Download 1A1 – Unit Conversions Alex Rodriguez makes signed a 10 year

1A1 – Unit Conversions
1. Alex Rodriguez makes signed a 10 year 252 million dollar contract to play baseball. How much will he
make every second of his life for these ten years?
2. Michael Schumacher drives one of the two Ferrari Formula One team's open wheel Grand Prix racecars.
He is paid a retainer estimated at $40 million to drive these unparalleled racers in 16 races world wide,
from Malaysia to Monaco. If it takes roughly 3 hr to complete a race, how much does Michael
Schumacher make every second he is driving in a race?
3. Suppose that a pancake receipt designed to feed four people calls for 600mL of flour. How many Liters
of flour would you use if you wanted to extend the recipe to feed six people?
4. Suppose that a cupcake recipe designed to produce twelve cupcakes calls for 1000mL of flour. How
many centiliters of flour would you use if you wanted to make only nine cupcakes.
5. A book is 277mm in length. What is this length in centimeters? In meters?
6. A crate has a mass of 5.65 kg. What is this mass in grams? In milligrams?
7. A large tank holds 5.24kL of water. How many liters is this tank? How many milliliters?
8. A mile is 5280ft long. One foot is approximately 0.305m. How many meters are there in a mile? How
many kilometers are there in a mile?
9. If a mile is 5280ft long and a yard contains 3ft, how many yards are there in a mile?
10. Area is found by multiplying the length of a surface times the width. If a floor measures 6.25m2, how
many square centimeters does this represent?
11. How many square centimeters are there in 1m2?
12. Convert 4008g into mg
13. Convert 48mL into L
14. Convert 239mm into cm
15. Convert 38kg into mg
16. Convert 34 g into kg
17. Convert 782 cm into m
18. Convert .034 m into km
19. Convert .00003 cm into m
20. Convert 43 km into m
21. Convert .0034 m into cm
22. Convert 5493 cm into km
23. Convert 14 hr into sec
24. Convert 22 km/hr into m/s
25. Convert 12 cm/s into m/s
1B1 - Metric Prefixes
26. One light-year is the distance light travels in one year. This distance is equal to 9.461X1015m. After the
sun, the star nearest to Earth is Alpha Centauri, which is about 4.35 light years from Earth. Express this
distance in mega meters and picometers.
27. It is estimated that the sun will exhaust all of its energy in about ten billion years. By that time, it will
have radiated about 1.2X1044J (joules) of energy. Express this amount of energy in kilojoules and
nanojoules.
28. The smallest living organism discovered so far is called a mycoplasm. Its mass is estimated as 1.0X1016
g. Express this mass in petagrams, femtograms, and attograms.
29. The “extreme” prefixes that are officially recognized are yocto, which indicates a fraction equal to 10-24,
and yotta, which indicates a factor equal to 1024. The maximum distance from Earth to the sun is
152,100,000km. Using scientific notation, express this distance in yoctometers (ym) and yottameters
(Ym).
30. In 1993, the total production of nuclear energy in the world was 2.1X1015watt-hours, where a watt is
equal to one joule (J) per second. Express this number in joules and gigajoules.
31. In Einstein’s special theory of relativity, mass and energy are equivalent. An expression of this
equivalence can be made in terms of electron volts (unit of energy) and kilograms, with one electron volt
(eV) being equal to 1.78X10-36kg. Using this ratio, express the mass of the heaviest mammal on earth,
the blue whale, which has an average mass of 1.90X105kg, in mega electron volts and tera electron
volts.
32. The most massive star yet discovered in our galaxy is one of the stars in the Carina Nebula, Which can
be seen from the Earth’s Southern Hemisphere and from the tropical latitudes of the Northern
Hemisphere. The star, designated as Eta Carinae, is believed to be 200 times as massive as the sun,
which has a mass nearly 2X1030kg. Find the mass of Eta Carinae in milligrams and exagrams.
33. The Pacific Ocean has a surface area of about 166,241,700km2 and an average depth of 3940m. Estimate
the volume of the Pacific Ocean in cubic centimeters and cubic millimeters.
34. One of the more unusual of world wonders is the Plain of Jars in Laos. Several hundred huge stone jars,
which do not seem to be made from local rock, are scattered across the plain. The largest of these jars
has a mass of around 6.0X103kg. Express this mass in milligrams and mega grams.
35. The French drink about 6.4X104cm3 of mineral water per person per year. Express this volume in cubic
meters and cubic millimeters.
36. The explosive energy of powerful explosives is measured in terms of “tons.” The ton referred to a ton of
TNT (trinitrotoluene), one of the most powerful of chemical explosives. A ton of TNT will release
4.2X109J (joules). Express this energy in mega joules and gigajoules.
