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Electrons velocity from its KE

  1. Dec 6, 2015 #1
    1. The problem statement, all variables and given/known data
    what is the speed of an electron with kinetic energy of (a) 100000 eV

    2. Relevant equations
    m=m0/√(1-β2)
    K=Δmc2

    3. The attempt at a solution
    plug first into second equation, isolate v and it eventually comes out to be
    v=c(1-(1+K/m0c2)-2)
    plug in numbers and i get a velocity of 0.9*108 m/s
    the answer is 1.6*108 m/s in the textbook.

    Note: This isn't a school assignment. I am self studying for physics olympiad, and this is my first encounter with relativity from a mathematical stand point.
     
  2. jcsd
  3. Dec 6, 2015 #2

    TSny

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    Homework Helper
    Gold Member

    Your method is correct. So, the mistake must be in plugging in the numbers and evaluating.
     
  4. Dec 6, 2015 #3
    will try again, thanks
     
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