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Electric Charges Causing Centripetal Motion

  1. Jul 7, 2013 #1
    1. The problem statement, all variables and given/known data

    A particle of charge Q is fixed at the origin of an xy coordinate system. At t = 0 a particle (m = 0.671 g, q = 5.90 µC is located on the x axis at x = 15.6 cm, moving with a speed of 54.4 m/s in the positive y direction. For what value of Q (in μC) will the moving particle execute circular motion? (Neglect the gravitational force on the particle.)

    2. Relevant equations

    F=F
    F=kqQ/r^2
    F=mv^2/r

    3. The attempt at a solution

    F=F
    kqQ/r^2=m(v^2)/r
    kqQ=m(v^2)r
    (8.99*10^9)(5.9*10^-6 C)(Q) = (.000671 kg)((54.4 m/s)^2)(.156 m)
    53100 * Q = .30977
    Q= .0000058337 C
    Q= 5.8 μC

    I have not been able to find my error, but I did something wrong, as the wileyplus marks it incorrect.
     
  2. jcsd
  3. Jul 7, 2013 #2

    Andrew Mason

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    Science Advisor
    Homework Helper

    Welcome to PF!

    What is the direction of the force? (Hint: attractive or repulsive?).

    AM
     
  4. Jul 7, 2013 #3
    Ahh. Thank you!
     
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