,
,
,Name: Class: Date:
Chapter 01 12e Serway
17. If the displacement of an object, x, is related to velocity, v, according to the relation x = Av, the constant, A, has
the dimension of which of the following?
a. acceleration
b. length
c. time
d. area
18. The mass of a star is 8.0 × 1030 kg, and the mass of a hydrogen atom is 1.67 × 10−27 kg. If we assume that the
star is mostly composed of hydrogen, approximately how many atoms are there in the star?
a. 1.3E+4 atoms
b. 2.1E–58 atoms
c. 4.8E+57 atoms
d. 8.0E+30 atoms
19. A cement truck can pour 160 cubic yards of cement per hour. Express this in ft3/min.
a. 480 ft3/min
b. 2.67 ft3/min
c. 24.0 ft3/min
d. 8.00 ft3/min
e. 72.0 ft3/min
20. A student adds two vectors with magnitudes of 200 and 70. Which one of the following is the only possible
choice for the magnitude of their sum?
a. 100
b. 280
c. 200
d. 70
21. Calculate (0.83 + 0.049)(4.4 × 103), keeping only significant figures.
a. 3 900
b. 3 868
c. 3 886
d. 4 000
22. An airplane takes off due west at an angle of 16.0° with the horizontal. When the airplane is at a vertical height
of 400 ft, what is its displacement vector? Let east be the +x direction and +z be upwards.
a. (385 + 400 ) ft
b. (–110 – 400 ) ft
c. (717 – 400 ) ft
d. (–1 390 + 400 ) ft
Page 4
,Name: Class: Date:
Chapter 01 12e Serway
23. Note the expression: y = x2. Which statement is most consistent with this expression?
a. If y doubles, then x quadruples.
b. y is greater than x.
c. If x doubles, then y doubles.
d. If x doubles, then y quadruples.
24. An apartment has 1 100 ft2 of floor space. What is the approximate volume of the apartment?
a. 102 ft3
b. 103 ft3
c. 104 ft3
d. 105 ft3
e. 106 ft3
25. There are other ways of expressing uncertainty besides significant figures. For example, suppose a quantity is
known to have a value between 20.4 and 20.0, and our best estimate of the value is midrange at 20.2. We could
write the number as 20.2 +/− 0.2 and say that the number has a 1% uncertainty. We would also say it has 3
significant figures. If we square a number with 1% uncertainty (i.e., 2 parts in about 200) and 3 significant
figures, what results?
a. A number with 1% uncertainty and 3 significant figures.
b. A number with 2% uncertainty and 3 significant figures.
c. A number with 2% uncertainty and 2 significant figures.
d. A number with 1% uncertainty and 2 significant figures.
26. The number 0.03 has how many significant figures?
a. 2
b. 3
c. 5
d. 6
e. 7
27. In mechanics, physicists use three basic quantities to derive additional quantities. Mass is one of the three
quantities. What are the other two?
a. length and force
b. power and force
c. length and time
d. force and time
Page 5
,Name: Class: Date:
Chapter 01 12e Serway
28. If θ and φ are each first quadrant angles, which of the following must be true if sin θ = cos φ?
a. θ + φ = π rad
b. θ + φ = 90°
c. θ – φ = π/2 rad
d. θ = φ
29. When NASA was communicating with astronauts on the Moon, the time from sending on the Earth to receiving
on the Moon was 1.28 s. Find the distance from Earth to the Moon. (The speed of radio waves is 3.00 × 108
m/s.)
a. 240 000 km
b. 384 000 km
c. 480 000 km
d. 768 000 km
30. Which formula is dimensionally consistent with an expression yielding a value for velocity? (a is acceleration, x is
distance, and t is time)
a. v/t2
b. vx2
c. v2/t
d. at
31. Note the expression: y = A/x3. Which statement is most consistent with this expression?
a. y is less than A.
b. If x is halved, y is multiplied by eight.
c. If x is doubled, y is multiplied by a factor of 8.
d. y is greater than x.
32. Vector is 3.0 units in length and points along the positive x axis; vector is 5.0 units in length and points along
a direction 150° from the positive x axis. What is the magnitude of the resulting vector when vectors and
are added?
a. 7.0
b. 6.7
c. 2.8
d. 2.1
Page 6
,Name: Class: Date:
Chapter 01 12e Serway
33. The prefixes which are abbreviated f, d, and T represent which of the following?
a. 10–30, 10–2, and 1024
b. 10–15, 102, and 1024
c. 10–15, 10–1, and 1012
d. 10–13, 102, and 1024
e. 10–30, 10–1, and 10–2
34. Vector is 5 m long and vector is 12 m long. The length of the sum of the vectors must be:
a. some value from 7 m to 17 m.
b. 13 m.
c. 17 m.
d. 8 m.
