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ch44_p41 - 41(a We use the relativistic relationship...

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41. (a) We use the relativistic relationship between speed and momentum: p mv mv v c = = γ 1 2 b g , which we solve for the speed v : v c pc mc = F H G I K J + 1 1 1 2 2 . For an antiproton mc 2 = 938.3 MeV and pc = 1.19 GeV = 1190 MeV, so v c c = + = 1 1 1190 938 3 1 0 785 2 MeV MeV . . . b g (b) For the negative pion mc 2 = 193.6 MeV, and pc is the same. Therefore, v c c = + = 1 1 1190 1936 1 0 993 2 MeV MeV . . . b g (c) Since the speed of the antiprotons is about 0.78 c but not over 0.79 c , an antiproton will
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