Deck 1: Concepts of Motion

Question 1

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.

Answer 1

3.25 × 10^-10 mm.

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

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.

Answer 3

less than 125.

Question 4

The number 0.003010 has

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

Question 5

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 6

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 7

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 8

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 9

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 10

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

Question 11

Convert 1.2 × 10^-3 to decimal notation.

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

Question 12

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

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

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.

Question 15

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

Question 16

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 17

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.

Question 18

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 19

0.0001776 can also be expressed as

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

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

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 22

The wavelength of a certain laser is 0.35 micrometers, where 1 micrometer = 1 x 10^-6 m. 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 23

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 24

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 25

The following exact conversion equivalents are given: 1 m = 100 cm, 1 in = 2.54 cm, and 1 ft = 12 in. If a computer screen has an area of 1.27 ft², 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 26

In addition to 1 m = 39.37 in., the following exact conversion equivalents are given:
1 mile = 5280 ft, 1 ft = 12 in, 1 hour = 60 min, 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 27

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

A) 4.1656 × 10^-1
B) 4.166 × 10^-1
C) 4.17 × 10^-1
D) 4.2 × 10^-1
E) 4 × 10^-1

Question 28

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 29

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 30

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 31

How many nanoseconds does it take for a computer to perform one calculation if it performs 6.7 x 10⁷ calculations per second?

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

Question 32

A person on a diet loses 1.6 kg in a week. How many micrograms/second (µg/s) 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 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

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 35

A weight lifter can bench press 171 kg. 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 36

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 37

A plot of land contains 5.8 acres. How many square meters does it contain? [1 acre = 43,560 ft²]

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

Question 38

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 92 meters. How many square alberts is equal to one acre? (1 acre = 43,560 ft² = 4050 m²)

Question 39

Add 3685 g and 66.8 kg 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

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 41

The mass of a typical adult woman is closest to

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

Question 42

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

A) 2 × 10²
B) 2 × 10³
C) 2 × 10⁴
D) 2 × 10⁵
E) 2 x 10⁶

Question 43

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

A) 3 × 10¹¹
B) 3 × 10¹⁰
C) 3 × 10⁹
D) 3 × 10⁸
E) 3 × 10⁷

Question 44

A marathon is 26 mi and 385 yd long. Estimate how many strides would be required to run a marathon. Assume a reasonable value for the average number of feet/stride.

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

Question 45

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

A) 3 × 10⁴
B) 3 × 10⁵
C) 3 × 10⁶
D) 3 × 10⁷
E) 3 x 10⁸

Question 46

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

A) 4 × 10⁵
B) 4 × 10⁶
C) 4 × 10⁷
D) 4 × 10⁸
E) 4 × 10⁹

Question 47

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

A) 5 × 10²
B) 5 × 10³
C) 5 × 10⁴
D) 5 × 10⁵
E) 5 x 10⁶

Question 48

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 49

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 50

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 kg · m · s^-2 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 51

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 52

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)