Potential Energy Function problem ()

[ccsmarty]

Homework Statement

An object moving in the xy-plane is acted on by a conservative force described by the potential-energy function U(x, y)= a*(1 / x^{2}+1 / y^{2}), where a is a positive constant. Derive an expression for the force F expressed in terms of the unit vectors i and j.

Homework Equations

Gradient vectors, Partial derivatives

The Attempt at a Solution

I know I have to take the partial derivatives w.r.t. "x" and "y". But when I did that I came up with F = [(2a)/(x^3)]i + [(2a)/(y^3)]j. But the computer says: "The correct answer does not depend on the variable: a." But if I take the a out, it tells me that: "The correct answer involves the variable alpha, which was not part of your answer."
Any ideas??
Thanks in advance

 

[lightgrav]

rename "a" as "alpha" ... maybe "2a" ... ?

 

[ccsmarty]

^ bump

 

[dynamicsolo]

You aren't being ignored: I think we just aren't sure what the computer doesn't like...

It looks like you've evaluated the gradient of U and expressed the components of F correctly. The issue seems to be what "a" was in the potential function you posted. Is that supposed to be \alpha? Computer entry systems are notoriously finicky. (Curse them!)