35. A city uses 6.8 × 109 gallons of water every day. How many gallons per minute must be pumped from the
reservoir to meet the city's water needs?
a. 4.7E+6
b. 7.9E+4
c. 2.8E+8
d. 6.8E+9
36. Which of the following is not a vector quantity?
a. mass
b. acceleration
c. displacement
d. velocity
37. Two ships set sail from the same port. Ship A sails a distance of 35.0 kilometers in a direction 30.0° north of east,
and drops anchor. Ship B sails due south. When ship B is 30.0 km from the port, how far apart are the ships?
a. 46.1 km
b. 56.3 km
c. 65.0 km
d. 75.9 km
38. Consider the sine of any angle between 30° and 40°. If the angle were doubled, what would happen to the sine of
the angle?
a. It would double.
b. It would more than double.
c. It would increase but be less than double.
d. In different cases, it could do any of the above.
Page 7
,Name: Class: Date:
Chapter 01 12e Serway
39. How long has it been that scientists have accepted that the nucleus of the atom consists of neutrons and protons?
Think of your answers in terms of order of magnitude.
a. about a decade
b. about a century
c. about a thousand years
d. since Aristotle
40. If ϕ = 90° − θ, what is the value of sin2 ϕ + sin2 θ?
a. 0
b. 1
c. −1
d. The answer depends on θ.
41. A surveyor stands 100 m from the base of a building, and uses a transit to determine that the angle of elevation to
the building’s roof is 19.0°. If the transit height is 0.80 m, what is the height of the building?
a. 94.6 m
b. 95.4 m
c. 35.2 m
d. 34.4 m
42. How many significant figures does the number 3 600 have?
a. 1
b. 2
c. 3
d. 4
e. One cannot tell with certainty when the number is written in the given form, but it will be one of the other
given answers.
43. A room in a house has a floor area of 110 ft2. Which of the following is most likely the approximate volume of
the room?
a. 3 m3
b. 30 m3
c. 300 m3
d. 3 000 m3
e. 10 m3
Page 8
,Name: Class: Date:
Chapter 01 12e Serway
44. Which one of the choices below represents the preferred practice regarding significant figures when multiplying
the following: 15.0 × 5.6 × 2.33?
a. 200
b. 195.720
c. 195.72
d. 195.7
e. 196
45. The length and width of a standard sheet of paper is measured, and then the area is found by calculation to be
91.50 in.2. The number of significant figures in the width measurement must be at least
a. 1.
b. 2.
c. 3.
d. 4.
e. 5.
46. A rectangular-shaped patio has a base length equal to (24.5 ± 0.2) m and a height equal to (9.3 ± 0.1) m. What is
the area of the patio, including its uncertainty?
a. 228 ± 4
b. 228 ± 2
c. 228 ± 23
d. 228 ± 6
47. The speed of a boat is often given in knots. If a speed of 5 knots were expressed in the SI system of units, the
units would be:
a. m.
b. s.
c. m/s.
d. kg/s.
48. Vector is 3.00 units in length and points along the positive x axis; vector is 5.00 units in length and points
along a direction 150° from the positive x axis. What is the direction of their sum with respect to the positive x
axis?
a. 62.0°
b. 13.0°
c. 118°
d. 103°
Copyright Cengage Learning. Powered by Cognero. Page 9
, Name: Class: Date:
Chapter 01 12e Serway
49. Vector points north, and vector points east. If = − , then vector points
a. north of east.
b. south of east.
c. north of west.
d. south of west.
50. Which one of the choices below represents the preferred practice regarding significant figures when adding the
following: 15.9 + 14 + 77.68 + 6.898?
a. 114.4780
b. 114.478
c. 114.48
d. 114.5
e. 114
51. Consider the cosine of any angle between 35° and 40°. If the angle were doubled, what would happen to the
cosine of the angle.
a. It would halve.
b. It would decrease to less than half its original value.
c. It would decrease but be more than half its original value.
d. In different cases, it could do any of the above.
52. Modern electroplaters can cover a surface area of 75.0 m2 with one troy ounce of gold (volume = 1.611 cm3).
What is the thickness of the electroplated gold?
a. 2.15E–8 m
b. 1.07E–8 m
c. 1.43E–8 m
d. 4.30E–8 m
e. None of the above
53. Areas always have dimensions ____ while volumes always have dimensions ____.
a. m2, m3
b. L2, L3
c. Both a and b are correct.
d. No answer is correct because of the "always."
