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• ## Discussion

 0 answersPost by Jamal Tischler on December 7, 2015I made this graph for the gravitational acceleration(using Desmos calculator) as a function of the altitude: g(h)=g0*R^2/(R+h)^2, where g0=9.81 m/s^2 and R=6370 km , the radius of the earth.Link: https://www.desmos.com/calculator/61g6qoekxe

### Universal Gravitation

Lecture Slides are screen-captured images of important points in the lecture. Students can download and print out these lecture slide images to do practice problems as well as take notes while watching the lecture.

• Intro 0:00
• Newton's Law of Gravity 0:09
• Two Particles of Mass m1,m2
• Force of Attraction
• Sphere and Small Particle of Mass m
• Two Spheres
• Variation of g With Altitude 7:24
• Consider Earth as an Object
• Force Applied To Object
• At or Near Surface of Earth
• Satellites 15:39
• Earth and Satellite
• Geosynchronous Satellite
• Gravitational Potential Energy 27:32
• Object and Earth Potential Energy=mgh
• P.E=0 When Objects are Infinitely Separated
• Total Energy
• If Object is Very Far From Earth, R=Infinity
• Escape 42:33
• Shoot an Object Which Should Not Come Back Down
• Conservation of Energy
• Object at Maximum Height (K.E=0)
• Escape Velocity (Rmax = Infinity)
• Extra Example 1: Density of Earth and Moon
• Extra Example 2: Satellite Orbiting Earth