This preview shows pages 1–2. Sign up to view the full content.
This preview has intentionally blurred sections. Sign up to view the full version.
View Full Document
Unformatted text preview: Massachusetts Institute of Technology Department of Physics 8.022 Spring 2004 Assignment 6: Special relativity; Magnetic fields Post date: Thursday, March 18th Due date: Thursday, April 1st Be sure to write your name and section number on your pset Please staple multiple pages together 1. Invariant interval (8 pts): A quantity that is left unchanged by Lorentz transformations is a called a “Lorentz invariant”. Consider two events described in the laboratory frame by ( t 1 , x 1 , y 1 , z 1 ) and ( t 2 , x 2 , y 2 , z 2 ). Show that Δ s 2 ≡  ( c Δ t ) 2 + (Δ x ) 2 + (Δ y ) 2 + (Δ z ) 2 is a Lorentz invariant. 2. Galilean tranformations (10 pts): Prior to special relativity, people related coordinates between different frames with the “Galilean transformation” — clocks in different ref erence frame tick at the same rate, spatial positions are shifted by a term that depends on the relative velocity just as you would expect. For example, for frames that are moving with respect to each other in the x direction, we would have t = t x = x vt ....
View
Full
Document
This homework help was uploaded on 04/11/2008 for the course PHYSICS 8.022 taught by Professor Hughes during the Spring '08 term at MIT.
 Spring '08
 Hughes
 Mass, Special Relativity

Click to edit the document details