Chapter 01
Overview

Multiple Choice Questions
 
1.  The measured length of a cylindrical laser beam is 12.1 meters, its measured diameter is 0.00121 meters, and its measured intensity is 1.21  105 W/m2. Which of these measurements is the most precise?  
A.  length 
B.  diameter 
C.  intensity 
D.  All three are equally precise. 

Bauer - Chapter 01 #1
Section: 01.02
less difficult
 
2. A sphere and a cube have the same volume. If the radius of the sphere is 5.00 cm, then what is the area of one side of the cube? 
A. 25.0 cm2
B. 65.0 cm2
C. 105 cm2
D. 125 cm2

Bauer - Chapter 01 #2
Section: 01.05
more difficult

 
3.  A sphere and a cube have the same volume. If the the edge of one side of the cube is 5.00 cm, then what is the surface area of the sphere?  
A.  25.0 cm2 
B.  121 cm2 
C.  150.0 cm2 
D.  105 cm2 

Bauer - Chapter 01 #2
Section: 01.05
more difficult
 
4.  Approximately how many water molecules are in one liter of water? One mole contains 6.02  1023 molecules, the density of water is 1.00∙103 grams/liter and the mass of one mole of water is 18.0 grams.  
A.  6.02  1023 
B.  3.34  1025 
C.  6.02  1026 
D.  1.08  1028 

Bauer - Chapter 01 #3
Section: 01.05
less difficult
 
5.   and   have the same non-zero magnitude. The magnitude of   +   is equal to the magnitude of   -  . What is the angle between   and  ? 
A. 30 degrees
B. 45 degrees
C. 60 degrees
D. 90 degrees

Bauer - Chapter 01 #4
Section: 01.06
less difficult

 
6.   and   have the same magnitude v. The direction of   is north and the direction of   is 60 degrees west of south. What is the magnitude of   -   ? 
A. zero
B. v
C. 
D. 2v

Bauer - Chapter 01 #5
Section: 01.06
less difficult
 
7. How many significant figures are in the number 0.00640? 
A. 1
B. 2
C. 3
D. 4
E. 5

Bauer - Chapter 01 #6
Section: 01.02
less difficult

 
8. What is the minimum number of post-it note sheets, length 3.00 inches and width 2.00 inches, you would need to make a straight line from the wall in your dorm room to the door which is 30.0 feet away from the wall? 
A. 50
B. 80
C. 120
D. 180
E. 200

Bauer - Chapter 01 #7
Section: 01.03
less difficult
 
9. A farmer has a field which is 0.50 km in length and 0.70 km in width. What is the area of his field? 
A. 0.35 km2
B. 3.5 km2
C. 35 km2
D. 3.5  102 km2

Bauer - Chapter 01 #8
Section: 01.03
less difficult

 
10. A vector   with magnitude 25.0 m points along the positive y direction. If it is rotated by 50.0 degrees counterclockwise, what are the components of the vector? 
A. Ax = 25.0 cos 50.0 and Ay = 25.0 sin 50.0
B. Ax = 25.0 cos 140 and Ay = 25.0 sin 140
C. Ax = 25.0 sin 140 and Ay = 25.0 cos 140
D. Ax = 25.0 tan 50.0 and Ay = 25.0 sin 50.0

Bauer - Chapter 01 #9
Section: 01.06
less difficult
 
11.  A vector  with magnitude 25.0 m points along the positive x direction. If it is rotated by 50.0 degrees counterclockwise, what are the components of the vector?  
A.  Ax = 25.0 sin 50.0 and Ay = 25.0 cos 50.0 
B.  Ax = 25.0 cos 50.0 and Ay = 25.0 sin 50.0 
C.  Ax = 25.0 sin 310 and Ay = 25.0 cos 310 
D.  Ax = 25.0 cos 310 and Ay = 25.0 sin 310 

Bauer - Chapter 01 #9
Section: 01.06
less difficult
 
12.  A vector  with magnitude 25.0 m points along the negative x direction. If it is rotated by 50.0 degrees counterclockwise, what are the components of the vector?  
A.  Ax = 25.0 cos 50.0 and Ay = 25.0 sin 50.0 
B.  Ax = 25.0 sin 50.0 and Ay = 25.0 cos 50.0 
C.  Ax = 25.0 sin 230 and Ay = 25.0 cos 230 
D.  Ax = 25.0 cos 230 and Ay = 25.0 sin 230 

