1. Chapter 2 Mathematics in Physics

2. Metric System

3. A system of Measurements that is based on the power of ten or multiples of ten

4. SI International System

5. The system of measurements that has been adopted by the scientific world based on the metric system

6. Basic Units

7. Lengthmeterm Masskilogramkg Timeseconds Temp.kelvinK Mattermolemol CurrentampA Lum. Int.candelacd

8. SI Prefixes

9. Nanon0.00000000110 -9 micro  0.00000110 -6 millim0.00110 -3 centic0.0110 -2 decid0.110 -1 kilok100010 3 megaM1,000,00010 6 gigaG1,000,000,00010 9

10. Scientific Notation

11. M x 10 n 1.00...  M < 10 n = an integer

12. M x 10 n M is the coefficient n is the exponent

13. Convert each of the following to scientific notation: 620,000,000 0.000 000 000 045 210,000

14. Addition & Subtraction in Scientific Notation

15. When adding w/o calculator –change all additives to the same power of ten –add coefficients –power of ten remains constant –3 x 10 4 + 4 x 10 5 0.3 x 10 5 + 4 x 10 5 When adding with calculator –all scientific notations must be within parentheses –3 x 10 4 + 4 x 10 5 (3 x 10 4 ) + (4 x 10 5 )

16. When subtracting w/o a calculator –change all numbers to the same exponent –subtract coefficients –keep exponents constant When subtracting with a calculator –place all scientific notations within parentheses

17. Add: 4.10 x 10 16 3.4 x 10 -186 5.2 x 10 15 6.20 x 10 -185

18. Subtract: 4.10 x 10 16 3.4 x 10 -186 5.2 x 10 15 6.20 x 10 -185

19. Add:Subtract: 2.25 x 10 16 3.40 x 10 -18 7.7 x 10 15 - 6.2 x 10 -19

20. Multiplication & Division in Scientific Notation

21. When multiplying w/o a calculator –multiply coefficients –add exponents When multiplying with a calculator –place all scientific notations within parentheses

22. When dividing in w/o a calculator –divide coefficients –subtract exponents When dividing in with a calculator –place all scientific notations within parentheses

23. Multiply: 4.10 x 10 126 2.0 x 10 -186 3.0 x 10 15 1.20 x 10 18

24. divide: 4.40 x 10 16 6.4 x 10 186 2.2 x 10 15 3.20 x 10 -185

25. Compute: 4.40 x 10 -6 6.4 x 10 186 2.0 x 10 15 3.20 x 10 85 x

26. Measurement Uncertainties

27. Accuracy

28. How close the measurement is to the correct measurement

29. Precision

30. How well one can repeat the same results in a measurement

31. Significant Digits

32. The valid digits in a measurement removing all digits that have too much uncertainty to count

33. Determine Sig Dig: 21521.5 2150021.500 0.000 215205 0.000 215 000 000

34. Conversion Factors Ratios = 1

35. 1 m 100 cm = 1 100 cm 1 m = 1

36. Conversion Factors When you multiply any number by a conversion factor, the number’s magnitude does not change

37. 1  m 10 -6 m = 1 1 nm 10 -9 m = 1

38. 1 cm 10 -2 m = 1 1mm 10 -3 m = 1

39. 1  m 10 6 m = 1 1km 10 3 m = 1

40. 10 9 m 1 Gm = 1 1Gm 10 9 m = 1

41. 1 mm 10 -3 m 44 m x = 44 x 10 3 mm = 4.4 x 10 4 mm

42. Drill: Convert: 1) 53  m to km 2) 80 Gbytes to Mbytes 3) 44 mg to ng 4) 62 cm to km

43. Parallax

44. Differences in a measurement due to the angle of observation

45. Common Units m = mass in (kg) t = time in (s) d = displacement in (m)

46. Common Units v = velocity in (m/s) a = acceleration in (m/s 2 ) F = force in (N) N = Newton = kgm/s 2

47. Common Units W = work in (J) J = Joules = kgm 2 /s 2 P = Power in (W) W = Watts = kgm 2 /s 3

48. Graphing Data

50. Convert: 1) 44 mm to km 2) 21  s to Ms 3) 64 cg to ng

51. Convert: 1) 3.5 mm 3 to m 3 2) 3.6 km/hr to m/s

52. Density A measure of mass per unit volume

53. Density (D) (  )  = m/V

54. Calculate the density of 750 g of a substance occupying 12.5 mL of space.

55. Convert: 1) 23 cm/ms to km/ns 2) 56  g/nL to kg/ML

56. Convert: 1800 km/hr to mm/ns

57. Convert: 47  g/nL to mg/  L

58. Calculate the density in g/cm 3 of a 0.62 Mg chunk of metal that has dimensions of 12.5 mm by 4.0 m by 2.0 x 10 -3 km. V = lwh  = m/V

59. Convert: 144 km/hr to  m/ns

60. Convert: 250 kg/m 3 to mg/cm 3

61. Convert: 1)1800 miles/hr to mm/ns 2.54 cm = 1 inch

62. Drill:Convert: 4.6  g/nL to Mg/m 3 1 mL = 1 cm 3

63. Convert: 2.5 x   miles/year to  m/ms 2.54 cm = 1.00 inch

64. Name & describe the seven basic units

65. Name & give the multiple for: k, m, M, , n, c, & G

66. Calculate the density in g/mL of 7.520 x 10 4 kg of stuff occupying 2.5 x 10 3 m 3 of space.

67. Calculate the volume in kL of an rectangular prism with a length of 25 cm, width of 40.0 mm, & a height of 33500 mm.

68. Review Lab Due Monday