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What is the speed of the proton?

  1. May 1, 2012 #1
    what is the speed of the proton??

    1. The problem statement, all variables and given/known data
    What is the speed of a proton after being accelerated from rest through a 50x106 potential difference?

    m_proton = 1.67x10-27kg
    C = 1.6x10-19 c
    * This question is in Relativity.
    2. Relevant equations
    Voltage(v) = Joule(j)/Columb(c)
    K = 1/2(mu2)


    3. The attempt at a solution
    Firstly, i timed 1.6x10-19 to 50x106 to find the Energy(j
    ). Then plugged into the kinetic energy formula to find u(speed_proton). But which is wrong. what is the mistake?
     
    Last edited: May 1, 2012
  2. jcsd
  3. May 1, 2012 #2
    Re: what is the speed of the proton??

    Hi. It seems OK to me. How did you judge you are wrong?
    By the way
    m_proton = 1.67x106kg is too heavy! -6?, not sure. You should check it in some physics table.
     
  4. May 1, 2012 #3
    Re: what is the speed of the proton??

    it should be -27. I was doing a online HW. when i typed in the answer, the system said that it was wrong.
     
  5. May 1, 2012 #4
    Re: what is the speed of the proton??

    Does proton carry the same charge as electron??(c=1.6x10^-19)
     
  6. May 1, 2012 #5
    Re: what is the speed of the proton??

    If you use KE equation you get a speed of about 1x10^8 m/s.....this is a bit too close to the speed of light and you may need to use relativity equation.
     
  7. May 1, 2012 #6

    tms

    User Avatar

    Re: what is the speed of the proton??

    If the speed is relativistic, then that is not the correct equation for kinetic energy.
     
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