Test Bank For Principles of Physics: A Calculus-Based Text
Chapter 1—Introduction and Vectors
Chapter 1—Introduction and Vectors
MULTIPLE CHOICE
1. The density of an object is defined as:
a. the volume occupied by each unit of mass.
b. the amount of mass for each unit of volume.
c. the weight of each unit of volume.
d. the amount of the substance that has unit volume and unit mass.
e. the amount of the substance that contains as many particles as 12 grams of the carbon-12
isotope.
ANS: B PTS: 1 DIF: Easy
2. Find the average density of a red giant star with a mass of 20 1030 kg (approximately 10 solar
masses) and a radius of 150 109 m (equal to the Earth's distance from the sun).
a. 1.41 10−4 kg/m3
b. 0.007 kg/m3
c. 1.41 kg/m3
d. 710 kg/m3
e. 1.41 10−3 kg/m3
ANS: E PTS: 2 DIF: Average
3. Find the average density of a white dwarf star if it has a mass equal to that of the sun (2.0 1030 kg)
and a radius equal to that of the Earth (6.4 106 m).
a. 9.0 106 kg/m3
b. 1.8 107 kg/m3
c. 1.8 109 kg/m3
d. 3.6 1010 kg/m3
e. 9.0 107 kg/m3
ANS: C PTS: 2 DIF: Average
4. The term occurs in Bernoulli's equation in Chapter 15, with being the density of a fluid and v
its speed. The dimensions of this term are
a. M−1L5T2
b. MLT2
c. ML−1T−2
d. M−1L9T−2
e. M−1L3T−2
ANS: C PTS: 2 DIF: Average
1
,Test Bank For Principles of Physics: A Calculus-Based Text
Chapter 1—Introduction and Vectors
5. Which of the following quantities has the same dimensions as kinetic energy, ?
Note: [a] = [g] = LT−2; [h] = L and [v] = LT−1.
a. ma
b. mvx
c. mvt
d. mgh
e. mgt
ANS: D PTS: 2 DIF: Average
6. The quantity with the same units as force times time, Ft, with dimensions MLT−1 is
a. mv
b. mvr
c. mv2r
d. ma
e.
ANS: A PTS: 2 DIF: Average
7. The equation for the change of position of a train starting at x = 0 m is given by . The
dimensions of b are
a. T−3
b. LT−3
c. LT−2
d. LT−1
e. L−1T−1
ANS: B PTS: 2 DIF: Average
8. One mole of the carbon-12 isotope contains 6.022 1023 atoms. What volume in m3 would be needed
to store one mole of cube-shaped children's blocks 2.00 cm long on each side?
a. 4.8 1018
b. 1.2 1022
c. 6.0 1023
d. 1.2 1024
e. 4.8 1024
ANS: A PTS: 2 DIF: Average
9. John and Linda are arguing about the definition of density. John says the density of an object is
proportional to its mass. Linda says the object's mass is proportional to its density and to its volume.
Which one, if either, is correct?
a. They are both wrong.
b. John is correct, but Linda is wrong.
c. John is wrong, but Linda is correct.
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,Test Bank For Principles of Physics: A Calculus-Based Text
Chapter 1—Introduction and Vectors
d. They are both correct.
e. They are free to redefine density as they wish.
ANS: D PTS: 1 DIF: Easy
10. Spike claims that dimensional analysis shows that the correct expression for change in velocity,
, is , where m is mass, t is time, and F is the magnitude of force. Carla says that
can't be true because the dimensions of force are . Which one, if either, is correct?
a.
Spike, because .
b.
Spike, because .
c.
Carla, because .
d.
Carla, because .
e.
Spike, because the dimensions of force are .
ANS: C PTS: 2 DIF: Average
11. Which one of the quantities below has dimensions equal to ?
a. mv
b. mv2
c.
d. mrv
e.
ANS: C PTS: 2 DIF: Average
12. Which quantity can be converted from the English system to the metric system by the conversion
factor ?
a. feet per second
b. feet per hour
c. miles per second
d. miles per hour
e. miles per minute
3
, Test Bank For Principles of Physics: A Calculus-Based Text
Chapter 1—Introduction and Vectors
ANS: D PTS: 2 DIF: Average
13. The answer to a question is [MLT−1]. The question is "What are the dimensions of
a. mr?"
b. mvr?"
c. ma?"
d. mat?"
e.
?"
ANS: D PTS: 2 DIF: Average
14. Which of the following products of ratios gives the conversion factor to convert miles per hour
to meters per second ?
a.
b.
c.
d.
e.
ANS: D PTS: 2 DIF: Average
15. Which of the following products of ratios gives the conversion factors to convert meters per second
to miles per hour ?
a.
b.
c.
d.
e.
