Fisica

Chapter 2. Technical Mathematics

Signed Numbers

2-1. +7 2-8. -17 2-15. +2 2-22. +12
2-2. +4 2-9. +6 2-16. -2 2-23. +8
2-3. +2 2-10. -32 2-17. -4 2-24. -4
2-4. -2 2-11. -36 2-18. -3 2-25. 0
2-5. -10 2-12. +24 2-19. +2 2-26. +220
2-6. -33 2-13. -48 2-20. -4 2-27. +32
2-7. -5 2-14. +144 2-21. -3 2-28. -32
2-29. (a) -60C; (b) -170C; (c) 360C

2-30. (L = 2 mm[(-300C) – (-50C)] = 2 mm(-25) = -50 mm; Decrease in length.

Algebra Review

2-31. x = (2) + (-3) + (-2) = -3; x = -3 2-32. x = (2) – (-3) – (-2) = +7; x = +7
2-33. x = (-3) + (-2) - (+2) = -7; x = -7 2-34. x = -3[(2) – (-2)] = -3(2 + 2) = -12; x = -12
2-35. [pic] 2-36. [pic]
2-37. x = (-3)2 – (-2)2 = 9 – 4 = 5; x = 5 2-38. [pic]
2-39. [pic] 2-40. x = (2)2 + (-3)2 + (-2)2; x = 17
2-41. [pic] 2-42. x = (2)(-3)[(-2) – (+2)]2; x = -6(-4)2 = -96
2-43. Solve for x: 2ax – b = c; 2ax = b + c; [pic]
2-44. [pic]
2-45. [pic]
2-46. [pic]

2-47. 5m – 16 = 3m – 4 2-48. 3p = 7p - 16 5m – 3m = -4 + 16 3p – 7p = -16 2m = 12; m = 6 -4p = - 16; p = +4
2-49. 4m = 2(m – 4) 2-50. 3(m – 6) = 6 4m = 2m – 8 3m – 18 = 6 2m = -8; m = -4 3m = 24; m = +8
2-51. [pic] 2-52. [pic]
2-53. [pic] 2-54. 14 = 2(b – 7); 14 = 2b – 14; b = 14
2-55. R2 = (4)2 + (3)2 = 16 + 9 2-56. [pic] [pic] 3p = 6 + p; p = 3
2-57. V = IR; [pic] 2-58. [pic]
2-59. [pic] 2-60. s = vt + d; d = s – vt
2-61. [pic] 2-62. s = ½at2; 2s = at2; [pic]
2-63. [pic] 2-64. [pic]
2-65.[pic] 2-66. [pic] [pic] [pic]
2-67. [pic] 2-68. [pic] [pic] [pic]
2-69. v = vo + at; v – v0 = at 2-70. c2 = a2 + b2 ; b2 = c2 - a2 [pic] [pic]
Exponents and Radicals 2-71. 212 2-72. 3523 2-73. x10 2-74. x5 2-75. 1/a 2-76. a/b2 2-77. 1/22 2-78. a2/b2 2-79. 2x5 2-80.