Bauer - Chapter 01 #9
Section: 01.06
less difficult

 
13.  A vector  with magnitude 25.0 m points along the negative y direction. If it is rotated by 50.0 degrees counterclockwise, what are the components of the vector?  
A.  Ax = 25.0 sin 320 and Ay = 25.0 cos 320 
B.  Ax = 25.0 sin 50.0 and Ay = 25.0 cos 50.0 
C.  Ax = 25.0 cos 50.0 and Ay = 25.0 sin 50.0 
D.  Ax = 25.0 cos 320 and Ay = 25.0 sin 320 

Bauer - Chapter 01 #9
Section: 01.06
less difficult
 
14.  What is the magnitude of the vector   ?  
A.  2.0 
B.  6.0034 
C.  7.2 
D.  10 
E.  24 

Bauer - Chapter 01 #10
Section: 01.06
less difficult
 
15. The volume of a rectangular block of width w = 116.5 cm, depth d = 164.8 cm, and height h = 105.1 cm is (given in scientific notation and with the correct number of significant figures): 
A. 2.018  106 cm3
B. 2.02  106 cm3
C. 2.0178  106 cm3
D. 2.0  106 cm3
E. 2.01784  106 cm3

Bauer - Chapter 01 #11
Section: 01.02
less difficult

 
16. The surface area of a window pane of length 20.5 cm and width 11.9 cm is (given in scientific notation and with the correct number of significant figures): 
A. 2.4395  102 cm2
B. 2.440  102 cm2
C. 2.44  102 cm2
D. 2.4  102 cm2
E. 2.0  102 cm2

Bauer - Chapter 01 #12
Section: 01.03
less difficult
 
17. Assume that the mass of any cell in the human body is 5  10-15 kg. If Alice has a mass of 50 kg how many cells are there in her body? 
A. 1017 cells
B. 1016 cells
C. 1015 cells
D. 1014 cells
E. 1013 cells

Bauer - Chapter 01 #13
Section: 01.04
less difficult

 
18.  A car's gasoline tank has the shape of a right rectangular box having a square base of side 62 cm. Its capacity is 56 liters. If there are 50 liters of gasoline in the tank, what is the distance between the top of the tank and the gasoline surface in the tank? Assume the car is parked on level ground.  
A.  14.6 cm 
B.  13.0 cm 
C.  22.5 cm 
D.  1.56 cm 
E.  33.5 cm 

Bauer - Chapter 01 #14
Section: 01.05
more difficult
 
19.  A car's gasoline tank has the shape of a right rectangular box having a square base of side 65 cm. Its capacity is 68 liters. If the distance between the top of the tank and the gasoline surface in the tank is 5.60 cm, what volume of gasoline is in the tank? Assume the car is parked on level ground.  
A.  30.6 liters 
B.  23.0 liters 
C.  44.4 liters 
D.  62.1 liters 
E.  57.8 liters 

Bauer - Chapter 01 #14
Section: 01.05
more difficult

 
20.  A car's gasoline tank has the shape of a right rectangular box and has a square base. Its capacity is 61.0 liters. If there are 45.0 liters of gasoline in the tank and the distance between the top of the tank and the gasoline surface in the tank is 4.30 cm, what is the length of one side of the tank's square base?  Assume the car is parked on level ground.  
A.  3.72 cm 
B.  102 cm 
C.  61.0 cm 
D.  119 cm 
E.  14.2 cm 

Bauer - Chapter 01 #14
Section: 01.05
more difficult
 
21.  Three vectors are all in the same plane, they have equal magnitudes and make 120 angles with each other. We can say that  
A.  the magnitude of their resultant is three times the magnitude of each component vector. 
B.  the magnitude of their resultant is more than three times the magnitude of each component vector. 
C.  the magnitude of their resultant is one-third the magnitude of the component vectors. 
D.  the magnitude of their resultant is zero. 
E.  the magnitude of their resultant is equal to the magnitude of the component vectors. 

Bauer - Chapter 01 #15
Section: 01.06
more difficult

 
22.  The answer with the correct number of significant figures to the following calculation: 1.345  6.72 + 4.51 is  
A.  13.5484. 
B.  13.548. 
C.  13.55. 
D.  13.6. 
E.  14 

Bauer - Chapter 01 #16
Section: 01.02
less difficult
 
23. The distance to the Sun is one hundred fifty billion meters, which in scientific notation can be written as 
A. 150  109 m.
B. 1.50  106 m.
C. 1.50  1011 m.
D. 15  1010 m.
E. 1.5  1010 m.

