Unit 8 - Physics 225 Relativity and Math Applications...

Info iconThis preview shows pages 1–4. Sign up to view the full content.

View Full Document Right Arrow Icon
Physics 225 Relativity and Math Applications Spring 2010 Unit 8 Review of Special Relativity N.C.R. Makins S.A. Lamb University of Illinois at Urbana-Champaign © 2010
Background image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Physics 225 8.2 Unit 8: SR in a nutshell The midterm is next week on Tuesday, and it will mark the end of our study of special relativity. What a perfect opportunity for a review! First, here are all the key formulas neatly summarized on one page. No explanations are given: understanding the formulas is your part. p = E / c for a light ray (photon) I = ( c ! t ) 2 " ( ! x ) 2 " ( ! y ) 2 " ( ! z ) 2 ! F = d ! p dt ! p = m ! v W = ! F i d ! l = ! E " E = mc 2 = ( pc ) 2 + ( m 0 c 2 ) 2 KE = E ! m 0 c 2 m = ! m 0 ! p = m 0 ! v E = m 0 c 2 = pc E = E m 0 c 2 where = v / c and = 1/ 1 " ( v / c ) 2 as always. ! μ " # $ % $& 0 0 % 0 0 0 0 1 0 0 0 0 1 ( ) ) ) ) * + , , , , x ! ( ct , x , y , z ) d = dt u u = 1 1 " ( u / c ) 2 " dx d # = u c , u x , u y , u z ( ) p ! m 0 = E c , p x , p y , p z # $ % ( f ' f = 1 ! 1 + E = hf u x ' = u x ! v 1 ! u x v / c 2 u y ' = u y / 1 " u x v / c 2 u z ' = u z / 1 " u x v / c 2 t = γ ( t β x / c ) x = ( x t c ) y = y z = z t = ( t + x / c ) x = ( x + t c ) y = y z = z ! u = d ! r dt = dx dt , dy dt , dz dt ! " # $ % &
Background image of page 2
8.3 Exercise 8.1: Astronaut and radio signals An astronaut takes off in a rocket at t = 0, traveling at v = β c relative to the Earth. She sends a greeting back to her family on Earth by radio at intervals of time T, starting at time T after the launch, according to the clock on her rocket. a) What are the times that her family receives the radio messages back on Earth, using clocks stationary on the Earth? (Give your answers in terms of T, β , and c, as needed.) b) The astronaut would like her family to receive the messages at a radio frequency of f 0 . At what frequency should she transmit her messages?
Background image of page 3

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Image of page 4
This is the end of the preview. Sign up to access the rest of the document.

Page1 / 11

Unit 8 - Physics 225 Relativity and Math Applications...

This preview shows document pages 1 - 4. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online