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Force of Gravity and Gravitational Potential Energy Functions from Zero to Infinity (but not beyond)

Calculus is used to determine the force of gravity and the gravitational potential energy between an object and a planet, inside and outside the planet. Equations and graphs are determined and discussed. Want Lecture Notes? This is an AP Physics C: Mechanics topic.

Content Times:
0:01 Basic universal gravitation equations
1:07 Outside the planet
1:42 Assumptions for inside the planet
3:38 Deriving mass inside r
4:23 Determining the equation for force of gravity inside the planet
5:24 Graphing the force of gravity inside the planet
5:59 Determining the equation for universal gravitational potential energy inside the planet
7:37 Solving for the constant C
8:49 The equation for universal gravitational potential energy inside the planet
9:41 Looking over the graphs

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Thank you to Youssef Nasr for transcribing the English subtitles of this video.

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