ANS: D PTS: 2 DIF: Average
4
Chapter 1—Introduction and Vectors
Chapter 1—Introduction and Vectors
MULTIPLE CHOICE
1. The density of an object is defined as:
a. the volume occupied by each unit of mass.
b. the amount of mass for each unit of volume.
c. the weight of each unit of volume.
d. the amount of the substance that has unit volume and unit mass.
e. the amount of the substance that contains as many particles as 12 grams of the carbon-12
isotope.
ANS: B PTS: 1 DIF: Easy
2. Find the average density of a red giant star with a mass of 20 1030 kg (approximately 10 solar
masses) and a radius of 150 109 m (equal to the Earth's distance from the sun).
a. 1.41 10−4 kg/m3
b. 0.007 kg/m3
c. 1.41 kg/m3
d. 710 kg/m3
e. 1.41 10−3 kg/m3
ANS: E PTS: 2 DIF: Average
3. Find the average density of a white dwarf star if it has a mass equal to that of the sun (2.0 1030 kg)
and a radius equal to that of the Earth (6.4 106 m).
a. 9.0 106 kg/m3
b. 1.8 107 kg/m3
c. 1.8 109 kg/m3
d. 3.6 1010 kg/m3
e. 9.0 107 kg/m3
ANS: C PTS: 2 DIF: Average
4. The term occurs in Bernoulli's equation in Chapter 15, with being the density of a fluid and v
its speed. The dimensions of this term are
a. M−1L5T2
b. MLT2
c. ML−1T−2
d. M−1L9T−2
e. M−1L3T−2
ANS: C PTS: 2 DIF: Average
1
,Test Bank For Principles of Physics: A Calculus-Based Text
Chapter 1—Introduction and Vectors
5. Which of the following quantities has the same dimensions as kinetic energy, ?
Note: [a] = [g] = LT−2; [h] = L and [v] = LT−1.
a. ma
b. mvx
c. mvt
d. mgh
e. mgt
ANS: D PTS: 2 DIF: Average
6. The quantity with the same units as force times time, Ft, with dimensions MLT−1 is
a. mv
b. mvr
c. mv2r
d. ma
e.
ANS: A PTS: 2 DIF: Average
7. The equation for the change of position of a train starting at x = 0 m is given by . The
dimensions of b are
a. T−3
b. LT−3
c. LT−2
d. LT−1
e. L−1T−1
ANS: B PTS: 2 DIF: Average
8. One mole of the carbon-12 isotope contains 6.022 1023 atoms. What volume in m3 would be needed
to store one mole of cube-shaped children's blocks 2.00 cm long on each side?
a. 4.8 1018
b. 1.2 1022
c. 6.0 1023
d. 1.2 1024
e. 4.8 1024
ANS: A PTS: 2 DIF: Average
9. John and Linda are arguing about the definition of density. John says the density of an object is
proportional to its mass. Linda says the object's mass is proportional to its density and to its volume.
Which one, if either, is correct?
a. They are both wrong.
b. John is correct, but Linda is wrong.
c. John is wrong, but Linda is correct.
2
,Test Bank For Principles of Physics: A Calculus-Based Text
Chapter 1—Introduction and Vectors
d. They are both correct.
e. They are free to redefine density as they wish.
ANS: D PTS: 1 DIF: Easy
10. Spike claims that dimensional analysis shows that the correct expression for change in velocity,
, is , where m is mass, t is time, and F is the magnitude of force. Carla says that
can't be true because the dimensions of force are . Which one, if either, is correct?
a.
Spike, because .
b.
Spike, because .
c.
Carla, because .
d.
Carla, because .
e.
Spike, because the dimensions of force are .
ANS: C PTS: 2 DIF: Average
11. Which one of the quantities below has dimensions equal to ?
a. mv
b. mv2
c.
d. mrv
e.
ANS: C PTS: 2 DIF: Average
12. Which quantity can be converted from the English system to the metric system by the conversion
factor ?
a. feet per second
b. feet per hour
c. miles per second
d. miles per hour
e. miles per minute
3
, Test Bank For Principles of Physics: A Calculus-Based Text
Chapter 1—Introduction and Vectors
ANS: D PTS: 2 DIF: Average
13. The answer to a question is [MLT−1]. The question is "What are the dimensions of
a. mr?"
b. mvr?"
c. ma?"
d. mat?"
e.
?"
ANS: D PTS: 2 DIF: Average
14. Which of the following products of ratios gives the conversion factor to convert miles per hour
to meters per second ?
a.
b.
c.
d.
e.
ANS: D PTS: 2 DIF: Average
15. Which of the following products of ratios gives the conversion factors to convert meters per second
to miles per hour ?
a.
b.
c.
d.
e.
ANS: D PTS: 2 DIF: Average
4
