Multiple Choice Question 27.9 Part A System S\' has a velocity u = +0.51 c relat

Question

Multiple Choice Question 27.9 Part A System S' has a velocity u = +0.51 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 = 200 m and at time t = 9.9 s, as measured by an observer in S. In the figure, a stopwatch which is stationary in S' records a proper time interval of 94 s. The time interval, measured by an observer in S is closest to: 110s O 150 s 0 81 s O 120 s O 140 s Submit My Answers Give Up

Explanation / Answer

110 s

explanation:

gamma = 1/sqrt (1 - v^2/c^2)

gamma = 1/sqrt (1 - 0.51^2c^2/c^2) = 1.163

t' = gamma (t - vx/c^2)

t' = 1.163 (94 - 0.51 x 3 x 10^8 x 200/3 x 10^8)^2 = 110 s

Hence, t' = 110

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