System S\' has a velocity u = +0.71 c relative to system S, as shown. The clocks
ID: 1781770 • Letter: S
Question
System S' has a velocity u = +0.71 c relative to system S, as shown. The clocks of S and S' are synchronized at t = t' = 0 s when the origins 0 and 0' coincide. An event is observed in both systems. The event takes place at x = 600 m and at time t = 5.1 s, as measured by an observer in S. In the figure, the time t' of the event, measured by an observer in S' is closest to: (please do not skip any steps)
Multiple Choice Question 27.7 Part A System S' has a velocity u = +0.71 c relative to system S, as shown. The clocks of S and S' are synchronized at t = t' = 0 s when the origins 0 and 0' coincide. An event is observed in both systems. The event takes place at x = 600 m and at time t = 5.1 s, as measured by an observer in S. In the figure, the time t of the event, measured by an observer in S' is closest to: 5.2 2.6 0-5.0ps 4.5 3.9 Submit My Answers Give UpExplanation / Answer
Correct Ans is:
5.2 x 10^6 s = 5.2 us
explanation:
gamma = 1/sqrt (1 - v^2/c^2)
gamma = 1/sqrt (1 - 0.71^2c^2/c^2) = 1.42
t' = gamma (t - vx/c^2)
t' = 1.42 (5.1 x 10^-6 - 0.71 x 3 x 10^8 x 600/3 x 10^8)^2 = 5.2 x 10^-6 s
Hence, t' = 5.2 x 10^-6 s = 5.2 us
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