54. What is the distance between the two polar coordinates (2.0, 30°) and (9.0, 145°)?
a. 6.0
b. 10.0
c. 9.8
d. 9.2
Page 10
,
,Name: Class: Date:
Chapter 01 12e Serway
17. If the displacement of an object, x, is related to velocity, v, according to the relation x = Av, the constant, A, has
the dimension of which of the following?
a. acceleration
b. length
c. time
d. area
18. The mass of a star is 8.0 × 1030 kg, and the mass of a hydrogen atom is 1.67 × 10−27 kg. If we assume that the
star is mostly composed of hydrogen, approximately how many atoms are there in the star?
a. 1.3E+4 atoms
b. 2.1E–58 atoms
c. 4.8E+57 atoms
d. 8.0E+30 atoms
19. A cement truck can pour 160 cubic yards of cement per hour. Express this in ft3/min.
a. 480 ft3/min
b. 2.67 ft3/min
c. 24.0 ft3/min
d. 8.00 ft3/min
e. 72.0 ft3/min
20. A student adds two vectors with magnitudes of 200 and 70. Which one of the following is the only possible
choice for the magnitude of their sum?
a. 100
b. 280
c. 200
d. 70
21. Calculate (0.83 + 0.049)(4.4 × 103), keeping only significant figures.
a. 3 900
b. 3 868
c. 3 886
d. 4 000
22. An airplane takes off due west at an angle of 16.0° with the horizontal. When the airplane is at a vertical height
of 400 ft, what is its displacement vector? Let east be the +x direction and +z be upwards.
a. (385 + 400 ) ft
b. (–110 – 400 ) ft
c. (717 – 400 ) ft
d. (–1 390 + 400 ) ft
Page 4
,Name: Class: Date:
Chapter 01 12e Serway
23. Note the expression: y = x2. Which statement is most consistent with this expression?
a. If y doubles, then x quadruples.
b. y is greater than x.
c. If x doubles, then y doubles.
d. If x doubles, then y quadruples.
24. An apartment has 1 100 ft2 of floor space. What is the approximate volume of the apartment?
a. 102 ft3
b. 103 ft3
c. 104 ft3
d. 105 ft3
e. 106 ft3
25. There are other ways of expressing uncertainty besides significant figures. For example, suppose a quantity is
known to have a value between 20.4 and 20.0, and our best estimate of the value is midrange at 20.2. We could
write the number as 20.2 +/− 0.2 and say that the number has a 1% uncertainty. We would also say it has 3
significant figures. If we square a number with 1% uncertainty (i.e., 2 parts in about 200) and 3 significant
figures, what results?
a. A number with 1% uncertainty and 3 significant figures.
b. A number with 2% uncertainty and 3 significant figures.
c. A number with 2% uncertainty and 2 significant figures.
d. A number with 1% uncertainty and 2 significant figures.
26. The number 0.03 has how many significant figures?
a. 2
b. 3
c. 5
d. 6
e. 7
27. In mechanics, physicists use three basic quantities to derive additional quantities. Mass is one of the three
quantities. What are the other two?
a. length and force
b. power and force
c. length and time
d. force and time
Page 5
,Name: Class: Date:
Chapter 01 12e Serway
28. If θ and φ are each first quadrant angles, which of the following must be true if sin θ = cos φ?
a. θ + φ = π rad
b. θ + φ = 90°
c. θ – φ = π/2 rad
d. θ = φ
29. When NASA was communicating with astronauts on the Moon, the time from sending on the Earth to receiving
on the Moon was 1.28 s. Find the distance from Earth to the Moon. (The speed of radio waves is 3.00 × 108
m/s.)
a. 240 000 km
b. 384 000 km
c. 480 000 km
d. 768 000 km
30. Which formula is dimensionally consistent with an expression yielding a value for velocity? (a is acceleration, x is
distance, and t is time)
a. v/t2
b. vx2
c. v2/t
d. at
31. Note the expression: y = A/x3. Which statement is most consistent with this expression?
a. y is less than A.
b. If x is halved, y is multiplied by eight.
c. If x is doubled, y is multiplied by a factor of 8.
d. y is greater than x.
32. Vector is 3.0 units in length and points along the positive x axis; vector is 5.0 units in length and points along
a direction 150° from the positive x axis. What is the magnitude of the resulting vector when vectors and
are added?
a. 7.0
b. 6.7
c. 2.8
d. 2.1
Page 6
,Name: Class: Date:
Chapter 01 12e Serway
33. The prefixes which are abbreviated f, d, and T represent which of the following?
a. 10–30, 10–2, and 1024
b. 10–15, 102, and 1024
c. 10–15, 10–1, and 1012
d. 10–13, 102, and 1024
e. 10–30, 10–1, and 10–2
34. Vector is 5 m long and vector is 12 m long. The length of the sum of the vectors must be:
a. some value from 7 m to 17 m.
b. 13 m.
c. 17 m.
d. 8 m.
