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Lorentz Transformation

The Lorentz Transformation explains how the speed of light is observed to be independent of the reference frame and to understand the symmetries of the laws in electromagnetism. It is in accordance with special relativity, but is derived before special relativity was postulated.
The transformation describes how measurements of space and time by two observers are related. They reflect the fact that observers moving at different velocities may measure different distances, elapsed time and even different orderings of events. This supersedes the Galilean transformation of Newtonian physics because the Galilean transformation is only a good approximation for relativity smaller speeds than the speed of light.

The Lorentz transformation for frames in standard configurations can be shown in the following simple forms:

t^'=γ(t- vx/c^2 )
x^'= γ(x-vt)
y^'=y
z^'=z

Where v is the relative velocity between frames in the x-directions, c is the speed of light and γ is the Lorentz factor.

Energy, momentum and force in special relativity

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Identify and implement the role of fluency in reading and comprehension.

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At speed, how long is the garage measured in the car's frame of reference?

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Lorentz Transformation and Tilting of Objects

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Lorentz transformation problem.

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Lorentz Transfers

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Relativistic Time and Length Dilation

Two space ships each 100m long when measured at rest travel toward each other at a speed of .85c relative to earth. a) How long is each ship as measured by someone on earth? b) How fast is each ship traveling as measured by someone on the other ship? c) How long is one ship when measured by an observer on the other?

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An event occurs in inertial frame S with coordinates: x=75m, y=18m, z=4m, t=2.0xE-5sec. The inertial frame S' moves in the +x direction at v= .85c. The origins of S and S' coincide at t=t'=0. a) What are the coordinates of the event in S' (x', y', z', t')? b) Use the inverse transform on the results of a to obtain the or

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The Lorentz Transformation

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