1. Mathematics in Physics
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. Length meter m
Mass kilogram kg
Time second s
Temp. kelvin K
Matter mole mol
Current amp A
Lum. Int. candela cd

8. Drill
A bird flies east for 30 min at 20 mph, then flies west for 45 min at 16 mph, then flies east for 75 min at 4 mph. How far is the bird from its original position?

9. SI Prefixes

10. Nano n
micro m
milli m
centi c
deci d
kilo k
mega M 1,000,
giga G 1,000,000,

11. Scientific Notation

12. M x 10n
 M < 10
n = an integer

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

14. Convert each of the following to scientific notation: 620,000,000 0

15. Addition & Subtraction in Scientific Notation

16. When adding w/o calculator
change all additives to the same power of ten
add coefficients
power of ten remains constant
3 x x x x 105
When adding with calculator
all scientific notations must be within parentheses
3 x x (3 x 104) + (4 x 105)

17. 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

18. Add: x x x x

19. Subtract: x x x x

20. Add: Subtract: 2.25 x 1016 3.40 x 10-18 7.7 x 1015 - 6.2 x 10-19

21. Multiplication & Division in Scientific Notation

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

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

24. Multiply: x x x x 1018

25. divide: x x x x

26. Compute: x x x x 1085 x

27. Measurement Uncertainties

28. Accuracy

29. How close the measurement is to the correct measurement

30. Precision

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

32. Significant Digits

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

34. Determine Sig Dig:

35. Conversion Factors
Ratios = 1

36. 100 cm
1 m
= 1
1 m
100 cm
= 1

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

38. 1 nm
10-9 m
= 1
1 mm
10-6 m
= 1

39. 1mm
10-3 m
= 1
1 cm
10-2 m
= 1

40. 1km
103 m
= 1
1 Mm
106 m
= 1

41. 1Gm
109 m
= 1
109 m
1 Gm
= 1

42. 1 mm
10-3 m
44 m x =
44 x 103 mm =
4.4 x 104 mm

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

44. Parallax

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

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

47. Common Units v = velocity in (m/s) a = acceleration in (m/s2)
F = force in (N)
N = Newton = kgm/s2

48. Common Units W = work in (J) J = Joules = kgm2/s2 P = Power in (W)
W = Watts = kgm2/s3

49. Graphing Data

51. Convert: 1) 44 mm to km 2) 21 ms to Ms 3) 64 cg to ng

52. Convert: 1) 3.5 mm3 to m3
2) 3.6 km/hr to m/s

53. A measure of mass per unit volume
Density
A measure of mass per unit volume

54. Density (D) (r)
r = m/V

55. Calculate the density of 750 g of a substance occupying 12
Calculate the density of 750 g of a substance occupying 12.5 mL of space.

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

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

58. Convert: 47 mg/nL
to mg/mL

59. Calculate the density in g/cm3 of a 0
Calculate the density in g/cm3 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 r = m/V

60. Convert: 144 km/hr
to mm/ns

61. Convert: 250 kg/m3 to mg/cm3

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

63. Drill: Convert:
4.6 mg/nL to Mg/m3
1 mL = 1 cm3

64. Convert:
2.5 x 108 miles/year to mm/ms
2.54 cm = 1.00 inch

65. Name & describe the seven basic units

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

67. Calculate the density in g/mL of 7. 520 x 104 kg of stuff occupying 2
Calculate the density in g/mL of x 104 kg of stuff occupying 2.5 x 103 m3 of space.

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

69. Review Lab Due Monday