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1276_Physics ProblemsTechnical Physics

1276_Physics ProblemsTechnical Physics - 617 Chapter 45(c(d...

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Chapter 45 617 (c) v B = = × × = × ρ 150 10 18 7 10 2 83 10 9 3 3 N m kg m m s 2 3 . . (d) V r m = = 4 3 3 π ρ r m t r v d = F H G I K J = × F H G G I K J J = × = = × × = × 3 4 3 5 5 4 18 7 10 4 13 10 4 13 10 1 46 10 1 3 3 1 3 2 2 5 πρ π . . . . . kg kg m m m 2.83 10 m s s 3 3 b g e j (e) 14 6 . s µ is greater than 1 s µ , so the entire bomb can fission. The destructive energy released is 1 41 10 1 6 10 4 51 10 4 51 10 1 07 10 107 25 19 14 14 5 . . . . . × × F H G I K J × F H G I K J = × = × × F H G I K J = × = nuclei 200 10 eV fissioning nucleus J 1 eV J J 1 ton TNT 4.2 10 J ton TNT kilotons of TNT 6 9 What if? If the bomb did not have an “initiator” to inject 10 20 neutrons at the moment when the critical mass is assembled, the number of generations would be n = × + = ln . . ln . 1 41 10 0 1 1 1 1 1 1 582 25 a f e j requiring 583 10 10 5 83 9 × = s s e j . µ . This time is not very short compared with 14 6 . s µ , so this bomb would likely release much less energy. ANSWERS TO EVEN PROBLEMS P45.2 184 MeV P45.18 (a) 2 53 10 31 . × J ; (b) 1 14 10 9 . × yr P45.4
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