Having issues with a seemingly simple problem

  • Thread starter Xyius
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  • #1
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Homework Statement


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)

Homework Equations


Newtons Second Law to set up the equation of motion


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!
 

Answers and Replies

  • #2
rude man
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Try conservation of energy - potential + kinetic.
 

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