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A gun that fired charged particles

  1. Feb 13, 2007 #1
    1. The problem statement, all variables and given/known data
    A gun that fires charged particles accelerates a 5-μC charge from rest through a potential difference of 50,000 V. The particle has a mass of 0.025 kg. With what speed does it leave the gun?

    2. Relevant equations
    EPE = KE
    (1/2)qV = (1/2)mv^2 , solve for v^2

    3. The attempt at a solution
    EPE = (1/2) x (5^-6 Coulombs) x (50,000 Volts)

    KE = (1/2) x ( 0.025kg) x (v^2)

    where the problem lies:
    When i solve for velocity i get 3.16 m/s, however the answer my teacher gave to this problem was 4.5 m/s. Am i missing something here??
  2. jcsd
  3. Feb 13, 2007 #2


    User Avatar

    Staff: Mentor

    Are you sure that the electrical potential energy is (1/2)qV?
  4. Feb 13, 2007 #3
    ahhh...nothing like a good 'ole misprint on the formula sheet to trip you up. thanks for the insight!!
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