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Accelaration of a sphere being aimed at a point charge

  1. May 9, 2012 #1
    Question

    A point charge [itex]q_{1}=15[/itex][itex]\mu[/itex]F is held fixed in space. From a horizontal distance of 4.00cm , a small sphere with mass [itex]4.00\times10^{-3}kg[/itex] and charge [itex]q_{2}=2.00[/itex][itex]\mu[/itex]F is fired toward the fixed charge with an initial speed of 43.0m/s. Gravity can be neglected.

    What is the acceleration of the sphere at the instant when its speed is 26.0m/s?

    Attempt at the problem

    I used F = (Ke X Q1 X Q2) / (r^2)

    and then used Ae=Fe/Me

    However this is wrong. Does anyone have any ideas which could help me? Thanks
     
  2. jcsd
  3. May 9, 2012 #2

    Doc Al

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    Staff: Mentor

    What did you use for the distance r? That's the first step: find out where the sphere will be when it reaches the given speed. (Hint: Consider energy.)

    Also: what kind of unit is μF? Did you mean μC?
     
  4. May 9, 2012 #3
    Yeah sorry i meant μC and i used the horizontal distance given.
    I take it i should use conservation of energy to find the new distance when it reaches the given speed?
     
  5. May 9, 2012 #4

    Doc Al

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    Staff: Mentor

    Exactly.
     
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