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

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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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