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Unformatted text preview: MASSACHUSETTS INSTITUTE OF TECHNOLOGY Department of Physics Physics 8.01 Spring 2005 QUIZ 8 FORMULA SHEET Quiz Date: Friday, April 1, 2005 For motion in one dimension: v av x t Average velocity; v d x d t Instantaneous velocity; For motion in three dimensions: ~ v d ~ r d t ; ~ a d ~ v d t = d 2 ~ r d t 2 ; ~ r ( t 1 ) = ~ r + Z t 1 ~ v d t ; ~ v ( t 1 ) = ~ v + Z t 1 ~ a d t . For constant acceleration ~ a , if ~ r = ~ r and ~ v = ~ v at time t = 0, then ~ v ( t ) = ~ v + ~ a t ~ r ( t ) = ~ r + ~ v t + 1 2 ~ a t 2 . For one-dimensional motion with constant acceleration a : v 2 = v 2 + 2 a ( x x ) . For circular motion at constant speed v : a = v 2 r , where r is the radius of the circle, and the acceleration is directed towards the center of the circle. If an object has position ~ r and velocity ~ v , its position and velocity relative to an observer with position ~ r and velocity ~ v are given respectively by ~ r = ~ r ~ r , ~ v = ~ v ~ v . Average velocity and acceleration are given by ~ v average ~ r t , ~ a average ~ v t . Mass, Acceleration, and Force: ~ F = m ~ a (Newtons second law); ~ F = GMm r 2 r (the gravitational force between two particles); ~ F = 1 4 Qq r 2 r (the electrostatic force between two particles);...
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This note was uploaded on 04/28/2009 for the course CS 6.857 taught by Professor Rivest during the Spring '03 term at MIT.
- Spring '03