Two observers agree to test time dilation. They use identical clocks, and one observer in frame S’ moves with speed v = 0.6c relative to the other observer in frame S. When their origins coincide, they start their clocks. They agree to send each other a signal when their clocks read 60 min and to send a confirmation signal when each receives the other’s signal. (a) When does the observer in S receive the first signal from the observer in S’? (b) When does he(the observer in S)receive the confirmation signal? Answer them using the time in reference frame S.

College Physics
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ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
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Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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Two observers agree to test time dilation. They use identical clocks, and one observer in frame S’ moves with speed v = 0.6c relative to the other observer in frame S. When their origins coincide, they start their clocks. They agree to send each other a signal when their clocks read 60 min and to send a confirmation signal when each receives the other’s signal. (a) When does the observer in S receive the first signal from the observer in S’? (b) When does he(the observer in S)receive the confirmation signal? Answer them using the time in reference frame S.

Expert Solution
Step 1 Lorentz formula

Observer in each frame remains always at x=0 for all values of t. In frameS', x'=0 at all values of t'.

Lorentz transformation formula used are as-

x=rx'+vt'...........1

and t=rt'+vx'c2............2

In this case, r=11-v2c2

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