answers_odd_problems

answers_odd_problems - ANSWERS TO ODD-NUMBERED PROBLEMS...

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Unformatted text preview: ANSWERS TO ODD-NUMBERED PROBLEMS CHAPTER 1 1. 124 m2 3. IO 159 m 5. 0.75 m3/s 7. 2.0 magnums 9. (a), (d), and (e) are dimensionally correct. WI] [T]2 13. 25.9° south of west 15. 0.25 m 17. 0.487 nm 19. 353° 21.1.2 X 102 m 23. (a) 5.70 X 102 newtons (b) 336° south of west ll. 25. (a) F = 551 newtons, 0 = 36.1° north of west (1)) F = 551 newtons. 0 = 36.1° south of west __> _, 27. smallest magnitude: Fl + F3 = 10.0 newtons. due e_a>st; _) largest magnitude: F3 + F4 = 70.0 newtons. due west 29. (a) 1200 m (b) 26° south of east 31. (a) 5600 newtons (b) along the dashed line 33. (a) 142 newtons. 67° south ofeast (b) 142 newtons. 67° north of west 35. (a) 15.8 m/s (b) 6.37 m/s 37. (a) 46 paces (b) 88 paces 39. 222 m. 558" 41. Vectors K and E are equal (each has a magnitude of 100.0 m. and each is oriented at an angle 01'36.9° above the +x axis). 43. (a) 10.4 units (b) 12.0 units 45. 7.1 m. 9.9° north of east 47. 30.2 m. 102° 49. 0.90 km. 56° north of west 51. (a) 2.7 km (b) 6.0 X 101 degrees. north of east 53. 6.88 km. 269° 55. (a) 178 units (b) 164 units 57. 5.5 km 59. E has the largest x component. 1; has the largest y component. 61. (a) 147 km (b) 47.9 km 63. (a) 9.4 it (1)) 69° A-16 65. (a) 250° (b) 34.8 newtons 67. (a) 78 newtons (b) 34° 69. .r component: —288 units y component: +156 units CHAPTER 2 l. (a) 12.4 km (b) 8.8 km. due east 3.5 X 10“ yr 5. (a) +8.0 m/s (b) -8.0 m/s (c) +200 m/s 7. 109 m 9. 52 m 11. 7.2 X 103 m 13. 2.1 s 15. (a) 0 m/s2 (b) — 14 m/s2 17. (a) 3.0 X 102 days (b) +1.04 >< 10‘4m/s2 19. (a) 18 m/s (b) 6.0 m/s (c) 6.0 m/s ((1) 18 m/s 21. 4.5 m/s2 23. 8.0 m/s (Cycle A was initially traveling faster.) 25. 3.1 m/s2 directed southward 27.(a) 1.7 X 102cm/53 (b) 0.15 s 29. (a) 1.5 m/s2 (b) 1.5 m/s2 (c) 76 m 31. 0.74 m/s 33. (a) 2.2 m/s (b) 4.4 m/s (c) 0.021 m/s2 35. 52.8 m 37. 96.9 m/s 39. +257 m 41. 14 s 43. (a) ~9.80 m/s2 (b) 5.7 m 45. 6.12 s 47.1], = 0.018 m. dz = 0.071 m, (13 = 0.16 m 49. 1.7 s 51.(a) ~79 m/s (b) 3.2 m 53. 1.1 s 55. -5.06 m 57. 0.767 m/s 59. 10.6 m 61. 0.40 s 63. - 11 m/s 65. segmentA: 1.9 m/sz. segment B: 0111/53. segment C: 3.3 m/s2 67. (a) segments A and C: positive. segment 8: negative. segment D: Zero (b) segment A: +6.3 kin/h. segment 8: -3.8 km/h. segment C: +0.63 km/h. segment D: 0 km/h 69. —8.3 km/h2 71. (a) 6.6 s (b) 5.3 m/s 73. 44.1 m/s 75. — 1.0 m/s2 77.1.6 X1045 79. 2.8 s 81. (a) 2.67 X 104 m (b) 6.74 m/s. due north 83. 