Answers to Odd-Numbered Problems

Answers to Odd-Numbered Problems - Answers to Odd-Numbered...

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A.37 CHAPTER 1 1. 0.141 nm 3. 2.15 ± 10 4 kg/m 3 5. 4 ²³ ( r 2 3 ´ r 1 3 )/3 7. (a) 4.00 u µ 6.64 ± 10 ´ 24 g (b) 55.9 u µ 9.28 ± 10 ´ 23 g (c) 207 u µ 3.44 ± 10 ´ 22 g 9. 8.72 ± 10 11 atom/s 11. (a) 72.6 kg (b) 7.82 ± 10 26 atoms 13. No. 15. (b) only 17. The units of G are m 3 /kg·s 2 19. 9.19 nm/s 21. 1.39 ± 10 3 m 2 23. (a) 0.071 4 gal/s (b) 2.70 ± 10 ´ 4 m 3 /s (c) 1.03 h 25. 11.4 ± 10 3 kg/m 3 27. 667 lb/s 29. (a) 190 yr (b) 2.32 ± 10 4 times 31. 151 m 33. 1.00 ± 10 10 lb 35. (a) 2.07 mm (b) 8.62 ± 10 13 times as large 37. 5.0 m 39. 2.86 cm 41. ± 10 6 balls 43. ± 10 7 45. ± 10 2 kg; ± 10 3 kg 47. ± 10 2 tuners 49. (a) (346 · 13) m 2 (b) (66.0 · 1.3) m 51. (1.61 · 0.17) ± 10 3 kg/m 3 53. 31 556 926.0 s 55. 5.2 m 3 , 3% 57. 2.57 ± 10 ´ 10 m 59. 0.579 t ft 3 /s ¸ 1.19 ± 10 ´ 9 t 2 ft 3 /s 2 61. 3.41 m 63. 0.449% 65. (a) 0.529 cm/s (b) 11.5 cm/s 67. 1 ± 10 10 gal/yr 69. ± 10 11 stars 71. (a) 3.16 ± 10 7 s/yr (b) 6.05 ± 10 10 yr CHAPTER 2 1. (a) 2.30 m/s (b) 16.1 m/s (c) 11.5 m/s 3. (a) 5 m/s (b) 1.2 m/s (c) ´ 2.5 m/s (d) ´ 3.3 m/s (e) 0 5. (a) 3.75 m/s (b) 0 7. (a) ´ 2.4 m/s (b) ´ 3.8 m/s (c) 4.0 s 9. (a) 5.0 m/s (b) ´ 2.5 m/s (c) 0 (d) 5.0 m/s 11. 1.34 ± 10 4 m/s 2 13. (a) 52.4 ft/s, 55.0 ft/s, 55.5 ft/s, 57.4 ft/s (b) 0.598 ft/s 2 15. (a) 2.00 m (b) ´ 3.00 m/s (c) ´ 2.00 m/s 2 17. (a) 1.3 m/s 2 (b) 2.0 m/s 2 at 3 s (c) at t µ 6 s and for t ¹ 10 s (d) ´ 1.5 m/s 2 at 8 s 19. 2.74 ± 10 5 m/s 2 , which is 2.79 ± 10 4 g 21. ´ 16.0 cm/s 2 23. (a) 4.53 s (b) 14.1 m/s 25. (a) 2.56 m (b) ´ 3.00 m/s 27. (a) 20.0 s (b) no 29. 3.10 m/s 31. (a) ´ 202 m/s 2 (b) 198 m 33. (a) 4.98 ± 10 ´ 9 s (b) 1.20 ± 10 15 m/s 2 35. (a) v c / t m (c) v c t 0 /2 (d) v c t 0 (e) yes, no 37. (a) 3.00 m/s (b) 6.00 s (c) ´ 0.300 m/s 2 (d) 2.05 m/s 39. 31 s 41. $99.3/h 43. (a) 10.0 m/s up (b) 4.68 m/s down 45. (a) 2.17 s (b) ´ 21.2 m/s (c) 2.23 s 47. (a) 29.4 m/s (b) 44.1 m 49. (a) 7.82 m (b) 0.782 s 51. 