37. A parsec, a distance measurement used by astronaut, is equal to 3.262 light years, where a light year is
the distance light travels in one year. In SI units, a parsec equals 3.086X1016m. Express this distance in
kilometers and exameters
38. An acre is a common unit used to measure area of a portion of land. An acre is equal to about
4.0469X103m2. Express this area in square kilometers and square centimeters.
39. Electric charge is measured in terms of the coulomb (1C), although this is a very large and not extremely
practical unit of measurement. For example, the charge in a bolt of lightning is about 15C. Express the
charge in a lightning bolt in millicoulmbs and kilo coulombs.
40. The wettest spot on Earth is generally considered to be Mt. Waialeale, on the island of Kauai, Hawaii. In
one year, this long-extinct volcano receives 1.168X103cm of rainfall. Express this quantity in meters and
micrometers.
41. The United States Department of Defense is housed in the Pentagon, one of the largest office buildings
in the world. The entire floor area of the Pentagon equals 0.344279 km2. Express this area in square
meters and square millimeters
42. The Earth is approximately 4.50 billion years old. Setting 1 year equal to 365.25 days, express the age of
the Earth in gigaseconds and petaseconds.
43. One of the isotopes with the shortest half-life (the time it takes for half of a sample of the element to
decay) is beryllium-8. Its half-life is measured as 6.7X10-17s. Express this time in microseconds and
attoseconds.
1C1 – Mathematical Operations with Scientific Notation
44. 374.5 J + 754.743 J
45. 12.45 Pa / 2.597 Pa
46. 8.283X106N X 3.45X1023N
47. 4.3X106J – 4.70X103J
48. 7.21X104kg – 7.20X104kg
49. 9.0X1016N X 5.67X1018N
50. 2.34X10-31m + 6.76X10-30m
51. 7.39X1060J / 4.658X1064J
52. 4.5X10-91m/s + 2.87X10-90m/s
53. 4.92X1068kg / 9.64X1067kg
54. 3.4189X10-3Nm – 7.5783X10-4Nm
55. 8.10X105J X 5.6X104J
56. 3.456X10-3w + 9.0001X10-4w
57. 5.43X10-6kg / 5.48X10-4kg
58. 1.74X107m/s2 / 1.92X107m/s2
59. 6.01X103N X 1.1X103N
60. 9.453X1099m + 7.4587X1093m
61. 3.46X106J - 3.45X106J
62. 1.90X1046mm – 5.6X1045mm
63. 8.32X105g + 9.123X105g
64. 9.64X107N X 3.74X1034N
1D1 – Trigonometry
65. Complete the following triangle.
4m
3.3m
66. Complete the following triangle.
5.7km
56°
67. Complete the following triangle.
22cm
18cm
68. Complete the following triangle.
2m
69. Complete the following triangle.
14m
16m
70. Complete the following triangle.
40°
56km
71. Complete the following triangle.
90m
77°
72. Complete the following triangle.
586m
823m
6°
73. Complete the following triangle.
32°
82cm
74. Complete the following triangle.
82°
47m
75. Complete the following triangle.
47°
33m
1E1 – Graphing
76. A car was designed so that each time one liter of gasoline was used, a light would flash on and the driver
would then read the number of kilometers traveled. The data are given below. Make a graph and answer
the questions about the graph.
Liters
Kilometers
1
6
2
12
3
18
4
24
5
30
a. Which is the independent variable?
b. What is the slope of the line?
c. What distance would be expected for 1.5 liters?
d. What distance would be expected for 6 liters?
77. Data are given for the distance a boy covered as he was riding his bike. Make a graph and answer the
questions about the graph.
Time(s)
10.0
20.0
40.0
50.0
Distance (m)
2.0
8.0
32.0
50.0
a. Which is the independent variable?
b. What is the general equation of this line?
c. What does the line show in this type of graph?
d. What does this graph show about the motion of the boy?
e. What distance would be expected for 30.0s?
f. What distance would be expected for 60.0s?
78. An airplane is coming to a stop on the runway. Data is given showing the velocity the plane travels at
specific time intervals. Make a graph and answer the questions about the graph.
Time(s)
Velocity (m/s)
10.0
256.0
30.0
85.3
40.0
64.0
50.0
51.2
a.
b.
c.
d.
e.
f.
Which is the independent variable?
What is the general equation of this line?
What does the line show in this type of graph?
What does this graph show about the motion of the plane?
What velocity would be expected for 20.0s?
What velocity would be expected for 0.0s?