Question

An event has spacetime coordinates (x, t) = (1200 m, 3.0 μs) in reference frame S. What is the event's spacetime coordinate x' in reference frame S' that moves in the positive x-direction at 0.80 c? What is the event's spacetime coordinate t' in reference frame S'? What is the event's spacetime coordinate x'' in reference frame S'' that moves in the negative x-direction at 0.80 c? What is the event's spacetime coordinate t'' in reference frame S''?

Name: an event has spacetime coordinates x t 1200 m 30 s in reference frame s what is the events spacetime coordinate x in reference frame s that moves in the positive x direction at 080 c what is 92257
Uploaded: 2022-06-21T11:45:57-08:00
Duration: 4 min 20 s
Channel: Suman K
Description: an event has spacetime coordinates x t 1200 m 30 s in reference frame s what is the events spacetime coordinate x in reference frame s that moves in the positive x direction at 080 c what is 92257

          An event has spacetime coordinates (x, t) = (1200 m, 3.0 μs) in reference frame S.
What is the event's spacetime coordinate x' in reference frame S' that moves in the positive x-direction at 0.80 c?
What is the event's spacetime coordinate t' in reference frame S'?
What is the event's spacetime coordinate x'' in reference frame S'' that moves in the negative x-direction at 0.80 c?
What is the event's spacetime coordinate t'' in reference frame S''?

Added by Susan G.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Suman K

06/21/2022

Step 1

0 μs V = 0.80c Using the Lorentz transformation formula: \[ x' = \frac{x - Vt}{\sqrt{1 - \frac{V^2}{c^2}}} \] Substitute the values: \[ x' = \frac{1200 - 0.8 \times 3 \times 10^{-6} \times 3 \times 10^8}{\sqrt{1 - 0.8^2}} \] Calculating the above expression will Show more…

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An event has spacetime coordinates (x, t) = (1200 m, 3.0 μs) in reference frame S. What is the event's spacetime coordinate x' in reference frame S' that moves in the positive x-direction at 0.80 c? What is the event's spacetime coordinate t' in reference frame S'? What is the event's spacetime coordinate x'' in reference frame S'' that moves in the negative x-direction at 0.80 c? What is the event's spacetime coordinate t'' in reference frame S''?