Deck 1: Introduction

Question 1

The radius of a circle is increased by 5%. The percentage increase of the circumference is

A) 5%.
B) 10%.
C) 12%.
D) 16%.

Answer 1

5%.

Question 2

The volume of a sphere is 8.00 m³. The radius of the sphere is

A) 1.24 m.
B) 2.00 m.
C) 2.65 m.
D) 3.00 m.

Answer 2

1.24 m.

Question 3

By what factor does the volume of a cube increase if the lengths of the edges are doubled?

A) 2
B) 4
C) 6
D) 8

Answer 3

8

Question 4

By what factor does the volume of a cube increase if the lengths of the edges are tripled?

A) 6
B) 9
C) 3
D) 27

Question 5

In everyday language, power and force are similar, but in physics

A) force has only magnitude.
B) power has only direction.
C) force has magnitude and direction.
D) power has magnitude and direction.
E) None of these answers are correct.

Question 6

If the length of a box is reduced by one-third and the width and height are doubled, by what factor has the volume changed?

A) 4/3
B) 2/3
C) 3/4
D) 3/2

Question 7

If the surface area of a sphere is increased by 16%, by what percentage has the radius been changed?

A) 16%
B) 8.1%
C) 7.7%
D) 12%

Question 8

The last page of a book is numbered 814 and the book is 3.00 cm thick. What is the average thickness of each page?

A) 2.54 × 10³ cm
B) 2.54 × 10^-3 cm
C) 7.37 × 10^-3 cm
D) 3.92 × 10^-3 cm

Question 9

By what approximate factor is a 12 inch pizza larger in area than a 10 inch pizza?

A) 1.2
B) 1.1
C) 1.4
D) 1.6

Question 10

The radius of a circle is tripled. By what factor is the area changed?

A) 3
B) 6
C) 9
D) 12

Question 11

Algebraic symbols in physics equations represent physical quantities, therefore

A) the symbols represent numbers only.
B) the symbols represent numbers and units.
C) the symbols consist of units only.
D) the symbols are only abstract.
E) the symbols are only imaginary.

Question 12

The side of a cube is decreased by 6%. The percentage decrease of the volume of the cube is

A) 6%.
B) 9%.
C) 12%.
D) 17%.

Question 13

What is the percentage increase in area when ordering a 14 inch rather than a 12 inch pizza?

A) 16%
B) 26%
C) 36%
D) 46%

Question 14

If the surface area of a sphere increased by a factor of 3, by what factor did the radius of the sphere change?

A) 1.14
B) 1.73
C) 2.00
D) 2.24

Question 15

The side of a cube is increased by 5%. The percentage increase of the surface area of the cube is about

A) 5%.
B) 10%.
C) 12%.
D) 16%.
E) 18%.

Question 16

A student of physics watching the Star Wars films knows that according to the laws of physics

A) the Rebel heroes can see the flash of an explosion in space.
B) the Rebel heroes can hear the sound of an explosion in space.
C) the Rebel heroes can communicate using their radios in space.
D) the Rebel heroes can see the flash of an explosion in space AND the Rebel heroes can communicate using their radios in space.
E) the Rebel heroes can see the flash of an explosion in space AND the Rebel heroes can hear the sound of an explosion in space.

Question 17

The radius of a circle is increased by 5%. The percentage increase of the area is about

A) 5%.
B) 10%.
C) 12%.
D) 16%.

Question 18

In everyday language, speed and velocity are synonyms, but in physics

A) velocity has only magnitude.
B) speed has only direction.
C) velocity has magnitude and direction.
D) speed has magnitude and direction.
E) velocity has only direction.

Question 19

The radius of a sphere is 2.00 m. The surface area of the sphere is

A) 36.7 m².
B) 50.3 m².
C) 72.5 m².
D) 75.0 m².

Question 20

The diameter of a circle is doubled. By what factor is the area changed?

A) √2
B) 2
C) 4
D) √4
E) 1

Question 21

The length 3.76 mm is multiplied by 0.0232 mm. The appropriately rounded product is

A) 0.082 mm².
B) 0.09 mm².
C) 0.087 mm².
D) 0.0872 mm².
E) 0.08723 mm².

Question 22

Approximately how many square centimeters are in 1 square foot (1 in = 2.54 cm)?

