1. The problem statement, all variables and given/known data A potential energy function for a particle moving in one-dimension is given as: V (x) =k1x^2/(2)+k2/x (a) Locate all the equilibrium points. (b) Show that the motion is always periodic for any amount of total energy. (c) What is the frequency f the motion if the amplitude of oscillation is very small? 2. Relevant equations 3. The attempt at a solution: I figured out part a, and I couldn't figure out how to do c. Any advice on how to do it would be appreciated. My explanation for b was as follows: since the second derivative of the potential is positive, the particle will undergo periodic motion since no amount of energy can make it "escape", rather, it will be trapped forever and undergo periodic motion since the potential energy graph is positive. Is this a correct explanation?