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Having issues with a seemingly simple problem

  1. Nov 13, 2011 #1
    1. The problem statement, all variables and given/known data
    A particle of mass m is repelled from the origin by a force inversely proportional to the cube of its distance from the origin. Set up and solve the equations of motion if the particle is initially at rest at a distance [itex]x_0[/itex] from the origin.

    (This is one dimensional motion)

    2. Relevant equations
    Newtons Second Law to set up the equation of motion

    3. The attempt at a solution
    The first part is simple. I just had..
    [tex]m \ddot{x}=\frac{k}{x^3}[/tex]

    And this part is right. I am having trouble solving it however. I know it is just a method from my differential equations course but I am having trouble for some reason!
  2. jcsd
  3. Nov 13, 2011 #2

    rude man

    User Avatar
    Homework Helper
    Gold Member

    Try conservation of energy - potential + kinetic.
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