A) 30.5 cm²
B) 929 cm²
C) 366 cm²
D) 144 cm²
E) 22.3 cm²

Question 23

If the radius of the Earth is 6400.0 km and the atmosphere is 10.0 km high, then the volume of air around the Earth is

A) 5.16 × 10¹⁸ m³.
B) 3.605 × 10¹⁶ m³.
C) 5.2 × 10¹⁸ m³.
D) 5.1552 × 10⁹ m³.

Question 24

The length 4.221 cm is added to 0.01 cm. The appropriately rounded sum is

A) 4.22 cm.
B) 4.231 cm.
C) 4.23 cm.
D) 4.2 cm.
E) 4.21 cm.

Question 25

The precision and number of significant figures in 1.003 km is

A) precision = 0.0001 km, significant figures = 4.
B) precision = 0.001 km, significant figures = 4.
C) precision = 0.0001 km, significant figures = 3.
D) precision = 0.001 km, significant figures = 3.
E) precision = 0.0001 km, significant figures = 2.

Question 26

The length 3.76 mm is multiplied by 0.05 mm. The appropriately rounded product is

A) 0.18 mm².
B) 0.2 mm².
C) 0.19 mm².
D) 0.1881 mm².
E) 0.29 mm².

Question 27

The number of significant figures in 3.24 cm is

A) 2
B) 3
C) 4
D) 5

Question 28

1.0 micrometer equals how many millimeters?

A) 1.0 × 10⁻⁶
B) 1.0 × 10⁻³
C) 1.0 × 10³
D) 1.0 × 10⁶

Question 29

The length 3.76 mm is divided by 6 mm. The appropriately rounded ratio is

A) 0.627.
B) 0.63.
C) 0.6.
D) 0.62666.
E) 0.6267.

Question 30

The length 3.76 mm is divided by 0.0232 mm. The appropriately rounded ratio is

A) 160.
B) 162.
C) 162.1.
D) 162.07.
E) 162.069.

Question 31

The number of seconds in exactly 30 days is

A) 2.59 × 10⁶.
B) 2.592 × 10⁶.
C) 2.5920 × 10⁶.
D) 2.592000 × 10⁶.

Question 32

Using the following unit conversions: 1.00 fluid ounce = 29.573 ml, 1.00 L = 1000 cm³, density of water = 1.00 g/cm³, the number of fluid ounces in a kg of water is

A) 48.8 fluid ounces.
B) 40.1 fluid ounces.
C) 33.8 fluid ounces.
D) 25.7 fluid ounces.

Question 33

One angstrom = 10⁻¹⁰ m and one fermi = 10⁻¹⁵ m. What is the relationship between these units?

A) 1 angstrom = 10⁵ fermi
B) 1 angstrom = 10⁻⁵ fermi
C) 1 angstrom = 10⁻²⁵ fermi
D) 1 angstrom = 10²⁵ fermi

Question 34

The precision and number of significant figures in 0.0045 mm is

A) precision = 0.0001 mm, significant figures = 4.
B) precision = 0.001 mm, significant figures = 4.
C) precision = 0.0001 mm, significant figures = 3.
D) precision = 0.001 mm, significant figures = 3.
E) precision = 0.0001 mm, significant figures = 2.

Question 35

The price of gasoline goes up 6% on Monday night and then goes down 7% the following day. What is the net percentage change in the price of gasoline from Monday morning?

A) 1.0%
B) 2.0%
C) −1.4%
D) −1.0%

Question 36

1.0 kilometer equals how many nanometers?

A) 1.0 × 10¹²
B) 1.0 × 10⁶
C) 1.0 × 10⁴
D) 1.0 × 10⁻³

Question 37

A cube is 1.0 inch in length on the side (1 in = 2.54 cm). The volume of the cube is

A) 1.64 × 10¹ cm³.
B) 1.6387 × 10¹ cm³.
C) 1.6 × 10¹ cm³.
D) 1.639 × 10¹ cm³.

Question 38

1.0 centimeter equals how many micrometers?

A) 1.0 × 10¹²
B) 1.0 × 10⁶
C) 1.0 × 10⁴
D) 1.0 × 10^-3

Question 39

Which of the SI prefixes is used to indicate 10⁹?

