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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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