Lorentz transformation problem
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A red light flashes at position xR = 3.00 m and time tR = 3.00 x 10-8 s and a blue light flashes at xB = 9.0 m and time tB = 4.80 x 10-8 s. (All values are measured in the S reference frame.) Reference frame S' moves constantly to the right. Both flashes are observed to occur at the same time in S'.
a. Find the relative velocity between S and S'.
b. Find the time of the two flashes in frame S'.
c. Find the locations of the two flashes in the S' frame.
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An event that happens at time t and position x in S happens at time t' and position x' in S' where:
x' = gamma [x-vt] (1)
t' = gamma [t-vx/c^2] (2)
where
gamma = 1/sqrt[1-v^2/c^2]
Here it is assumed that at time t = 0, ...
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