2.0 X 10' m 85. 11.1 s 87. (a) 13 m/s (b) 0.93 m/s1 CHAPTER 3 l. 2.8 m 3.11... = 11 m/s, v‘. = 13 m/s ..\' = 75.3 km. 3? = 143 km . 8.8 X 103m . (a) 2.47 m/s2 (b) 2.24 m/s2 11. (a) 1.35 km. 21° north of west (b) 0.540 km/h. 21° north of west 13. 14.6 s 15. 5.4 m/s 17. 1.7 s 19. 4.90 m 21. (a) 1.78 s (b) 20.8 m/s 23. (a) 239 m/s, 57.l° above the horizontal (b) 239 m/s. 57.1° above the horizontal 25. 1 130 m/s. 377° above the +.\' axis 27. 30.0 m 29. 0.844 m 31. 14.1 m/s 33. 5.2 m 35. 33.2 m 37. (a) 1380 m (b) 660° below the ground 39. 14.7 m/s 41. 56 m 43. 14.9 m 45. 5.79 m/s 47.0141" and 89.8600 49.0 = 850m.H = 31 m 51.6, = 28.1° and 03 = 67.7° VDQUI 53. (a) 2.0 X 103 s (b) 1.8 X 103 m 55. 4.5 m/s 57. (3) 4| m/s. due east (b) 4| m/s, due west 59. 6.3 m/s. 18° north of east 61. 2.3 m/s 63. 5.2 1n/s. 52° west of south 65. 3.05 01/5. 148" north of west 67. 8.6 m/s 69. (a) 6.0 X 101 m (b) 290 m 71.(a) 1.1 s (b) 1.3 s 73. 5.17 s 75. 42° 77. 21.9 m/s. 400° above the horizontal 79. 8.79 m/s, 81.5° CHAPTER 4 l. 93 N 3. (a) +6 N (b) —24 N (c) -9.0 N 5. 130 N 7. 3560 N 9. (a) 3.6 N (b) 0.40 N 11. 1.83 m/53. directed to the left 13. 10.3 m/sz. directed above the horizontal at 21 .9° 15. 1.39 X 10°N 17. 0.78 m. 21° soulh of east 19. 18.4 N. 68° north of east 21. (a) weight = 1.13 x 103 N. mass = 1 15 kg (b) weight = 0 N. mass = 115 kg 23. (a) 5.1 X 10‘6N (b) 5.1 X 10‘6N 25. (a) 10.5 m/s2 (b) 1.07 27. 0.223 m/s2 29. (a) 1.04 X 103 N (b) 1.04 x 103N (c) 2.45 m/s2 ((1) 1.74 X 10‘23111/s2 31. 1.76 x 102°kg 33. 4.7 kg 35. 178 37. x = +0.414 L 39. 39 N 41. (a) 0.97 (b) 0.82 43. (a) 1.6 X 104N (b) 4.3 X 10‘ N 45. 0.444 47. (a) 390 N (b) 7.7 m/s. direction is toward second base 49. 4.4 s 51. 1.65 m/sz. 346° above the x axis 53. 1.00 X 102 N. 53.1° south of east 55. 1 1.6 N 57. 59. 61. 63. 65. 67. 69. 71. 73. 75. 77. 79. 81. 83. 85. 87. 89. 91. 93. 95. 97. 99. 101. 103. 105. 107. 109. 111. 113. 115. 117. 119. (a) 1400 N (b) 2400 N 9.70 N 62 N 1.9 x 102 N 0.141 406 N 0.29 18.0 m/sz. 56.30 above the +.\‘ axis 1730 N. due west (21) 1.3 N (b) 6.5 N 6.6 m/s 160 N 2730 N (a) 4.25 m/s2 (b) 1080 N 0.265 m 820 N (a) ATA = 0 N. ATE = ATC = 0 N —4.7 N. (b) ATA = ON. ME = 0N. ATC = +4.7 N (a) 13.7 N (b) 1.37 m/s2 (3) 0.60 m/s2 (b) left string: 104 N. right string: 230 N 1.8 x 10"7 N 7.3 X 102 N (a) 447 N (b) 241 N 29 400 N 4290 N (a) 3.75 ln/s2 (b) 2.4 X 102 N (a) 3.56 m/s2 (b) 281 N 286 N 8.7 s 33 s 16.3 N 1.2 s 68° CHAPTER 5 l. 160 s 3. 1.6 m 5. 0.79 m/s2 7. 3600 9. 332 m 11. 10 600 rev/min 13. 606 N 15. 