"Assume an electron with charge -e follows a circular orbit around a nucleus with charge Ze, where Z is the number of protons. The distance at which the electron orbits is r = a(0)/Z. Write an expression for the velocity at which the electron must travel to maintain this orbit..."
I was thinking using the magnitude of the electric force between the the nucleus and the electron then using the equation W = Fd to get it in joules then using W = .5mv^2 to get velocity, but i don't know if that applies to this particular problem. Can anyone help me out? Btw no numbers on this problem. I need to express it in variables.
I was thinking using the magnitude of the electric force between the the nucleus and the electron then using the equation W = Fd to get it in joules then using W = .5mv^2 to get velocity, but i don't know if that applies to this particular problem. Can anyone help me out? Btw no numbers on this problem. I need to express it in variables.
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The force attracting the electron is k . Ze . e / r^2 = k . Z^3 . e^2 / a(0)^2
This is the centripetal force
mV^2 / r = mV^2 Z / a(0) = k Z^3 e^2 / a(0)^2
V^2 = k Z^2 e^2 / m a(0)
V = Z . e . √ k / m a(0)
Don't use W = Fd... its going in a circle....no work is done.... formula is not correct when the "d" is at right angles to the "F"
This is the centripetal force
mV^2 / r = mV^2 Z / a(0) = k Z^3 e^2 / a(0)^2
V^2 = k Z^2 e^2 / m a(0)
V = Z . e . √ k / m a(0)
Don't use W = Fd... its going in a circle....no work is done.... formula is not correct when the "d" is at right angles to the "F"