1. The problem statement, all variables and given/known data Given a conservative force, how can we obtain the change in potential energy? Given a potential energy function, how can we determine the associated conservative force? One dimensional. 2. Relevant equations Fx = -du/dx ΔU = -∫ F dx 3. The attempt at a solution I know I can use the above expressions, however, how can I arrive at these expressions? My textbook and class notes simply say BY DEFINITION: We will say the change in potential energy is equal to negative of the work done by the internal conservative force. I know ΔKE = ∫ F ⋅ dr I can integrate the right side but I obtain something like G(x1) - G(x2) But then we define U(x) = -G(x) ? So then to answer the question, should I simply use my equations listed above? Or is there a better way to approach this?