A) kilo
B) mega
C) giga
D) tera
E) nano

Question 40

The population of the United States (in 2019) is approximately 329,000,000. Write this number in scientific notation.

A) 3.3 × 10⁷
B) 329 × 10⁶
C) 3.29 × 10⁷
D) 3.29 × 10⁸
E) 32.9 × 10⁷

Question 41

To be dimensionally consistent, distance [L], velocity [L/T], and acceleration [L/T²] must be related as follows.

A) distance = velocity²/acceleration
B) distance = velocity/acceleration
C) distance = velocity² × acceleration
D) distance = velocity × acceleration²

Question 42

Find the equation x = at² + bt that fits the following data.

A) x = 2t
B) x = 6t² − 3t
C) x = 2t² + 2t
D) x = t² + 2t

Question 43

To be dimensionally consistent, distance [L], acceleration [L/T²], and time [T] must be related as follows.

A) distance = acceleration² × time²
B) distance = acceleration × time
C) distance = acceleration × time²
D) distance = acceleration² × time

Question 44

Find the equation x = at² + b that fits the following data.

A) x = 4t² + 16
B) x = 2t² − 16
C) x = 4t² − 16
D) x = 2t² + 16

Question 45

Estimate the number of dollar bills (15.5 cm wide), placed end to end, that it would take to circle the Earth (radius = 6.40 × 10³ km).

A) 9.5 × 10⁸
B) 2.6 × 10⁸
C) 3.7 × 10⁷
D) 1.2 × 10⁷
E) 8.5 × 10⁶

Question 46

Estimate how many textbooks of 1000 pages stacked on top of each other would make a stack of books 15 feet high.

A) 100
B) 10
C) 1000
D) 1
E) 500

Question 47

To be dimensionally consistent, velocity [L/T], frequency [1/T], and wavelength [L] must be related as follows.

A) velocity = frequency² × wavelength
B) velocity = frequency × wavelength
C) velocity = frequency/wavelength
D) velocity = frequency/wavelength²

Question 48

To be dimensionally consistent, velocity [L/T], pressure [M/LT²], and density [M/L³] must be related as follows.

A) velocity = pressure/density
B) velocity² = pressure/density²
C) velocity = pressure/density²
D) velocity² = pressure/density

Question 49

Find the equation x = at + b that fits the following data.

A) x = 45 t + 20
B) x = 35 t + 20
C) x = 35 t + 15
D) x = 25 t + 45

Question 50

Find the equation v² = ah + b that fits the following data.

A) v² = 4h
B) v² = 2h + 8
C) v² = 4h + 4.90
D) v² = h

Question 51

To be dimensionally consistent, distance [L], velocity [L/T], and time [T] must be related as follows.

A) distance = time/velocity
B) distance = velocity/time
C) distance = time/velocity²
D) distance = velocity × time²
E) distance = velocity × time

Question 52

To be dimensionally consistent, velocity [L/T], force [ML/T²], mass [M], and length [L] must be related as follows.

A) velocity² = force × length/mass
B) velocity² = force × length/mass²
C) velocity = force × length²/mass
D) velocity = force × length/mass

Question 53

Find the equation x = at + b that fits the following data.

A) x = 20t − 80
B) x = −20t + 80
C) x = 40t + 80
D) x = −40t + 20

Question 54

To be dimensionally consistent, velocity [L/T], acceleration [L/T²] and time [T] must be related as follows.

A) velocity = acceleration × time
B) velocity = acceleration × time²
C) velocity = acceleration² × time²
D) velocity = acceleration² × time

Question 55

Which of the following is not an SI base unit?

A) kelvin
B) kilogram
C) newton
D) second
E) meter

Question 56

To be dimensionally consistent, pressure [M/LT²], density [M/L³], and velocity [L/T] must be related as follows.

A) pressure² = density × velocity²
B) pressure = density × velocity²
C) pressure = density × velocity
D) pressure = density² × velocity

Question 57

Find the equation x = at² + b that fits the following data.

A) x = −4t² + 60
B) x = 5t² + 60
C) x = −2t² + 60
D) x = 3t² + 60

Question 58

To be dimensionally consistent, force [ML/T²], pressure [M/LT²], and length [L] must be related as follows.

