CHAPTER 1- Models, Measurements, and Vectors

1-1. 0.621 mi

1-2. 1.00 x 10³ kg/m³

1-3. 153 in³

1-4. $2.71 per gallon

1-5. 8.64 x 10⁴ s; 3015 x 10⁷ s

1-6. a. 0.403 mi/s b. 648 m/s

1-7. 35.3 mi/gal

1-8. 44.6 mi/hr

1-9. a. .02% b. 0.007% c. 0.06%

1-10. a. .040% b. 8.5 x 10^-6 %

1-11. 0.00382

1-12. 0.9962 ± 0.0008; yes

1-13. 5.50 x 10³ kg/m³

1-14. 10⁵

1-15. 10,000

1-16. 2 x 10⁵ m³; comparable

1-17. 1 km on a side

1-18. no; barely

1-19. 4000

1-20. 10²⁶

1-21. 6km; 1m

1-22. 3 x 10⁹ beats; 4 x 10⁷ gallons

1-23. 10¹⁵ dollars

1-24. 10⁶ N (2 x 10⁵ lb); 1000N (200 lb)

1-25. 10¹²; no

1-26. 7000

1-27. 12 in.; at 45° to initial direction of the line

1-28. 4.24 mi, 63.2° N of E

1-29. a. 15m, 53° b. 26m, 210°

1-30. 75m; 118°

1-31. a. 4.70m, 8.14m b. 10.6km, -10.6km c. –3.67cm, 2.77cm

1-32. A. 7.2m, 9.6m B. 11.5m, -9.6m C. –3.0m, -5.2m

1-33. a. 6.06cm, 302° b. 11.0m, 240° c. 7.16km, 107°

1-34. a. 2.70cm, -2.08cm b. 3.41cm, 322° c. –7.10cm, 9.36 cm d. 11.7cm, 127°

1-35. 6.95km, 63.2° N of E

1-36. 4.24 mi, 63.2° N of E

1-37. a. 15m, 53° b. 26m, 210°

1-38. a. 7.04 x 10^-10 s b.5.11 x 10¹² cycles c. 2.1 x 10²⁶ cycles d. 4.6 x 10⁴ s (13 hr)

1-39. a. 508 cm, 0.0° b. 10.0 cm, 90° c. 10.0 cm, 270°

1-40. 6.03m, 48.0°

1-41. a. 1.17cm, -1.04cm b. 1.57 cm, 318°

1-42. 74.6m, 118°

1-43.

1-44.

3.31km, 46.6° S of E

1-45. 3.61km, 18.3° S of E

1-46. a. 2.6 x 10⁵⁰ atoms b. 2.4 x 10⁵⁷ neutrons c. 1.2 x 10⁷⁹ particles