A force on an object is given by F(x) = (2.00 N/m)x + (-3.00 N/m³)x³. What is a potential energy function for this conservative force?

Question

Quizplus · Accepted Answer

The potential energy function U(x) is found by integrating the force function F(x) with respect to x and adding a constant. Integrating F(x) = (2.00 N/m)x + (-3.00 N/m³)x³ gives U(x) = (-1.00 N/m)x² + (0.750 N/m³)x⁴ + C, which matches option D.

A Force on an Object Is Given by F(x) =