Universal Gravitational Potential Energy Derivation

Calculus is used to derive the Universal Gravitational Potential Energy equation. Want Lecture Notes? http://www.flippingphysics.com/univer... This is an AP Physics C: Mechanics topic. Content Times: 0:00 Equation Review 0:41 Conservative Force Review 2:34 Substituting in Force of Gravity 4:14 Evaluating the Integral 5:10 Defining the Location of Zero Energy 6:45 The Graph Force of Gravity and Gravitational Potential Energy Functions from Zero to Infinity (but not beyond) https://www.flippingphysics.com/gravi... Next Video: Deriving the Binding Energy of a Planet https://www.flippingphysics.com/bindi... Previous Video: Universal Gravitational Potential Energy Introduction https://www.flippingphysics.com/unive... Thank you to Mr. Lane and the rest of my wonderful Patreon supporters. Please consider supporting me monthly at   / flippingphysics   Thank you to Julie Langenbruner and John Paul Nichols being my Quality Control Team for this video. http://flippingphysics.com/quality-co... #Derivation #UniversalGravitationalPotentialEnergy #APPhysicsC