0.68 m/s 17. 0.31 1n 19. (a) 88 N (b) 181 N 21. 28° 23. (a) 3510 N (b) 14.9 m/s 25. (a) 19 m/s (b) 23 m/s 27. 39° ANSWERS TO ODD-NUMBERED PROBLEMS 29. 184 in 31. satellite A: 7690 m/s satellite B: 7500 m/s 33. 1.33 X 104m/s 35. 1/27 37. 12 m/s 39.2.45 X 104 N 41. 14.0 m/s 43. 17 m/s 45. Twelve o‘clock: 14 N Six o'clock: 18 N 47. 8.48 m/s 49.(a) 1.2 X 10°N (b) 1.7 X 104N 51. 6.9 m/s2 53. 33 m/s 55.(a) 1.70 X 103 N (b) 1.66 X 10-‘N 57.1..) 3.0 x 105 m/s2 (b) 3.1 X 104g 59. 3500 N 61. speed = 19 m/s: 23 N speed = 38111/5: 77 N CHAPTER 6 1. 1.20 X 10“ J 3.(a) 4.1 X IOSJ (b) —4.1 x 105 J S.42.8° 7. (a) More net work is done during the dive. (b) 6.8 X 107] 9.(a) 1.8 X 10‘] (b) —1.2 x1031 11.45 N 13. 3.2 X 103 J 15. 39 m/s 17. 2.5 X 107 J 19. (a) 3.1 X 103] (b) 2.2 X 1031 21.9 X 103 m/s 23. 18% 25.1.4 X 10”] 27. 5.4 X 1031 29. 444 J 3l.(a) —3.0 X 1041 (b) The resistive force is not a conservative force. 33. (a) 27 J (b) 36 J (c) 8.8 J (d) The change in gravitational potential energy is —271 = — W. where Wis the work done by the weight. 35. (a) — 10861 (b) The skater is 2.01 m below the starting point. 37. At 11 = 20.0111: KB = OJ. PE = 392 J. and E = 392J Ath = 10.0 in: KE = 196 J. PE = 196 J. and E = 392 I At 17 = 0m: KE = 392.1. PE = 0.1. and E = 392] A-18 ANSWERS T0 ODD-NUMBERED PROBLEMS 39. (a) 28.3 m/s (b) 28.3 m/s (c) 28.3 m/s 41. (a) 52.2 J (b) 48.8 111/5 43. 3.29 m/s 45. 6.33 m 47. 18 m 49. 0.33 m 51. 1.0 X 103} 53. +4.5] X 1041 55. —1.21X10"J 57. (a) —270 J (b) 140 N 59. 2450 N 61. 13.5 m 63. 3.6 X 10"J 65.(a) 3.3 X 10"W (b) 5.1 X 104 W 67. (a) 1.0 X 104W (b) 13 hp 69. 6.7 X 102 N 71. (a) Bow 1 requires more work. (1)) 25 J 73. (a) 93 J (b) No work is done on the skater. (c) 2.3 m/s 75. 7.07 m/s 77. 6.6 m/s 79. 2.2 X 103] 81. 256 N 83. (a) 2.8 J (b) 35 N 85. 1.7 111/5 87. 3.40 X 102 N CHAPTER 7 1. 9.6 ms 3. 1.8 N. downward 5. -8.7 kg' m/s 7. +51 X 107 kg-m/s 9. (a) +2.2 X 103 N (b) +4.4 x 103 N 11. 6.7 In 13. 3.7 N ~ 5 15. +344 N 17. 84 kg 19. 96 kg 21. 4500 m/s. in the same direction that the rocket had before the explosion 23. m, = 1.00 kg. m; = 1.00 kg 25. 0.707 27. +547 m/s 29. (a) —0.432 m/s (b) +1.82 m/s 31. 7.4% 33. (a) 5.00—kg ball: —0.400 m/s. 7.50—kg ball: +1.60 m/s (b) both balls: +0800 m/s 35. +9.3 m/s 37. +9.09 111/5 39. (21) +8.9 m/s (b) —3.6 X 104N-s (e) 5.9 m 41. (a) 730° (b) 4.28 m/s 43.2.175 X 10‘3 45. (a) 5.56 m/s (b) 1.50-kg ball: —2.83 m/s, 4.60-kg ball: +2.73 m/s (c) 1.50—kg ball: 0.409 m. 4.60-kg ball: 0.380 m 47. 