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PROBLEM 37 &amp; 38 May 12 2010

# PROBLEM 37 &amp; 38 May 12 2010 - a flight path of 1 m...

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Solving Problems 37 and 38 Physics 002C May 12, 2010 Problem 37. What is the proper length of a meter stick traveling at half the speed of light? a) 1 m; b) 2 m; c) 0.5 m; d) 1.414 m; e) 0.707 m. What do you know? The proper length is the proper length = 1m. Problem 38. What is the proper lifetime of an exotic nucleus that decays on average after
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Unformatted text preview: a flight path of 1 m when traveling at 0.999c? a) 750 ns; b) 7.5 ns; c) 0.002 ns; d) 0.75 ns ; e) 0.075 ns. What do you know? The time dilation factor is 2 2 2 999 . 1 / 1 / 1 1 c v = 44.72. The time in the observer’s frame is 3 m/3 10 8 m/s = 3.33 ns. The proper time is 3.33 ns/44.72 = 0.0745 ns....
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