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.
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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