1276_Physics ProblemsTechnical Physics

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

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Chapter 45 617 (c) v B == × × ρ 150 10 18 7 10 283 10 9 3 3 Nm kg m ms 2 3 . . (d) Vr m 4 3 3 π r m t r v d = F H G I K J = × F H G G I K J J × × 3 4 355 41 8 71 0 413 10 146 10 13 3 2 2 5 πρ . . . . . kg kg m m m 2.83 10 m s s 3 3 bg ej (e) 14 6 . s µ is greater than 1 s , so the entire bomb can fission. The destructive energy released is 141 10 16 10 4 51 10 4 51 10 107 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 . 01 1 1 11 15 8 2 25 af requiring 583 10 10 5 83 9 ×= s s . . This time is not very short compared with 14 6 , so this bomb would likely release much less energy. ANSWERS TO EVEN PROBLEMS P45.2 184 MeV P45.18 (a) 253 10 31 . × J; (b) 1 14 10 9 . × yr P45.4 see the solution P45.20
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