Unformatted text preview: problem just reduces to summing the contributions of all the individual bodies. The force can then be found by taking the negative of the spatial derivative in the usual way (see Newton's Second Law ) We will use the concept of the gravitational potential energy to prove Newton's Shell Theorem, which asserts that a spherical mass can be treated as if all its mass were concentrated at its center for the purposes of calculating the gravitational force on an object outside it, and that a massive, thin shell exerts no gravitational force on a mass inside itself. Furthermore, we will state the Principle of Equivalence, which states that inertial mass, appearing in Newton's Second Law, is the same as the gravitational mass appearing the Universal Law of Gravitation....
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 Fall '10
 DavidJudd
 Physics, Force, Mass, Potential Energy, General Relativity

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