Vector calculus

Gauss's law for gravity

In physics, Gauss's law for gravity, also known as Gauss's flux theorem for gravity, is a law of physics that is equivalent to Newton's law of universal gravitation. It is named after Carl Friedrich Gauss. It states that the flux (surface integral) of the gravitational field over any closed surface is equal to the mass enclosed. Gauss's law for gravity is often more convenient to work from than is Newton's law. The form of Gauss's law for gravity is mathematically similar to Gauss's law for electrostatics, one of Maxwell's equations. Gauss's law for gravity has the same mathematical relation to Newton's law that Gauss's law for electrostatics bears to Coulomb's law. This is because both Newton's law and Coulomb's law describe inverse-square interaction in a 3-dimensional space. (Wikipedia).

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Teach Astronomy - Universal Law of Gravity

http://www.teachastronomy.com/ Newton's master work is the universal law of gravity. Newton's law of gravity states that every object in the universe, every particle, every planet, every star, every galaxy, attracts each other with a force that is proportional to each of the masses of two

From playlist 03. Concepts and History of Astronomy and Physics

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Physics - Mechanics: Ch. 18.1: Gravity with Mass Distribition (10 of 17) Gauss' Law for Gravitation

Visit http://ilectureonline.com for more math and science lectures! In this video I will calculate the force of gravity on mass m from an infinite sheet of mass using Gauss' Law for Gravitation. Next video in this series can be found at: https://youtu.be/Aa6Dwod5umg

From playlist PHYSICS 18.1 GRAVITY WITH MASS DISTRIBUTION

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Physics - Mechanics: Ch. 18.1: Gravity with Mass Distribition (11 of 17) Gauss' Law for Gravity: Ex.

Visit http://ilectureonline.com for more math and science lectures! In this video I will calculate the gravitation field strength of planet of mass M on a satellite at a height h away from the planet. Next video in this series can be found at: https://youtu.be/rKwablFTCNU

From playlist PHYSICS 18.1 GRAVITY WITH MASS DISTRIBUTION

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Physics - Mechanics: Gravity (1 of 20) Newton's Law of Gravity

Visit http://ilectureonline.com for more math and science lectures! In this video I will explain Newton's Law of Gravity and give an example of how it works.

From playlist PHYSICS 18 GRAVITY

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Teach Astronomy - Newton and Cosmology

http://www.teachastronomy.com/ Newton viewed both time and space as smooth, absolute, and Euclidian. Newton's gravity law is an inverse square law, so the gravity of every object diminishes with the square of the distance. However it never reaches zero because one over the square of a la

From playlist 04. Chemistry and Physics

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Newton's Universal Law of Gravitation (8.1-8.3)

In this video, I write down Newton's universal law of gravitation, prove that it is conservative, and derive the potential energy associated with it.

From playlist Intermediate Classical Mechanics

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Teach Astronomy - N-Body Gravity

http://www.teachastronomy.com/ Astronomers are faced with an interesting problem when they calculate the force of gravity within a galaxy. Newton's law of gravity is precise only in the situation of two objects acting on each other, but in galaxies are many, many stars all acting with gra

From playlist 19. Galaxies 2

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Einstein's General Theory of Relativity | Lecture 2

In this lecture, Professor Leonard Susskind of the Stanford University Physic's Department discusses dark energy, the tendency of it to tear atoms apart, and Gauss's Law. Einstein's Theory (PHY 27) discusses the different applications of Einstein's Theory of Relativity in particle phy

From playlist Lecture Collection | Modern Physics: Einstein's Theory

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The Original Unified Theory: Inverse Square Laws

Inverse square laws show up everywhere from the brightness of electromagnetic waves (light) to the strength of gravitational and electric fields of force. Let's take a historical journey all the way from Kepler to Gauss to see why this is such an important concept. ________________________

From playlist Optics and Light

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Electricity and Magnetism #1 Free Response Question Solutions - AP Physics C 1998 Released Exam

This Free Response Question includes the following concepts: Electrostatic Forces, Gauss's Law, Electric Fields and work done on a charged particle when moving through an electric potential difference. AP® is a registered trademark of the College Board, which was not involved in the produ

From playlist 1998 AP Physics C Exam Solutions - Mechanics and Electricity & Magnetism

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Einstein's General Theory of Relativity | Lecture 1

Lecture 1 of Leonard Susskind's Modern Physics concentrating on General Relativity. Recorded September 22, 2008 at Stanford University. This Stanford Continuing Studies course is the fourth of a six-quarter sequence of classes exploring the essential theoretical foundations of modern ph

From playlist Lecture Collection | Modern Physics: Einstein's Theory

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The first 1000 people to use the link will get a free trial of Skillshare Premium Membership: ​https://skl.sh/parthg03211 The Poisson equation has many uses in physics... so we'll be understanding the basics of the mathematics behind it, and then applying it to the study of classical grav

From playlist Classical Physics by Parth G

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Holography from WDW Equation by Chandramouli Chowdhury

ICTS In-house 2022 Organizers: Chandramouli, Omkar, Priyadarshi, Tuneer Date and Time: 20th to 22nd April, 2022 Venue: Ramanujan Hall inhouse@icts.res.in An exclusive three-day event to exchange ideas and research topics amongst members of ICTS.

From playlist ICTS In-house 2022

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What is the gravitational field of a hollow Earth?

Question 3 from Tom Rocks Maths and I Love Mathematics - answering the questions sent in and voted for by YOU. This time we calculate how gravity would behave on a hollow planet using Gauss' Flux Theorem. Full playlist: https://www.youtube.com/watch?v=by8Mf6Lm5I8&list=PLMCRxGutHqfmb00xXx9

From playlist I Love Mathematics

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Episode 29: The Electric Field - The Mechanical Universe

Episode 29. The Electric Field: Faraday's vision of lines of constant force in space laid the foundation for the modern force field theory. “The Mechanical Universe,” is a critically-acclaimed series of 52 thirty-minute videos covering the basic topics of an introductory university physic

From playlist The Mechanical Universe

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From playlist Concepts and Commentary

Related pages

Curl (mathematics) | Helmholtz decomposition | Unit vector | Gradient | Gaussian surface | Origin (mathematics) | Surface integral | Carl Friedrich Gauss | Maxwell's equations | Conservative vector field | Hamilton's principle | Divergence theorem | Divergence | Gauss's law | Flux | Density | Gravitational constant | Del in cylindrical and spherical coordinates | Dirac delta function | Gauss's law for magnetism | Shell theorem | Integral | Infinitesimal | Lagrangian (field theory) | Scalar potential | Poisson's equation | Vector calculus | Volume integral