Answer: CALC An object moving in the xy-plane is acted on

QUESTION:

CALC An object moving in the \(x y \text {-plane }\) is acted on by a conservative force described by the potential-energy function \(U(x, y)=\alpha\left(1 / x^{2}+1 / y^{2}\right)\), where  is a positive constant. Derive an expression for the force expressed in terms of the unit vectors \(\hat{1} \text { and } \hat{\jmath}\).

Equation Transcription:

and  

Text Transcription:

xy-plane

U(x,y)=a(1/x2+1/2)

\hat{1} \text { and } \hat{\j}