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hw11_3221spring2011

# hw11_3221spring2011 - 1 Phy 3221 Due Homework set 11 Some...

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1 Phy 3221 Due: April 13, 2011 Homework set # 11 Some of these problems might help you prepare for the test on Wednesday. Problem 1: A muon is created at the top of a mountain in a cosmic ray collision. Assume that the muon lives, in its frame of reference, for precisely 2 × 10 - 6 s before it decays into an electron and two neutrinos. The mountain is L 0 = 800 m high, and the muon is traveling straight down with a speed v = 0 . 8 c so that p 1 - v 2 /c 2 = 0 . 6 = 3 / 5. a. How long, as measured in the muon’s frame of reference, does the muon live before it decays? b. What distance down the mountain, as measured in the muon’s frame of reference, does the muon travel before it decays? Perhaps this should be phrased: As measured in the muon’s frame of reference, how far past the muon does the top of the mountain travel before the decay? c. How long do we (standing at the bottom of the mountain) observe the muon to live before it decays? d. Does the muon live at least until it reaches the bottom of the mountain?

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hw11_3221spring2011 - 1 Phy 3221 Due Homework set 11 Some...

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