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Lecture 3

# Lecture 3 - Galilean velocity transformation u x-3-2-1 0 1...

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1 Galilean velocity transformation If an object has velocity u in frame S (note: velocities have a direction!) , and if frame S’ is moving with velocity v along the positive x-axes of frame S, then the position of the object in S’ is: v t t x t x ) ( ) ( ' ... -3 -2 -1 0 1 2 3 ... ... -3 -2 -1 0 1 2 3 ... v u x x’ The velocity u of the object in frame S’ is therefore: A) u + v B) v - u C) u - v D) u E) -v Announcements Reading for Monday (due noon) : TZD 1.7- 1.9 Homework #1 is due at noon, Wednesday this week (in ‘2130’ box in G2B90). Today Maxwell vs. Galileo Strange things about the speed of light Mr. Maxwell told us, the speed of light ‘ c ’ is: s m c / 10 00 . 3 1 8 0 0 Mr. Galileo told us that c’ = c – v If the laws of physics are the same in all inertial frames then ε 0 and μ 0 (and c ) have to be the same in all inertial frames. So let’s make up the “luminiferous ether” to fix Galileo’s velocity transformation law (u’ = u - v)! (We will have to check if there is a luminiferous ether!..) Last class we found a problem!! Peculiar light-waves A sound wave propagates through air, with a velocity relative to the air (~330 m / sec) A water wave propagates through water, with a velocity relative to the water (1..100 m / sec) • “The wave” propagates through a crowd in a stadium, with a velocity relative to the audience. An electromagnetic wave propagates through... Answer (19 th century physics): The “luminiferous ether.” Ideas behind Einstein’s relativity Is there an ether ?

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