A) force = pressure² × length²
B) force = pressure² × length
C) force = pressure × length²
D) force = pressure × length

Question 59

Assume everyone in the United States consumes one soft drink in an aluminum can every two days. If there are 330 million Americans, estimate how many tons of aluminum need to be recycled each year if each can weighs 1/16 pound and one ton = 2000 pounds.

A) 750,000 tons
B) 1.9 million tons
C) 1.0 million tons
D) 3 million tons
E) 1,600,000 tons

Question 60

Find the equation x = at² + b that fits the following data.

A) x = t² + 18
B) x = 4t² − 2
C) x = t² + 1
D) x = 2t²

Question 61

To find the slope from a graph of data for which a linear relation is expected, you should

A) use two nearby data points.
B) use two data points as far away as possible from each other.
C) use two nearby points on the best-fit line, which are not actual data points.
D) use two distant points on the best-fit line, which are not actual data points.
E) calculate the slope for every possible pair of data points, and average the values.

Question 62

A 2.0 kg object is moving at a speed of v = 12.0 m/s. The drag force is 6.0 N. If the drag force is given by the equation F = bv², then the value of b is

A) 1.5 × 10⁻² Ns²/m².
B) 4.2 × 10⁻² kg/m.
C) 3.9 × 10⁻¹ kg/m².
D) 4.2 × 10⁻¹ N/m².
E) 7.5 × 10⁻³ Ns²/m².

Question 63

Find the equation v² = ah + b that fits the following data.

A) v² = 3h − 6
B) v² = h − 2
C) v² = 2h + 4
D) v² = 2h − 4

Question 64

Consider the ratio of the surface area of a sphere to its volume. What happens to this ratio if the diameter of the sphere increases by a factor of 3?

A) increases by a factor of 3
B) decreases by a factor of 3
C) increases by a factor of 9
D) decreases by a factor of 9
E) stays the same

Question 65

After carefully reading a physics problem, a good first step in solving it is to

A) draw a sketch or diagram.
B) work backwards from the solution.
C) look up other similar problems with solutions.
D) look up equations that have the same variables.

Question 66

Consider the ratio of the surface area of a cube to its volume. What happens to this ratio if the side length of the cube decreases by a factor of 2?

A) Increases by a factor of 4
B) Decreases by a factor of 4
C) Increases by a factor of 2
D) Decreases by a factor of 2
E) Remains the same

Question 67

A liter is equivalent to 33.8 fluid ounces. How many liters of gasoline are required to fill a 21 gallon gas tank, if 1 gallon is equivalent to 128 fluid ounces?

A) 710 liters
B) 210 liters
C) 80 liters
D) 6 liters

Question 68

What is the approximate volume of the average adult human body?

A) 0.1 m³
B) 0.01 m³
C) 0.5 m³
D) 1 m³

Question 69

The best way to learn problem-solving techniques for physics is to

A) watch others demonstrate them.
B) practice them.
C) memorize them.
D) read about them in the text.

Question 70

Estimate the surface area of an adult human's head.

A) 0.01 m²
B) 0.5 m²
C) 1.0 m²
D) 0.1 m²

Question 71

Which of the following is a reasonable estimate for the total surface area of all the seats in a football stadium that seats 100,000 spectators? Consider only the horizontal portion of the seats (the part that people actually sit on).

A) 1 × 10³ m²
B) 2 × 10⁶ m²
C) 5 × 10² m²
D) 1 × 10⁴ m²
E) 2 × 10⁵ m²

Question 72

What is the approximate volume of an adult human's head?

A) 0.001 m³
B) 0.005 m³
C) 0.02 m³
D) 1.0 m³
E) 0.1 m³

Question 73

A major league pitcher is recorded as having thrown a 105 mph fastball. What is the speed of the pitch in m/s? One mile is equivalent to 1609 m.

A) 15 m/s
B) 34 m/s
C) 47 m/s
D) 235 m/s

Question 74

A graph of x vs. t² is linear, and intercepts the vertical axis at 12 m and the horizontal axis at 4 s². What is the function?

A) x = 12 m + (6 m/s²)t²
B) x = 12 m − (6 m/s²)t²
C) x = 12 m − (3 m/s²)t²
D) x = 12 m + (3 m/s²)t²