27_InstSolManual_PDF_Part6

27_InstSolManual_PDF_Part6 - 3 10 2 14 J. K K nr 5 1.01. K...

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27.25. Set Up: The nonrelativistic momentum is and the relativistic momentum is Solve: (a) and (b) The graphs of and are shown in Figure 27.25a and b. In both cases when . The nonrelativistic graph extends beyond Figure 27.25 Reflect: The graph of is a straight line with slope m . As is the same as at small but becomes larger than as increases. increases without limit as 27.26. Set Up: When the force and velocity are parallel, as in part (b), In part (a), and Solve: (a) (b) 27.27. Set Up: The relativistic kinetic energy is For an electron, The nonrelativistic expression for the kinetic energy is Solve: (a) and (b) and Reflect: The relativistic value of the kinetic energy, K , approaches the nonrelativistic value, for small speeds. For large speeds, and the ratio increases as the speed increases. K / K nr K . K nr K nr , K K nr 5 2.66. K 5 1 2.00 2 1.00 21 8.20 3 10 2 14 J 2 5 8.20 3 10 2 14 J. 1 " 1 2 v 2 / c 2 5 1 " 1 2 1 2.60 3 10 8 / 3.00 3 10 8 2 2 5 2.00 K nr 5 1 2 1 9.11 3 10 2 31 kg 21 2.60 3 10 8 m / s 2 2 5 3.08
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Unformatted text preview: 3 10 2 14 J. K K nr 5 1.01. K 5 1 1.014 2 1.00 21 8.20 3 10 2 14 J 2 5 1.15 3 10 2 15 J. 1 " 1 2 v 2 / c 2 5 1 " 1 2 1 5.00 3 10 7 / 3.00 3 10 8 2 2 5 1.014 K nr 5 1 2 1 9.11 3 10 2 31 kg 21 5.00 3 10 7 m / s 2 2 5 1.14 3 10 2 15 J. K nr 5 1 2 m v 2 . mc 2 5 1 9.11 3 10 2 31 kg 21 3.00 3 10 8 m / s 2 2 5 8.20 3 10 2 14 J. K 5 1 1 " 1 2 v 2 / c 2 2 1 2 mc 2 . a 5 F m g 3 5 5.49 3 10 15 m / s 2 1 1.81 2 3 5 9.26 3 10 14 m / s 2 . g 5 1 1 1 2 v 2 / c 2 2 1 / 2 5 1 1 1 2 3 2.50 3 10 8 / 3.00 3 10 8 4 2 2 1 / 2 5 1.81. a 5 F m 5 5.00 3 10 2 15 N 9.11 3 10 2 31 kg 5 5.49 3 10 15 m / s 2 F 5 ma . v V c F 5 ma 1 1 2 v 2 / c 2 2 3 / 2 . v S c . p r v p nr v p nr p r p nr S mc . v S c , p nr ( a ) c mc p nr v ( b ) p r v c v 5 c . v 5 p 5 p r p nr p r 5 m v " 1 2 v 2 / c 2 p nr 5 m v 27-6 Chapter 27...
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