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Discussion Problems 6
Due in section week of March 2, 2009
Problem 1: Galilean Relativity. Realized this was in the book.
.. Don’t look at the
book!!
Newton’s laws are said to be invariant under socalled “Galilean relativity”, while
Maxwell’s are invariant under special relativity. Galilean relativity involve “coordinate trans
formations” that you are intuitively using in every day life, despite being unaware of it. What
does it mean to say Newton’s laws are invariant to a Galilean coordinates transformation? It’s
just the statement that you can use
~
F
=
m~a
in any inertial coordinate frame without mod
ifying the equation. Galileo put it best when he commented that his pendulum experiments
could have been done on a steady sailing ship and he would have gotten the same results,
hence the name Galilean. Let’s explore this further.
a. Jack, standing on a stationary ship,
S
, uses coordinates (
x, t
) to describe an event. Jane
in a passing ship,
S
0
, moving in the positive xdirection with speed
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This note was uploaded on 10/05/2009 for the course PHYSICS 7C taught by Professor Lin during the Spring '08 term at University of California, Berkeley.
 Spring '08
 LIN
 Quantum Physics

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