How to Solve a Potential Energy Problem with Given Force Components?

Thread starter dsurve007
Start date Oct 18, 2014
Tags

Energy Potential Potential energy

AI Thread Summary

To solve the potential energy problem associated with the force F = 4xy i + 2x^2 j, one must find a function U(x, y) that satisfies the equations ∂U/∂x = -4xy and ∂U/∂y = -2x^2. The user attempted to find the magnitude of the force but encountered difficulties. The key is to integrate the partial derivatives to derive the potential energy function. Proper integration will yield the correct potential energy function U(x, y).

Oct 18, 2014

dsurve007

Homework Statement

The potential energy function associated with the force F= 4xyicap + 2x^2jcap is

Homework Equations

F= -dU/dx

The Attempt at a Solution

i treid to find the magnitude of force n then put in eq bt failed plese help

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Oct 18, 2014

hilbert2

Science Advisor

Insights Author

You are supposed to find a function U(x,y) such that ##\frac{\partial U}{\partial x} = -4xy## and ##\frac{\partial U}{\partial y}=-2x^{2}##.

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