Bauer - Chapter 01 #17
Section: 01.02
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24. The number of centimeters in 2.50 miles is 
A. 4.02  105 cm.
B. 1.56  105 cm.
C. 4.02  103 cm.
D. 2.54  104 cm.
E. 8.95  106 cm.

Bauer - Chapter 01 #18
Section: 01.03
less difficult
 
25. The number of square meters in a square mile is 
A. 2.60 m2.
B. 2.60  105 m2.
C. 1.61  103 m2.
D. 2.60  106 m2.
E. 1.61  106 m2.

Bauer - Chapter 01 #19
Section: 01.03
less difficult
 
26. The radius of the Earth is 6.38  106 m. The Earth's radius in miles is 
A. 27000 miles.
B. 10200 miles.
C. 24900 miles.
D. 7940 miles.
E. 3970 miles.

Bauer - Chapter 01 #20
Section: 01.04
less difficult

 
27. What is the volume of a box that has dimensions 3.50 cm  1.000 cm  4.000 cm? 
A. 49.0 cm
B. 14 cm3
C. 14.0 cm3
D. 14.00 cm3

Bauer - Chapter 01 #21
Section: 01.02
less difficult
 
28. If A = 17.0079, B = 2.05, and C = 3.1415926, then what is A/B + C? 
A. 11.
B. 11.4
C. 11.44
D. 11.438

Bauer - Chapter 01 #22
Section: 01.02
less difficult
 
29. What is the magnitude and direction (with respect to the positive x axis) of the vector   ? 
A. 4.61 @ 36.7
B. 4.6 @ -37
C. 4.6 @ 37
D. 4.6 @ 143

Bauer - Chapter 01 #23
Section: 01.06
less difficult

 
30. An American football receiver starts at the 20 yard-line, 15 yards to the right of the quarterback. He runs 10 yards forward and then turns to the right and runs 10 yards before catching the ball thrown by the quarterback. If the quarterback is standing on the 15yard-line, how far must he throw the ball? 
A. 16 yards
B. 29 yards
C. 31 yards
D. 40 yards

Bauer - Chapter 01 #24
Section: 01.06
more difficult
 
31. If you head at a compass heading of 15 for 25 m, then go on a heading of 280 for 18 m, how far are you from your starting point? 
A. 15 m
B. 29 m
C. 32 m
D. 38 m

Bauer - Chapter 01 #25
Section: 01.06
more difficult
 
32. Given that the formula for Newtonian gravitation is F = Gm1m2/r2, where F is the force, m1 and m2 are masses, and r is a unit of length, what are the units for the gravitational constant G? 
A. kg3/(ms2)
B. (m/kg)(m/s)2
C. kg m/s2
D. kg2/m2

Bauer - Chapter 01 #26
Section: 01.03
less difficult

 
33. Given two vectors,   and   :

What is the magnitude of the vector   ? 
A. 15.3
B. 17.6
C. 18.8
D. 19.0
E. 20.0

Bauer - Chapter 01 #27
Section: 01.06
less difficult
 
34. What are the polar coordinates of the vector 3i-2j? 
A. (3.6; 33.7)
B. (3.6; 146.3)
C. (4.2; 33.7)
D. (4.2; -33.7)
E. (3.6; -33.7)

Bauer - Chapter 01 #28
Section: 01.06
less difficult

 
35. Express the polar vector (22; 124) in unit vector notation. 
A. 18.2i - 12.3j
B. -12.3i + 18.2j
C. 12.3i - 18.2j
D. 12.3i + 18.2j
E. -18.2i + 12.3j

Bauer - Chapter 01 #29
Section: 01.06
less difficult
 
36. What is the sum of the polar vectors (13; 65) and (21; 135)? 
A. (21.5; 23.3)
B. (28.2; 109.4)
C. (14.3; 43.2)
D. (25.4; -24.3)
E. (12.2; 124.2)

Bauer - Chapter 01 #30
Section: 01.06
more difficult
 
37. A spherical balloon has a radius of 20 cm. It starts losing air and its radius shrinks at a rate of 1 cm/s. What is the rate of change of the balloon's volume when its radius reaches 5 cm? 
A. -3.14  10-4 m3/s
B. -3.14 m3/s
C. -1  10-4 m3/s
D. -5  10-4 m3/s
E. -3.14  10-2 m3/s

Bauer - Chapter 01 #31
Section: 01.05
more difficult

 
38.  If vector  and vector  , where  and  are the units vectors along the x and the y directions respectively, calculate the magnitude of vector  .  
A.  10.3 
B.  17.4 
C.  -6.7 
D.  26 
E.  -12.3 

Bauer - Chapter 01 #32
Section: 01.06
less difficult
 
39. A man walks 15 m due east, then makes a sharp left turn and walks 23 m due north and then climbs up a vertical ladder to the top of 6 m high structure. Calculate the total displacement of the man. 
A. 36 m
B. 44 m
C. 28 m
D. 33 m
E. None are correct.

