Calculus based review of Universal Gravitation including Newton’s Universal Law of Gravitation, solving for the acceleration due to gravity in a constant gravitational field, universal gravitational potential energy, graphing universal gravitational potential energy between an object and the Earth, three example problems (binding energy, escape velocity and orbital energy), and Kepler’s three laws.

For the calculus based AP Physics C mechanics exam.

Content Times:

0:10 Newton’s Universal Law of Gravitation

1:52 Solving for the acceleration due to gravity

2:02 Universal Gravitational Potential Energy

4:52 Graph of Universal Gravitational Potential Energy between an object and the Earth

6:01 Correcting the Universal Gravitational Potential Energy Graph

7:30 Binding Energy Example Problem

9:41 Escape Velocity Example Problem

11:19 Orbital Energy Example Problem

13:52 Kepler’s Three Laws

14:17 Kepler’s First Law

16:19 Kepler’s Second Law

16:42 Deriving Kepler’s Third Law

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