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-   -   Having issues with a seemingly simple problem (http://www.physicsforums.com/showthread.php?t=550027)

Xyius Nov13-11 09:46 AM

Having issues with a seemingly simple problem
 
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!

rude man Nov13-11 03:47 PM

Re: Having issues with a seemingly simple problem
 
Try conservation of energy - potential + kinetic.


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