N towards theproton), came someone help me figure out b. b)What is the speed of the electron in its circularorbit?
I already figured out a (2.6 X 10-9N towards theproton), came someone help me figure out b.

Explanation / Answer

For the electron to be in circular motion, the electrostaticforce of attraction between the proton and the electron should beequal to the centripetal force on the electron. therefore we should have ke^2/r^2 = mv^2/r or v^2 = ke^2/mr      =(9*10^9)(1.6*10^-19)^2/[(9.11*10^-31)(3*10^-10)]    =0.843*10^12 then the speed of electron is v = sqrt[0.843*10^12]          = 0.918*10^6m/s          =9.18*10^5m/s
Hope this helps you

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