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Chapter 12.2 - PH 2223 Gravitation(Chapter 12 Last lecture...

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1 PH 2223 Gravitation (Chapter 12) Last lecture: Gravitational Force G vs g Gravitational Today (8/21/2008): Gravitational Force Gravitational Potential Energy U and F for Arbitrary Bodies
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2 Gravitational Force (Vector) Put origin on mass (point) of interest . Use same origin for all. Measure θ from nearest x-axis Get ± sign from quadrant ( +, (-, +) ( -,- ( +,- = vector of length 1 in x-direction = vector of length 1 in y-direction
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3 Problem 12.10 Four identical masses of 800 kg each are placed at the corners of a square whose side length is 10.0 cm. What is the net gravitational force (magnitude and direction) on one of the masses (A) due to the other three? A C B D
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4 Problem 12.10 A C B D
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When only conservative forces act upon an isolated system, energy is conserved, i.e., gain (loss) of kinetic energy equals loss (gain) of potential energy. The change in the potential energy is the The change in the potential energy is the negative of the work done by the force. negative of the work done by the force. ΔU = - W ΔU = - W Consider a mass m moving from point A to point B in the gravitational field of the Gravitational Potential Energy
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The work done for any force is Gravitational force always along r direction in this example: Units of U are Joules!
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