7.96 s 53. (a) a x ( t ) µ a xi ¸ Jt, v x ( t ) µ v xi ¸ a xi t ¸ (1/2) Jt 2 , x ( t ) µ x i ¸ v xi t ¸ (1/2) a xi t 2 ¸ (1/6) Jt 3 55. (a) a µ´ (10.0 ± 10 7 m/s 3 ) t ¸ 3.00 ± 5 2 ; x (1.67 ± 7 3 ) t 3 ¸ (1.50 ± 5 2 ) t 2 (b) 3.00 ± 10 ´ 3 s (c) 450 m/s (d) 0.900 m 59. (a) Acela steadily cruises out of the city center at 45 mi/h. In less than a minute it smoothly speeds up to 150 mi/h; then its speed is nudged up to 170 mi/h. Next it smoothly slows to a very low speed, which it maintains as it rolls into a railroad yard. When it stops, it immediately begins backing up and smoothly speeds up to 50 mi/h in reverse, all in less than seven minutes after it started. (b) 2.2 mi/h/s µ 0.98 m/s 2 (c) 6.7 mi 61. 48.0 mm 63. (a) 15.0 s (b) 30.0 m/s (c) 225 m 65. (a) 5.43 m/s 2 and 3.83 m/s 2 (b) 10.9 m/s and 11.5 m/s (c) Maggie by 2.62 m 67. ± 10 3 m/s 2 Answers to Odd-Numbered Problems
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69. (a) 3.00 s (b) ± 15.3 m/s (c) 31.4 m/s down and 34.8 m/s down 71. (c) v 2 boy / h , 0 (d) v boy , 0 73. (a) 5.46 s (b) 73.0 m (c) v Stan ² 22.6 m/s, v Kathy ² 26.7 m/s 75. 0.577 v CHAPTER 3 1. ( ± 2.75, ± 4.76) m 3. (a) 2.24 m (b) 2.24 m at 26.6° 5. y ² 1.15; r ² 2.31 7. 70.0 m 9. 310 km at 57° S of W 11. (a) 10.0 m (b) 15.7 m (c) 0 13. (a) ± 10 5 m vertically upward (b) ± 10 3 m vertically upward 15. (a) 5.2 m at 60° (b) 3.0 m at 330° (c) 3.0 m at 150° (d) 5.2 m at 300° 17. approximately 420 ft at ± 19. 47.2 units at 122° 21. (a) ( ± 11.1 ˆ i ³ 6.40 ˆ j ) m (b) (1.65 ˆ i ³ 2.86 ˆ j )cm (c) ( ± 18.0 ˆ i ± 12.6 ˆ j ) in. 23. (a) 5.00 blocks at 53.1° N of E (b) 13.0 blocks 25. 358 m at 2.00° S of E 27. (a) (b) C ² 5.00 ˆ i ³ 4.00 ˆ j or 6.40 at 38.7°; D ²± 1.00 ˆ i ³ 8.00 ˆ j or 8.06 at 97.2° 29. 196 cm at 345° 31. (a) 2.00 ˆ i ± 6.00 ˆ j (b) 4.00 ˆ i ³ 2.00 ˆ j (c) 6.32 (d) 4.47 (e) 288°; 26.6° 33. 9.48 m at 166° 35. (a) 185 N at 77.8° from the ³ x axis (b) ( ± 39.3 ˆ i ± 181 ˆ j )N 37. A ³ B ² (2.60 ˆ i ³ 4.50 ˆ j )m 39. ² B ² ² 7.81, ´ x ² 59.2°, y ² 39.8°, z ² 67.4° 41. (a) 8.00 ˆ i ³ 12.0 ˆ j ± 4.00 ˆ k (b) 2.00 ˆ i ³ 3.00 ˆ j ± 1.00
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Answers to Odd-Numbered Problems - Answers to Odd-Numbered...

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