8 bounces 49. (21) +1.0 m/s (b) + 1.0 m/s (c) equal to 51. (a) —1.05 m/s (b) +2.53 m/s 53. (a) — 1.5 m/s (b) +1.1 m/s 55. (a) 4.89 m/s (b) 1.22 m 57. —1.5 X 10‘4m/s 59. 9.5% 61.1.5 x 10‘[0 m/s 63. (a) —0. 14 m/s (b) —7.1 X 10‘3 m/s 65. 0.097 m CHAPTER 8 1. 63.7 grad 3. (21) +7.3 X 10'5 rad/s (b) +2.0 >< 10‘71‘ad/s 5. 21 rad 7. (2) +0.75 rad/s2 (b) —0.75 rad/s2 (e) +1.0 rad/s;2 (d) —2.0 rad/s2 9. 8.0 s 11. 128 s 13. 1200 s 15. 6.05 m 17. (a) 2.00 X 10‘2 s (b) 4.00 X 10‘2 s 19. 25 rev 21. (a) 4.00 X 10' rad (b) 15.0 rad/s 23. (a) 54.0 rad/s (b) 486 rad 25. (a) 10.0 s (b) —2.00 rad/sZ 27. +267 rad 29. 1.95 X 104 rad 3]. 2.1 rev 33. 7.37 s 35. (a) 7.50 rad/s (b) — 1.73 X 10‘3 rad/s2 (The angular velocity is decreasing.) 37.0.18 m 39. 22 rev/s 41. (a) 1.25 m/s (b) 7.98 rev/s 43. (a) 3.61 rad/s (b) 6.53 rad/s2 45. 0.87 47. (a) 0583 m/s2 (b) 310° 49. 0.577 51.(a) 2.4 x 105m/s (b) 5.3 x 1030 N 53. 8.71 rad/s2 55. 693 rad 57. (a) +1.4 rad/s2 (b) +33 rad 59. (a) 8.33 rad/s. counterclockwise (b) 14.7 rad/s. clockwise 61. 974 rev 63. 2 rev 65. (a) 2.5 m/s2 (b) 3.1 111/52 67. 157.3 rad/s 69. 0.62 m 71. 4.63 m/s 73. 12.5 s 75. 1.43 X 10" m/s CHAPTER 9 1.1.70 X 103N~m 3. 2.] X 102 N 5. (a) 27 N- m (b) 34° 7. 43.7° 9. (3) FL (1)) FL (c) FL 11. 1.03 in 13. (a) 2590 N (b) 2010 N 15. 1200 N. to the left 17. 24 111/5 19. '1: = 56.4 N. clown F = 70.6 N, up 21. V =170N.P = 270N. H = 210N 23. 376° 25. (a) 2260 N (b) horizontal component: 1450 N. vertical component: 1450 N 27. (a) 1.21 X 103 N (b) 1.01 X 10‘1 N. downward 29. 51.4 N 31. 8.0 X 10‘4 N'm 33. 0.027 kg ' m2 35. hoop: 0.20 N r m. disk: 0.10 N - m 37. 0.50 rad/s2 39. 0.060 kg ~ m2 4]. 2.0 s 43. (a) system A: 229 kg ' 1112. system B: 321 kg-m2 (1)) system A: - 1270 N -m, system B: 0 N-m (c) system A: —27.7 rad/s. system B: 0 rad/s 45. 0.78 N 47. 22.0 kg 49. 6.1 X 105 rev/min 51. (a) object 1: 12.0 m/s. object 2: 9.00 m/s. object 3: 18.0 m/s (b) 1.08 x 1031 (c) 60.0 kg-m2 (d) 1.08 X 1031 53. 2/7 55. 3/4 57. 1.3 m/s 59. 4.4 kg ' m2 61. 1.83 rad/s 63. 0.26 rad/s 65. 8% 67. 0.573 m 69. (a) 13 500 N-m (b) 132 01X) N 1 m 71. 8.2 rad/s2 73. (a) 5.94 rad/s2 (b) 44.0 N 75. (a) 7.40 X 102 N. downward (b) 0.851 m 77. 34 m/s (for each module) 79. 1.7 1n CHAPTER 1 O l. 237 N 3. 650 N/m 5. 0.012 m 7. 1.4 kg 9. 0.240 m 11. 2.29 X 10'3 m 13. (a) 0.407 m (b) 397 N 15. 3.5 X 104 N/m 17. (a) —9.84 N (b) 10.5 rad/s (c) 1.26 m/s ((1) 13.2 m/s2 19. (a) 0.450 m (h) 3.31 rad/s (c) 1.49 m/s 21. 4.3 kg 23. 140 N/m 25.(a)-1.84 x1181 (b) +1.84 X 1021 (c) 0.1 27. (a) 58.8 N/m (b) l 1.4 rad/s 29. /1 P13 PE (meters) KE (gravity) (elastic) E 0 0.1 01 8.76 .1 8.761 0.200 1.001 3.92 1 3.84 1 8.76 1 0.400 01 7.84 1 0.92.1 8.76 J 31. 