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Using Boundless Presentations The Appendix The appendix is for you to use to add depth and breadth to your lectures. You can simply drag and drop slides from the appendix into the main presentation to make for a richer lecture experience. Free to edit, share, and copy Feel free to edit, share, and make as many copies of the Boundless presentations as you like. We encourage you to take these presentations and make them your own. Free to share, print, make copies and changes. Get yours at Boundless Teaching Platform Boundless empowers educators to engage their students with affordable, customizable textbooks and intuitive teaching tools. The free Boundless Teaching Platform gives educators the ability to customize textbooks in more than 20 subjects that align to hundreds of popular titles. Get started by using high quality Boundless books, or make switching to our platform easier by building from Boundless content pre-organized to match the assigned textbook. This platform gives educators the tools they need to assign readings and assessments, monitor student activity, and lead their classes with pre-made teaching resources. Get started now at: If you have any questions or problems please

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The Law of Universal Gravitation Gravitational Attraction of Spherical Bodies: A Uniform Sphere Weight of the Earth Newton's Law of Universal Gravitation Uniform Circular Motion and Gravitation > Newton's Law of Universal Gravitation Free to share, print, make copies and changes. Get yours at m=direct&utm_source=boundless

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Key terms center of mass The center of mass (COM) is the unique point at the center of a distribution of mass in space that has the property that the weighted position vectors relative to this point sum to zero. gravitational force A very long-range, but relatively weak fundamental force of attraction that acts between all particles that have mass; believed to be mediated by gravitons. induction Use inductive reasoning to generalize and interpret results from applying Newton's Law of Gravitation. inverse Opposite in effect or nature or order. point mass A theoretical point with mass assigned to it. weight The force on an object due to the gravitational attraction between it and the Earth (or whatever astronomical object it is primarily influenced by). Free to share, print, make copies and changes. Get yours at Uniform Circular Motion and Gravitation

Diagram used in the proof of the Shell Theorem This diagram outlines the geometry considered when proving The Shell Theorem. In particular, in this case a spherical shell of mass M (left side of figure) exerts a force on mass m (right side of the figure) outside of it. The surface area of a thin slice of the sphere is shown in color. (Note: The proof of the theorem is not presented here. Interested readers can explore further using the sources listed at the bottom of this article.) Free to share, print, make copies and changes. Get yours at Wikimedia Commons. "Shell-diag-1." CC BY-SA View on Boundless.comCC BY-SA 2.5https://commons.wikimedia.org/wiki/File:Shell-diag-1.pngView on Boundless.com Uniform Circular Motion and Gravitation

Gravitational Field of Earth Diagram of the gravitational field strength within the Earth. Free to share, print, make copies and changes. Get yours at Wikimedia. CC BY-SA View on Boundless.comCC BY-SAhttp://upload.wikimedia.org/wikipedia/commons/4/43/Earth-G-force.pngView on Boundless.com Uniform Circular Motion and Gravitation

Newton's Law of Universal Gravitation A brief introduction to Newton's Law of Universal Gravitation for high school students. Free to share, print, make copies and changes. Get yours at View on Boundless.com Uniform Circular Motion and Gravitation

Forces on two masses All masses are attracted to each other. The force is proportional to the masses and inversely proportional to the square of the distance. Free to share, print, make copies and changes. Get yours at Wikipedia. "Universal gravitation." GNU FDL View on Boundless.comGNU FDLhttp://en.wikipedia.org/wiki/Universal_gravitationView on Boundless.com Uniform Circular Motion and Gravitation

Free to share, print, make copies and changes. Get yours at Uniform Circular Motion and Gravitation The Shell Theorem states that a spherically symmetric object affects other objects as if A) all of its mass were uniformly spread through the volume B) all of its mass were concentrated at its center C) it had zero mass D) it had infinite mass

Free to share, print, make copies and changes. Get yours at Boundless - LO. "Boundless." CC BY-SA BY-SA 3.0http:// Uniform Circular Motion and Gravitation The Shell Theorem states that a spherically symmetric object affects other objects as if A) all of its mass were uniformly spread through the volume B) all of its mass were concentrated at its center C) it had zero mass D) it had infinite mass

Free to share, print, make copies and changes. Get yours at Uniform Circular Motion and Gravitation When the bodies have spatial extent, gravitational force is calculated by A) assuming that all the mass is concentrated in the center B) summing the contributions of three largest point masses C) summing the contributions of point masses which constitute them D) assuming that the object has a zero volume

Free to share, print, make copies and changes. Get yours at Boundless - LO. "Boundless." CC BY-SA BY-SA 3.0http:// Uniform Circular Motion and Gravitation When the bodies have spatial extent, gravitational force is calculated by A) assuming that all the mass is concentrated in the center B) summing the contributions of three largest point masses C) summing the contributions of point masses which constitute them D) assuming that the object has a zero volume

Attribution Wikipedia. "Newton's law of universal gravitation." CC BY-SA BY-SA Wikipedia. "Shell theorem." CC BY-SA BY-SA 3.0http://en.wikipedia.org/wiki/Shell_theorem Wikipedia. "Center of mass." CC BY-SA BY-SA 3.0http://en.wikipedia.org/wiki/Center_of_mass Light and Matter. CC BY BYhttp://lightandmatter.com/mef.pdf Wikipedia. "center of mass." CC BY-SA BY-SA 3.0http://en.wikipedia.org/wiki/center%20of%20mass OpenStax CNX. "OpenStax College, College Physics. September 17, 2013." CC BY BY Wikipedia. "Law of universal gravitation." CC BY-SA BY-SA 3.0http://en.wikipedia.org/wiki/Law_of_universal_gravitation Wikipedia. "Gravitational constant." CC BY-SA BY-SA 3.0http://en.wikipedia.org/wiki/Gravitational_constant Wikipedia. "Law of universal gravitation." CC BY-SA BY-SA 3.0http://en.wikipedia.org/wiki/Law_of_universal_gravitation Wiktionary. "point mass." CC BY-SA BY-SA 3.0http://en.wiktionary.org/wiki/point+mass Wiktionary. "gravitational force." CC BY-SA BY-SA 3.0http://en.wiktionary.org/wiki/gravitational+force Wiktionary. "weight." CC BY-SA BY-SA 3.0http://en.wiktionary.org/wiki/weight Wiktionary. "inverse." CC BY-SA BY-SA 3.0http://en.wiktionary.org/wiki/inverse Wiktionary. "induction." CC BY-SA BY-SA 3.0http://en.wiktionary.org/wiki/induction MONTEREY BAY INSTITUTE. CC BY BY MONTEREY BAY INSTITUTE. CC BY BY WIKIPEDIA. "Isaac Newton." CC BY-SA BY-SA 3.0http://en.wikipedia.org/wiki/Isaac_Newton#Apple_incident Free to share, print, make copies and changes. Get yours at Uniform Circular Motion and Gravitation

WIKIPEDIA. "Newton's law of universal gravitation." CC BY-SA BY-SA Free to share, print, make copies and changes. Get yours at Uniform Circular Motion and Gravitation