Bauer - Chapter 01 #33
Section: 01.06
more difficult

 
40.  If vector    and vector   , where  and  are the units vectors along the x and the y directions respectively. If , calculate the angle vector  makes with respect to the +x axes.  
A.  -84º 
B.  -96º 
C.  84º 
D.  96º 
E.  -6º 

Bauer - Chapter 01 #34
Section: 01.06
less difficult
 
41. Square A has sides of 5.6 cm. Square B has sides of twice as long as square A. What is area of square B? 
A. 130  10-2 m2
B. 125  10-2 m2
C. 1.25  10-2 m2
D. 1  10-2 m2
E. 1.3  10-2 m2

Bauer - Chapter 01 #35
Section: 01.04
less difficult

 
42. A CD that is 0.75 mm thick has outer diameter of 128 mm and inner diameter of 15 mm. The volume of the CD is 
A. 1920 mm3.
B. 5300 mm3.
C. 9520 mm3.
D. 38079 mm3.

Bauer - Chapter 01 #36
Section: 01.05
less difficult
 
43. Kobe Bryant of the LAL (LA Lakers) is 6'6" tall. His height in meters is 
A. 6.2 m.
B. 3.5 m.
C. 2.9 m.
D. 1.98 m.

Bauer - Chapter 01 #37
Section: 01.02
less difficult
 
44. The fraction of a kilogram in a milligram is 
A. 10-6.
B. 10-4.
C. 10-3.
D. 10-2.

Bauer - Chapter 01 #38
Section: 01.03
less difficult

 
45.  The fraction of a cubic kilometer in a cubic millimeter is  
A.  10-12. 
B.  10-6. 
C.  10-9. 
D.  10-18. 

Bauer - Chapter 01 #38
Section: 01.02
less difficult
 
46.  The fraction of a square kilometer in a square millimeter is  
A.  10-12. 
B.  10-9. 
C.  10-3. 
D.  10-6. 

Bauer - Chapter 01 #38
Section: 01.03
less difficult
 
47. The solution of (3.75  10-9) - (6.21 10-10) in scientific notation is 
A. 1.92  10-9.
B. 3.13  10-9.
C. 4.83  10-10.
D. 3.74  10-9.

Bauer - Chapter 01 #39
Section: 01.03
less difficult

 
48. Given two vectors   and vector  , that also lies in the xy plane, have the property A = B but   . The vector   is 
A. .
B. .
C. .
D. All are correct.

Bauer - Chapter 01 #40
Section: 01.06
more difficult
 
49. 27500 people live in the Duchy of Grand Fenwick, which has a land area of a square 5.8 km on each side. How many people live there per square km? 
A. 820
B. 817
C. 810
D. 809

Bauer - Chapter 01 #41
Section: 01.02
less difficult
 
50. The speed limit on your street is 35 mi/hr. What is this speed in m/s? 
A. 16 m/s
B. 22 m/s
C. 56 m/s
D. 78 m/s

Bauer - Chapter 01 #42
Section: 01.04
less difficult

 
51. What is the ratio of the Earth's density to that of Venus? Their radii are 6378 km and 6051 km, and their masses 5.97  1024 kg and 4.87  1024 kg, respectively. 
A. 0.96
B. 1.05
C. 1.16
D. 1.44

Bauer - Chapter 01 #43
Section: 01.05
less difficult
 
52. What is the sum of the lengths of all the edges of a cube whose volume is 3.97 m3? 
A. 4.53 m
B. 9.50 m
C. 12.67 m
D. 19.00 m

Bauer - Chapter 01 #44
Section: 01.05
less difficult
 
53. Vector   has length 15.2 m and is directed along the x-axis. Vector   has length 23.0 m and is directed along the y-axis. Vector   has length 6.3 m and is directed along the -y axis. What is the length of the vector  ? 
A. 18.4 m
B. 22.4 m
C. 24.7 m
D. 28.3 m
E. 33.0 m

