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Gravitation

# Gravitation - Law is equivalent to the gravitational mass...

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Gravitation: Potential Terms Gravitational potential energy - Is defined by the integral: U ( r ) = - Where is the force due to gravity and we define U (∞) = 0 . Doing the integral gives: U ( r ) = - which reduces to U = mgh near the earth. Gravitational potential - Is defined as the gravitational potential energy that a 1 kilogram mass would have at some point in space. It is given by: Φ g = - which reduces to Φ g = gh near the earth. Principle of Equivalence - Asserts that all types of matter fall at the same rate. That is, g for a brick is the same as g for water. This means that the inertial mass appearing in Newton's Second
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Unformatted text preview: Law is equivalent to the gravitational mass appearing in the Universal Law of Gravitation. Inertial mass - The mass m i that appears in Newton's Second Law F = m i a . Gravitational mass - The mass that appears in the Universal Law of Gravitation. Shell Theorem - States that any spherical mass can be treated as though all its mass were concentrated at its center for the purposes of calculating gravitational force. Also, that a spherical shell of matter exerts no gravitational force on a mass inside it. Formulae Energy for a circular orbit around the sun E =...
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