Universal Gravitational Potential Energy Derivation

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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

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