Suppose that you are stationary with respect to an inertial reference frame Z. A
ID: 1272840 • Letter: S
Question
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 v. 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 t = t' = 0. The proper length of the ship (the length of the ship as measured in the ship's frame, Z') is l0. In other words, a passenger on the ship measures the back of the ship to be at x'=0 and the front to be at x'=l0.
Find the ? factor that should be used to transform between frames Z and Z'.
Express your answer in terms of v and c.
Explanation / Answer
= (1-v^2/c^2)^-1/2
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