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Unformatted text preview: 31 Chapter 2 ! Relativity II 21. 22. 23. (a) (b) (c) (d) Chapter 2 ! Relativity II 32 24. The quantity required is the kinetic energy. (a) (b) (c) 25. Because work is done on the system, the mass increases by this amount. 26. (Equation 25) (a) Thus, (b) Thus, (c) Thus, 27. (a) (b) (Equation 29) Chapter 2 ! Relativity II 33 (Problem 27 continued) (c) (d) Classically, % error = 28. (Equation 29) Or (a) (b) (c) 29. (Equation 210) (a) Because E >> mc 2 , (Equation 240) (b) (Equation 236) (c) Assuming one Au nucleus (system S ) ) to be moving in the + x direction of the lab (system S ), then u for the second Au nucleus is in the ! x direction. The second Aus energy measured in the S ) system is : Chapter 2 ! Relativity II 34 (Problem 29 continued) 210. (a) (b) so, . (c) , so 1 g of dirt will light the bulb for: 211. (Equation 210) where (Equation 29) (Equation 232) Chapter 2 ! Relativity II 35 212. (Equation 210) (a) (b) (Equation 232) 213. (a) (b) (From Equation 232) 214. (a) (b) Chapter 2 ! Relativity II 36 (Problem 214 continued) 215. (a) (b) It would make no difference if the inner surface were a perfect reflector. The light energy would remains in the enclosure, but light has no rest mass, so the balance reading would still go down by 21 : g. 216. 217. Energy to remove the n 218. (a) (b) Chapter 2 ! Relativity II 37 219. (a) (b) (c) 220. 221. Conservation of energy requires that or and conservation of momentum requires that so Thus, is the minimum or threshold energy E t that a beam proton must have to produce a B . 222. Chapter 2 ! Relativity II 38 223. Conservation of momentum requires the pions to be emitted in opposite directions with equal momenta, hence equal kinetic energy. 5 rest energy = 497.7 MeV . B + and B !!...
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 Spring '08
 LIN
 Energy, Kinetic Energy, Mass, Work

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