Deck 1: Concepts of Motion

Question 1

If, in a parallel universe, π has the value 3.14149, express π in that universe to four significant figures.

A) 3.141
B) 3.142
C) 3.1415
D) 3.1414

Answer 1

3.141

Question 2

If a tree is 15 m tall, its height expressed in feet is x ft, where x is

A) less than 15.
B) greater than 15.

Answer 2

greater than 15.

Question 3

The current definition of the standard kilogram of mass is based on

A) the mass of the earth.
B) the mass of the sun.
C) the mass a particular object kept in France.
D) the mass of a cesium-133 atom.

Answer 3

the mass a particular object kept in France.

Question 4

Write out the number 7.35 × 10^-5 in full with a decimal point and correct number of zeros.

A) 0.00000735
B) 0.0000735
C) 0.000735
D) 0.00735
E) 0.0735

Question 5

When determining the number of significant figures in a number, zeroes to the left of the decimal point are never counted.

A) True
B) False

Question 6

What is the value of π(8.104)², written with the correct number of significant figures?

A) 206.324
B) 206.323
C) 206.3
D) 206
E) 200

Question 7

The current definition of the standard second of time is based on

A) the frequency of radiation emitted by cesium atoms.
B) the earth's rotation rate.
C) the duration of one year.
D) the oscillation of a particular pendulum kept in France.

Question 8

0.0001776 can also be expressed as

A) 1.776 × 10^-3.
B) 1.776 × 10^-4.
C) 17.72 × 10⁴.
D) 1772 × 10⁵.
E) 177.2 × 10⁷.

Question 9

The current definition of the standard meter of length is based on

A) the distance between the earth's equator and north pole.
B) the distance between the earth and the sun.
C) the distance traveled by light in a vacuum.
D) the length of a particular object kept in France.

Question 10

If an operatic aria lasts for 5.75 min, its length expressed in seconds is x s, where x is

A) less than 5.75.
B) greater than 5.75.

Question 11

Scientists use the metric system chiefly because it is more accurate than the English system.

A) True
B) False

Question 12

If a flower is 6.5 cm wide, its width expressed in millimeters is x mm, where x is

A) less than 6.5.
B) greater than 6.5.

Question 13

What is the sum of 1.53 + 2.786 + 3.3 written with the correct number of significant figures?

A) 8
B) 7.6
C) 7.62
D) 7.616
E) 7.6160

Question 14

When adding two numbers, the number of significant figures in the sum is equal to the number of significant figures in the least accurate of the numbers being added.

A) True
B) False

Question 15

If a woman weighs 125 lb, her mass expressed in kilograms is x kg, where x is

A) less than 125.
B) greater than 125.

Question 16

Convert 1.2 × 10^-3 to decimal notation.

A) 1.200
B) 0.1200
C) 0.0120
D) 0.0012
E) 0.00012

Question 17

The number 0.003010 has

A) 7 significant figures.
B) 6 significant figures.
C) 4 significant figures.
D) 2 significant figures.

Question 18

0.00325 × 10^-8 cm can also be expressed in mm as

A) 3.25 × 10^-12 mm.
B) 3.25 × 10^-11 mm.
C) 3.25 × 10^-10 mm.
D) 3.25 × 10^-9 mm.
E) 3.25 × 10^-8 mm.

Question 19

What is the sum of 1123 and 10.3 written with the correct number of significant figures?

A) 1.13 × 10³
B) 1133.3000
C) 1.1 × 10³
D) 1133.3
E) 1133

Question 20

What is to the proper number of significant figures?

A) 0.91
B) 0.911
C) 0.9108
D) 0.9

Question 21

What is 34 + (3) × (1.2465) written with the correct number of significant figures?

A) 37.7
B) 37.74
C) 4 × 10¹
D) 38
E) 37.7395

Question 22

What is the result of 1.58 ÷ 3.793 written with the correct number of significant figures?

A) 4.1656 ×
B) 4.166 ×
C) 4.17 ×
D) 4.2 ×
E) 4 ×

Question 23

Express (4.3 × 10⁶)^-1/2 in scientific notation.

A) 4.8 × 10^-4
B) 2.1 × 10³
C) 2.1 × 10^-5
D) 2.1 × 10⁴

Question 24

A certain CD-ROM disk can store approximately 6.0 × 10² megabytes of information, where 10⁶ bytes = 1 megabyte. If an average word requires 9.0 bytes of storage, how many words can be stored on one disk?

A) 6.7 × 10⁷ words
B) 5.4 × 10⁹ words
C) 2.1 × 10⁷ words
D) 2.0 × 10⁹ words

Question 25

A weight lifter can bench press How many milligrams (mg) is this?

A) 1.71 × 10⁸ mg
B) 1.71 × 10⁹ mg
C) 1.71 × 10⁷ mg
D) 1.71 × 10⁶ mg

Question 26

Albert uses as his unit of length (for walking to visit his neighbors or plowing his fields) the albert (A), the distance Albert can throw a small rock. One albert is How many square alberts is equal to one acre? (1 acre = 43,560 ft² = 4050 m²)

Question 27

A person on a diet loses in a week. How many are lost?

A) 2.6 × 10³ μg/s
B) 1.6 × 10⁵ μg/s
C) 44 μg/s
D) 6.4 × 10⁴ μg/s

Question 28

What is the difference between 103.5 and 102.24 written with the correct number of significant figures?

A) 1
B) 1.3
C) 1.26
D) 1.260
E) 1.2600

Question 29

How many nanoseconds does it take for a computer to perform one calculation if it performs calculations per second?

