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Solved: CALC An object moving in the xy-plane is acted on
Chapter 7, Problem 7.36(choose chapter or problem)
QUESTION:
An object moving in the xy-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 \(\alpha\) is a positive constant. Derive an expression for the force expressed in terms of the unit vectors \(\hat{\imath}\) and \(\hat{J}\).
Questions & Answers
QUESTION:
An object moving in the xy-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 \(\alpha\) is a positive constant. Derive an expression for the force expressed in terms of the unit vectors \(\hat{\imath}\) and \(\hat{J}\).
ANSWER:Step 1 of 2
The potential energy is,