Special Realitvity Hw7

Special Realitvity Hw7 - MasteringPhysics: Assignment Print...

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

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Special Realitvity Hw7 - MasteringPhysics: Assignment Print...

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