35. A city uses 6.8 × 109 gallons of water every day. How many gallons per minute must be pumped from the
reservoir to meet the city's water needs?
a. 4.7E+6
b. 7.9E+4
c. 2.8E+8
d. 6.8E+9
36. Which of the following is not a vector quantity?
a. mass
b. acceleration
c. displacement
d. velocity
37. Two ships set sail from the same port. Ship A sails a distance of 35.0 kilometers in a direction 30.0° north of east,
and drops anchor. Ship B sails due south. When ship B is 30.0 km from the port, how far apart are the ships?
a. 46.1 km
b. 56.3 km
c. 65.0 km
d. 75.9 km
38. Consider the sine of any angle between 30° and 40°. If the angle were doubled, what would happen to the sine of
the angle?
a. It would double.
b. It would more than double.
c. It would increase but be less than double.
d. In different cases, it could do any of the above.
Page 7
,Name: Class: Date:
Chapter 01 12e Serway
39. How long has it been that scientists have accepted that the nucleus of the atom consists of neutrons and protons?
Think of your answers in terms of order of magnitude.
a. about a decade
b. about a century
c. about a thousand years
d. since Aristotle
40. If ϕ = 90° − θ, what is the value of sin2 ϕ + sin2 θ?
a. 0
b. 1
c. −1
d. The answer depends on θ.
41. A surveyor stands 100 m from the base of a building, and uses a transit to determine that the angle of elevation to
the building’s roof is 19.0°. If the transit height is 0.80 m, what is the height of the building?
a. 94.6 m
b. 95.4 m
c. 35.2 m
d. 34.4 m
42. How many significant figures does the number 3 600 have?
a. 1
b. 2
c. 3
d. 4
e. One cannot tell with certainty when the number is written in the given form, but it will be one of the other
given answers.
43. A room in a house has a floor area of 110 ft2. Which of the following is most likely the approximate volume of
the room?
a. 3 m3
b. 30 m3
c. 300 m3
d. 3 000 m3
e. 10 m3
Page 8
,Name: Class: Date:
Chapter 01 12e Serway
44. Which one of the choices below represents the preferred practice regarding significant figures when multiplying
the following: 15.0 × 5.6 × 2.33?
a. 200
b. 195.720
c. 195.72
d. 195.7
e. 196
45. The length and width of a standard sheet of paper is measured, and then the area is found by calculation to be
91.50 in.2. The number of significant figures in the width measurement must be at least
a. 1.
b. 2.
c. 3.
d. 4.
e. 5.
46. A rectangular-shaped patio has a base length equal to (24.5 ± 0.2) m and a height equal to (9.3 ± 0.1) m. What is
the area of the patio, including its uncertainty?
a. 228 ± 4
b. 228 ± 2
c. 228 ± 23
d. 228 ± 6
47. The speed of a boat is often given in knots. If a speed of 5 knots were expressed in the SI system of units, the
units would be:
a. m.
b. s.
c. m/s.
d. kg/s.
48. Vector is 3.00 units in length and points along the positive x axis; vector is 5.00 units in length and points
along a direction 150° from the positive x axis. What is the direction of their sum with respect to the positive x
axis?
a. 62.0°
b. 13.0°
c. 118°
d. 103°
Copyright Cengage Learning. Powered by Cognero. Page 9
, Name: Class: Date:
Chapter 01 12e Serway
49. Vector points north, and vector points east. If = − , then vector points
a. north of east.
b. south of east.
c. north of west.
d. south of west.
50. Which one of the choices below represents the preferred practice regarding significant figures when adding the
following: 15.9 + 14 + 77.68 + 6.898?
a. 114.4780
b. 114.478
c. 114.48
d. 114.5
e. 114
51. Consider the cosine of any angle between 35° and 40°. If the angle were doubled, what would happen to the
cosine of the angle.
a. It would halve.
b. It would decrease to less than half its original value.
c. It would decrease but be more than half its original value.
d. In different cases, it could do any of the above.
52. Modern electroplaters can cover a surface area of 75.0 m2 with one troy ounce of gold (volume = 1.611 cm3).
What is the thickness of the electroplated gold?
a. 2.15E–8 m
b. 1.07E–8 m
c. 1.43E–8 m
d. 4.30E–8 m
e. None of the above
53. Areas always have dimensions ____ while volumes always have dimensions ____.
a. m2, m3
b. L2, L3
c. Both a and b are correct.
d. No answer is correct because of the "always."
54. What is the distance between the two polar coordinates (2.0, 30°) and (9.0, 145°)?
a. 6.0
b. 10.0
c. 9.8
d. 9.2
Page 10
