Study Guide -- Gravity (Mr. Rogers AP Physics C )

Unit Plan Practice Test Study Guide

Mathematical Models

Universal Gravity Force F = (G∙M∙m) / r2 Simple x = (xmax) cos (ωt)
Gravity Field g = (G∙M) / r2 Harmonic v = -ω (xmax) sin (ωt)
    Motion a = -ω2 (xmax) cos (ωt)
Gravitational Potential Energy Ur = - m [G(M) / r]    
    Air Resistance F = Bv
Centripetal Accel. a = m v2 / r Terminal Velocity vterminal = mg / B
Circular Orbit Velocity v = [(GM) / r]^0.5 V vs. time v = (mg / B) ( 1 - e - (b/m) t )
Escape Velocity v = [(2GM) / r]^0.5    

Key Principles

Standard for gravitational potential energy: When deriving or calculating the gravitational potential energy around a planet, infinity is assumed to be zero potential energy. Hence, any distance less than infinity will have a negative potential energy.

 

Problem Solving Tips: Rotation

 
 

Example Problems

Derivation of the time to fall through a tunnel through the center of the Earth Derivation of escape velocity
Derivation of gravitational potential energy equation Find g on a different planet: the planet Zorg has twice as much mass and is half as big in diameter as Earth. Find g on Zorg.
Derivation of circular orbit velocity  

 

Vocabulary

force field escape velocity terminal velocity
air resistance    
Mr

SAM Team--Southside High School's STEM and Computer Science extra-curricular club (Mr. Rogers Sponsor)

Mr. Rogers' Twitter Site

Mr. Rogers Teacher's Blog

Mr. Rogers T-shirts

Mr. Rogers Information for Teachers

Mr. Rogers Science Fair Information

Check out other web sites created by Mr. R:

Check out Articles by Mr. Rogers:

 
Insultingly Stupid Movie Physics is one of the most humorous, entertaining, and readable physics books available, yet is filled with all kinds of useful content and clear explanations for high school, 1st semester college physics students, and film buffs.

It explains all 3 of Newton's laws, the 1st and 2nd laws of thermodynamics, momentum, energy, gravity, circular motion and a host of other topics all through the lens of Hollywood movies using Star Trek and numerous other films.

If you want to learn how to think physics and have a lot of fun in the process, this is the book for you!

 

First the web site,

now the book!


Mr. Rogers Home | Common Sylabus | AP Comp Sci I | AP Comp Sci II | AP Physics Mech | AP Physics E&M | AP Statistics | Honors Physics|IB Design Tech | Southside

[ Intuitor Home | Physics | Movie Physics | Chess | Forchess | Hex | Intuitor Store |

Copyright 1996-2011 T. K. Rogers, all rights reserved. Forchess is a registered trademark of T. K. Rogers.
No part of this website may be reproduced in any form, electronic or otherwise, without express written approval.