14 m/s 33. 7.18 X 10"2 m 35. 0.50 m/s 37. 24.2 rad/s 39. 0.44 111/5 41. 2.37 X 103 N/m 43. 0.40 s 45. (a) 3.5 rad/s (b) 2.0 X 10‘2 J (c) 0.41 m/s 47. (a) 1.64 s (b) 1.64 s ANSWERS TO ODD-NUMBERED PROBLEMS A-19 49. 0.54 s 51. 5.2 X 10"4 m 53. 260 m 55. 2.9 X 10‘2 m 57. 3.7 X 10'5 m 59. 1.6 X 105 N 61.2.3 X 10'6m 63. (a) 1.8 X 10‘7 m (b) 1.0 X 10‘6m 65.1.2 X 10“ N/m2 67. (a) 2.5 X 10‘4 (b) 7.5 X 10‘5 m 69.4.6 X 10’4 71. 12 111 73.2.1 X 10~5 m 75. 6.0 rad/s 77.61 kg 79. +0.50 m 81.(a) amplitude = 3.59 X 10'2 m. frequency = 4.24 Hz (b) amplitude = 5.08 X 10‘2 m. frequency = 4.24 Hz 83. (a) 2.66 Hz (1)) 0.0350 m 85. 1.25 m/s (1 1.2-kg block). 0.645 111/5 (21 .7-kg block) 87. 33.4 m/s 89. —4.4 X 10'5 91. (a) 0.25 s (b) 0.75 s CHAPTER 1 1 1. 8750 N. The bed should not be purchased. . 317 m2 . 3.91 X 10‘6m3 1.9 gal 9. 4240 s 11.1.1 ><103N 13. 24 15. 32 N 17. 2.4 X 103 Pa 19. 0.750111 21. 7.0 X 105 Pa 23. 2.9 X 104 Pa 25. 0.50 m 27. (a) 2.45 X 105 Pa (b) 1.73 X 105 Pa 29. 31.3 rad/s 31. 2.3 X 108 N 33. 3.8 X 105N 35. (a) 93.0 N (b) 94.9 N 37. 108 N 39. 8.50 x 10‘ N‘m 41. 4.89 m 43. 250 kg/m3 45. 390 kg/m‘ 47. 7.9 X 10‘4 m3 49. 6.3 X 10‘3 kg 51. 7.6 X 10“2 1n 53. 1120 N 55. 4.5 X 10‘5 kg/s flUIbJ 57. 59. 61. 63. 65. 67. 69. 71. 73. 75. 77. 79. 81. 83. 85. 87. 89. 91. 93. 95. 97. 99. 101. 103. (a) 0.18 m (b) 0.14 m 0.816 (a) 150 Pa (b) The pressure inside the 1‘001’is greater than the pressure on the out- side. Therefore. there is a net out- ward force on the roof that can blow it outward if the wind speed is suffi- ciently high. 1.92 X 105 N 96 Pa 3.0 X 105 Pa (:1) 14 m/s (b) 0.98 m3/s (a) 32.8 m/s (b) 54.9 m 33 m/s 7.78 m/s (a) 1.01 X 105 Pa (b) 1.19 X 105Pa 1.19 1.7 in 2.25 (a) 1.26 x 105 Pa (b) 19.4 m 59 N 8.3 X 103 lb 7.0 X 10'2 m 10.3 m (a) 1.6 X 10'4 n13/s (b) 2.0 X 10' m/s 0.20 m 0.74 in 78.4 gal/min 1.41 X 105 N. downward CHAPTER 1 2 1. 3. ’JI ll. 13. 15. 17. 19. 21. 23. 25. 27. 29. 31. 33. 35. 37. —459.67 °F (3) 102 °C (day). - 173 °C (night) (b) 215 °F (day). —2.80 X 102 °F(night) . (a) —196 °C (b) —321 °F — 164 °C 7]. = TF + 459.67 1500 m (a) The radius will be larger. (b) 0.0017 1.7 x 10'5(C°)"' 5.8 m 49 °C 2.0027 s 41 °C 26 °C 18 N 2.5 x 10“7 m3 230 C° 7.3 X 10"’m3 0.33 gal (21) The apparent weight will be larger after the sphere cools. (b) 18 N 45 atm ...
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answers_odd_problems - ANSWERS TO ODD-NUMBERED PROBLEMS...

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