Bauer - Chapter 01 #45
Section: 01.06
less difficult

 
54. The sides of a rectangle are measured to have lengths 0.234 cm and 12.78 cm. Find the area of the rectangle using the correct number of significant figures. 
A. 2.99052 cm2
B. 2.9905 cm2
C. 2.991 cm2
D. 2.990 cm2
E. 2.99 cm2

Bauer - Chapter 01 #46
Section: 01.02
less difficult
 
55. A bicycle tire is inflated to a pressure of 93 psi. What is a pressure of 93 psi in the SI unit pascals (Pa)? 
A. 6.4  101 Pa
B. 1.6  102 Pa
C. 1.6  104 Pa
D. 3.2  104 Pa
E. 6.4  105 Pa

Bauer - Chapter 01 #47
Section: 01.03
less difficult

 
56. A cube with a volume of V consists of 6 faces each with an area of A. If the area of each face is increased by a factor of 64, by what factor does the volume increase? 
A. 8
B. 64
C. 384
D. 512
E. 4096

Bauer - Chapter 01 #48
Section: 01.04
less difficult
 
57. A string with a length of 13.1 m is tightly tied between two trees. The second tree is some distance east and north of the first tree. If the second tree is 9.8 m east of the first tree, how far north of the first tree is the second tree? 
A. 3.3 m
B. 6.6 m
C. 8.7 m
D. 11.5 m
E. 22.9 m

Bauer - Chapter 01 #49
Section: 01.06
more difficult

 
58. The vector   = (Ax , Ay) = ( +7.07 m, +7.07 m) and the vector   = (Bx , By) = ( +5.00 m, +8.66 m). What is the magnitude of the angle between the vectors   and   ? 
A. 15
B. 30
C. 45
D. 60
E. 75

Bauer - Chapter 01 #50
Section: 01.06
more difficult
 
59. The width of the nail of you thumb is approximately equal to which of the following units: 
A. 1 m.
B. 1 mm.
C. 1 cm.
D. 1 m.
E. 1 km.

Bauer - Chapter 01 #51
Section: 01.03
less difficult

 
60.  A driver from Canada enters the U.S. The posted speed limit is 45 mph.  What is this posted speed limit in km/h?  
A.  31 
B.  45 
C.  53 
D.  67 
E.  72 

Bauer - Chapter 01 #52
Section: 01.03
less difficult
 
61. A gardener wants to build a circular fence around his vegetable garden. If he has 100 feet (1 ft = 0.3048 m) of wire, what is the maximum area covered? 
A. 0.0000739 km2
B. 0.002342 km2
C. 23.4 km2
D. 75.2 km2
E. 81.99 km2

Bauer - Chapter 01 #53
Section: 01.03
more difficult

 
62. A right cylinder has a cross sectional area of 25.0 cm2 and a height of 50.0 cm. What is the volume of the cylinder in SI units? 
A. 0.000125 m3
B. 0.00125 m3
C. 0.0125 m3
D. 0.125 m3
E. 1.250 m3

Bauer - Chapter 01 #54
Section: 01.05
less difficult
 
63.  Vector  has a length of 5 and an angle of 30 with respect to the positive x-axis. Vector  has a length of 5 and an angle of 150 with respect to the positive x-axis. What is the angle with respect to the positive x-axis for the vector  ?  
A.  90 
B.  0 
C.  135 
D.  180 
E.  30 

Bauer - Chapter 01 #55
Section: 01.06
less difficult

 
64.  Vector  has a length of 5 and an angle of 30 with respect to the positive x-axis. Vector  has a length of 5 and an angle of 150 with respect to the positive x-axis. What is the angle with respect to the positive x-axis for the vector  ?  
A.  90 
B.  180 
C.  135 
D.  30 
E.  0 

Bauer - Chapter 01 #55
Section: 01.06
less difficult
 
65.  Vector  points along the y axis with length 5.0, vector  makes an angle of 55 with respect to the x-axis and has a length of 7.0. What is the length of vector ?
     
A.  4.1 
B.  12. 
C.  2.0 
D.  35. 
E.  9.9 

Bauer - Chapter 01 #56
Section: 01.06
less difficult

 
66.  Vector   points along the y axis with length 5.0, vector  makes an angle of 55 with respect to the x-axis and has a length of 7.0. What is the length of vector ?
     
A.  8.6 
B.  15. 
C.  11. 
D.  12. 
E.  9.3 

Bauer - Chapter 01 #56
Section: 01.06
less difficult