1. Not finding help here? Sign up for a free 30min tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Electrical forces, application of Colomb's law

  1. Jul 13, 2017 #1
    1. The problem statement, all variables and given/known data
    "In an early attempt to understand atomic structure, Niels Bohr modeled the hydrogen atom as an electron in uniform circular motion about a proton with the centripetal force caused by Colomb attraction. He predicted the radius of the electron's orbit to be 5.29x10^(-11) m. Calculate the speed of the electron and the frequency of its circular motion.

    2. Relevant equations

    Fe = (kQq)/r^2
    Fc = (mv^2)/r
    Ac = (v^2)/r
    3. The attempt at a solution

    Honestly guys I this ones gonna take me a while so please work with me.

    What I don't understand is:

    Wouldn't they have to give us the velocity of the electron? Because there is a tangential acceleration and then radial acceleration.

    So Colombs force is the centripetal force, [itex] (kQq)/r^2 = (mv^2)/r [/itex]

    [itex] (kQq)/r = mv^2 [/itex]

    where k = 8.99 x 10^9, in this case proton has a charge of +e = 1.602 x 10^-19 C and electron has charge of -e = -1.602 x 10^-19 C, r = 5.29x10^11 m

    so

    [itex] ( (8.99 x 10^9)(1.602 x 10^{-19} C ) (-1.602 x 10^{-19} C ) ) / 5.29x10^{11} m = (mv^2) [/itex]

    Does this seem right so far?

    Now my concern is finding m. I'm not sure how to find the mass of an electron. The value is not given anywhere in my book... I'm really lost and this question is frustrating. If anyone can help I would appreciate it.
     
  2. jcsd
  3. Jul 13, 2017 #2

    TSny

    User Avatar
    Homework Helper
    Gold Member

    You will need to look up the mass of the electron. If it's not in your textbook, check the web. Otherwise, your work looks good.

    You might need to reconsider your signs. Left side of your last equation is negative while right side is positive.

    (Typo: 5.29x10^11 m would be a pretty large atom.)
     
  4. Jul 14, 2017 #3
    So would my answer be [itex] \sqrt{(kQq)/(rm)} = v [/itex] where k is constant Q is charge of proton q is charge of electron, r radius m mass??

    ?
     
    Last edited: Jul 14, 2017
  5. Jul 14, 2017 #4

    haruspex

    User Avatar
    Science Advisor
    Homework Helper
    Gold Member
    2016 Award

    Yes.
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?
Draft saved Draft deleted



Similar Discussions: Electrical forces, application of Colomb's law
Loading...