Special Realitvity Hw7

# Special Realitvity Hw7 - MasteringPhysics: Assignment Print...

This preview shows pages 1–3. Sign up to view the full content.

[ Print View ] Physics 228 Spring 2008 Special Relativity (Ch. 37) Due at 11:59pm on Monday, March 10, 2008 View Grading Details Understanding Lorentz Transformations Learning Goal: To be able to perform Lorentz transformations between inertial reference frames. Suppose that an inertial reference frame S' moves in the positive x direction at speed with respect to another inertial reference frame S . In classical physics, the Galilean transformations relate the coordinates measured for an event in frame S to the coordinates measured for the same event in frame S' . Assuming that both frames have the same origin (i.e., at , ), the Galilean transformations take the following simple form: , . The Galilean transformations are not valid at very large speeds. To transform between inertial frames when is close to the speed of light , we need to use the Lorentz transformations of special relativity. Again, assuming that both frames have the same origin, the Lorentz transformations take the following form: . These equations become more manageable with the introduction of the quantity , so that the Lorentz transformations become , . Page 1 of 7 MasteringPhysics: Assignment Print View 5/8/2008 http://session.masteringphysics.com/myct/assignmentPrint?assignmentID=1116518

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

View Full Document
Often, the space-time coordinates for an event will be given in the form , or just when the y and z coordinates are not important. Suppose that you are stationary with respect to an inertial reference frame Z . A spaceship flies by you in the positive x direction with speed . Let Z' be the frame of reference associated with the spaceship; that is, the ship is stationary with respect to Z' . The frames Z and Z' have the same origin at . The proper length of the ship (the length of the ship as measured in the ship's frame, Z' ) is . In other words, a passenger on the ship measures the back of the ship to be at and the front to be at . Part A Consider an event with space-time coordinates in an inertial frame of reference S . Let S' be a second inertial frame of reference moving, in the positive x direction, with speed relative to frame S . Find the value of that will be needed to transform coordinates between frames S and S' . Use for the speed of light in vacuum. Express your answer to three significant figures.
This is the end of the preview. Sign up to access the rest of the document.

## This note was uploaded on 11/25/2010 for the course PHYSICS 228 taught by Professor Staff during the Spring '08 term at Rutgers.

### Page1 / 7

Special Realitvity Hw7 - MasteringPhysics: Assignment Print...

This preview shows document pages 1 - 3. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online