A) 15 ns
B) 67 ns
C) 11 ns
D) 65 ns

Question 30

The following exact conversion equivalents are given: 1 m = 100 cm , 1 in = 2.54 cm, and If a computer screen has an area of 1.27 , this area is closest to

A) 0.00284 m².
B) 0.0465 m².
C) 0.118 m².
D) 0.284 m².
E) 4.65 m².

Question 31

What is the product of 11.24 and 1.95 written with the correct number of significant figures?

A) 22
B) 21.9
C) 21.92
D) 21.918
E) 21.9180

Question 32

The wavelength of a certain laser is where Express this wavelength in nanometers.

A) 3.5 × 10² nm
B) 3.5 × 10³ nm
C) 3.5 × 10¹ nm
D) 3.5 × 10⁴ nm

Question 33

Convert a speed of 4.50 km/h to units of ft/min. (1.00 m = 3.28 ft)

A) 0.246 ft/min
B) 82.3 ft/min
C) 165 ft/min
D) 246 ft/min
E) 886 ft/min

Question 34

The length and width of a rectangle are 1.125 m and 0.606 m, respectively. Multiplying, your calculator gives the product as 0.68175. Rounding properly to the correct number of significant figures, the area should be written as

A) 0.7 m².
B) 0.68 m².
C) 0.682 m².
D) 0.6818 m².
E) 0.68175 m².

Question 35

What is 56 + (32.00)/(1.2465 + 3.45) written with the correct number of significant figures?

A) 62.8
B) 62.812
C) 62.81
D) 63
E) 62.8123846

Question 36

What is 0.205^2/3, expressed to the proper number of significant figures?

A) 0.348
B) 0.35
C) 0.3
D) 0.3477

Question 37

In addition to 1 m = 39.37 in., the following exact conversion equivalents are given: and 1 min = 60 s. If a particle has a velocity of 8.4 miles per hour, its velocity, in m/s, is closest to

A) 3.8 m/s.
B) 3.0 m/s.
C) 3.4 m/s.
D) 4.1 m/s.
E) 4.5 m/s.

Question 38

The shortest wavelength of visible light is approximately 400 nm. Express this wavelength in centimeters.

A) 4 × 10^-5 cm
B) 4 × 10^-7 cm
C) 4 × 10^-9 cm
D) 4 × 10^-11 cm
E) 400 × 10^-11 cm

Question 39

Add and and express your answer in milligrams (mg).

A) 7.05 × 10⁷ mg
B) 7.05 × 10⁴ mg
C) 7.05 × 10⁵ mg
D) 7.05 × 10⁶ mg

Question 40

A plot of land contains How many square meters does it contain?

A) 2.3 × 10⁴ m²
B) 7.1 × 10³ m²
C) 7.0 × 10⁴ m²
D) 5.0 × 10⁴ m²

Question 41

Approximately how many times does an average human heart beat in a lifetime?

A) 3 ×
B) 3 ×
C) 3 ×
D) 3 ×
E) 3 ×

Question 42

A marathon is and long. Estimate how many strides would be required to run a marathon. Assume a reasonable value for the average number of

A) 4.5 × 10⁴ strides
B) 4.5 × 10³ strides
C) 4.5 × 10⁵ strides
D) 4.5 × 10⁶ strides

Question 43

Approximately how many pennies would you have to stack to reach an average 8-foot ceiling?

A) 2 ×
B) 2 ×
C) 2 ×
D) 2 ×
E) 2 ×

Question 44

The height of the ceiling in a typical home, apartment, or dorm room is closest to

A) 100 cm.
B) 200 cm.
C) 400 cm.
D) 500 cm.

Question 45

Approximately how many times does an average human heart beat in a year?

A) 4 ×
B) 4 ×
C) 4 ×
D) 4 ×
E) 4 ×

Question 46

Estimate the number of pennies that would fit in a box one foot long by one foot wide by one foot tall.

A) 5 ×
B) 5 ×
C) 5 ×
D) 5 ×
E) 5 ×

Question 47

The position x, in meters, of an object is given by the equation x = A + Bt + Ct², where t represents time in seconds. What are the SI units of A, B, and C?

A) m, m, m
B) m, s, s
C) m, s, s²
D) m, m/s, m/s²
E) m/s, m/s², m/s³

Question 48

The speed of a wave pulse on a string depends on the tension, F, in the string and the mass per unit length, μ, of the string. Tension has SI units of and the mass per unit length has SI units of What combination of F and μ must the speed of the wave be proportional to?

A) F / μ
B) μ / F
C)
D)
E)

Question 49

The period of a pendulum is the time it takes the pendulum to swing back and forth once. If the only dimensional quantities that the period depends on are the acceleration of gravity, g, and the length of the pendulum, ℓ, what combination of g and ℓ must the period be proportional to? (Acceleration has SI units of m ∙ s^-2.).

A) g/ℓ
B) gℓ²
C) gℓ
D)
E)

Question 50

The exhaust fan on a typical kitchen stove pulls 600 CFM (cubic feet per minute) through the filter. Given that 1.00 in. = 2.54 cm, how many cubic meters per second does this fan pull?

A) 0.283 m³/sec
B) 0.328 m³/sec
C) 3.05 m³/sec
D) 32.8 m³/sec

Question 51

Estimate the number of times the earth will rotate on its axis during a human's lifetime.

A) 3 ×
B) 3 ×
C) 3 ×
D) 3 ×
E) 3 ×

Question 52

The mass of a typical adult woman is closest to

A) 20 kg.
B) 35 kg.
C) 75 kg.
D) 150 kg.