Transcription of Gauss’s Law for Gravity - pgccphy.net
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Gauss’s Law for Gravity - pgccphy.net
gauss s Law for Simpson, of Physical Sciences and EngineeringPrince George s Community CollegeDecember 6, 2006 Newton s Law of GravityNewton s law of Gravity gives the forceFbetween two point massesMandm, separated by a distancer:FDGMmr2;(1)whereGis the universal gravitational constant,6:67428 10 11m3kg 1s 2. By Newton s second law,force is related to acceleration byFDma:(2)Equating equations (1) and (2), we can solve for the accelerationadue to the Gravity of a point charge:aDgDGMr2:(3)Newton was able to show that the gravitational field due to a uniform sphere of mass is the same as if thesphere were a point mass located at the sphere s center of mass.
Gauss’s Law for Gravity D.G. Simpson, Ph.D. Department of Physical Sciences and Engineering Prince George’s Community College December 6, 2006
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