Deck 1: Representing Motion

Question 1

The number of significant figures in 0.040 is

A)one.
B)two.
C)three.
D)four.

Answer 1

B

Question 2

The number of significant figures in 10001 is

A)two.
B)three.
C)five.
D)six.

Answer 2

C

Question 3

In the product A ∙ B ∙ C, A has 5 significant figures, B has 2 significant figures, and C has 3 significant figures. How many significant figures does the product have?

A)2
B)3
C)4
D)5
E)10

Answer 3

A

Question 4

A reasonable estimate for the mass of an ordinary passenger car is

A)100 kg
B)1000 kg
C)5000 kg
D)10,000 kg

Question 5

A reasonable estimate for the mass of a typical female college student is

A)20 kg.
B)50 kg.
C)150 kg.
D)200 kg.

Question 6

In the sum A + B + C, A is accurate to 5 decimal places, B is accurate to 2 decimal places, and C is accurate to 3 decimal places. What is the correct number of decimal places in the sum?

A)2
B)3
C)4
D)5
E)10

Question 7

The number of significant figures in 0.01500 is

A)two.
B)three.
C)four.
D)five.

Question 8

The metric system is preferred over the British system in science for the following main reason.

A)The metric system is more precise than the British system.
B)Metric quantities can be defined more accurately than the quantities in the British system.
C)Metric quantities are natural whereas British quantities are invented.
D)Conversions between metric quantities are especially easy because they are all related by factors of ten.

Question 9

A reasonable estimate for the height of the walls in an ordinary American home is

A)10 m.
B)8 m.
C)2.5 m.
D)1.5 m.

Question 10

How many significant figures are in the number 0.010?

A)four
B)three
C)two
D)one

Question 11

In a parallel universe, the quantity ? has the value 3.14049… . Express ? in that universe to
(a)four significant figures
(b)five significant figures.

Question 12

A reasonable estimate for the duration of a typical physics lecture is

A)600 s.
B)1000 s.
C)3500 s.
D)10,000 s.

Question 13

In the difference A - B - C, A is accurate to 5 decimal places, B is accurate to 2 decimal places, and C is accurate to 3 decimal places. What is the correct number of decimal places in the difference?

A)2
B)3
C)4
D)5
E)0

Question 14

A reasonable estimate for the height of an ordinary adult male is

A)50 cm.
B)70 cm.
C)200 cm.
D)300 cm.

Question 15

How many significant figures are in the number 120.070?

A)six
B)five
C)four
D)three

Question 16

How many significant figures are in the number 0.0037010?

A)four
B)five
C)six
D)seven
E)eight

Question 17

In the quotient $\frac { A } { B \cdot C }$ , A has 5 significant figures, B has 2 significant figures, and C has 3 significant figures. How many significant figures does the quotient have?

A)2
B)3
C)4
D)0
E)1

Question 18

Which of the following numbers has 4 significant figures; which has 5 significant figures?
(a)3001
(b)0.00370
(c)4774.00
(d)29.290

Question 19

A reasonable estimate for the mass of a typical new-born baby is

A)1 kg.
B)3 kg.
C)10 kg.
D)20 kg.

Question 20

What is the product of 12.56 and 2.12 expressed to the correct number of significant figures?

A)27
B)26.6
C)26.23
D)26.627

Question 21

A rectangular garden measures 15 m long and 13.70 m wide. What is the length of a diagonal from one corner of the garden to the other?

A)18 m
B)19 m
C)20 m
D)4.1 × 10² m

Question 22

What is the sum of 1.53 + 2.786 + 3.3 expressed to the correct number of significant figures?

A)7
B)7.6
C)7.62
D)7.616
E)7.6160

Question 23

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 of the rectangle should be written as

A)0.68 m²
B)0.682 m²
C)0.6818 m²
D)0.68175 m²

Question 24

Express the sum of 420.77, 13.821, and 2317.8 to the correct number of significant figures.

Question 25

What is $\sqrt { \frac { 4.302 ( 15.6 - 1.2 ) } { 22.1 + 19.4 } }$ expressed to the correct number of significant figures?

Question 26

The length and width of a rectangle are 1.125 m and 0.606 m, respectively. You calculate the rectangle's perimeter by adding these numbers and multiplying by two. Your calculator's display reads 3.462. To the correct number of significant figures, the perimeter should be written as

A)3.5 m.
B)3.46 m.
C)3.462 m.
D)3.4620 m.

Question 27

Add the following lengths, each obtained from a different measuring instrument, and round the answer to the proper number of significant figures: 20.02 m, 5.91 m, 0.0097 m, and 2.467 m.

Question 28

What is the result, expressed to the proper number of significant figures, of adding 23.4 to 91.237 and then subtracting 23.4?

A)91.237
B)91.2
C)91.3
D)91.0
E)91

Question 29

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

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

Question 30

If a circle has a radius of 1.109 m, what is its area expressed to the correct number of significant figures?

A)3.86 m²
B)3.863 m²
C)3.864 m²
D)3.8638 m²
E)3.86379 m²

Question 31

Express the result of the following calculation to the proper number of significant figures: 50.19 - 7966 × 10^-3.

Question 32

Express the result of the following calculation, in scientific notation, to the proper number of significant figures: $\frac { 395600.1 } { 6.72 }$ + 19

Question 33

Add $1299 \mathrm {~g}$ and $45.1 \mathrm {~kg}$ and express your answer in milligrams (mg)to the correct number of significant figures.

A)4.64 × 10⁷ mg
B)4.64 × 10⁴ mg
C)4.64 × 10⁵ mg
D)4.64 × 10⁶ mg

Question 34

What is the quotient of 2.43 ÷ 4.561 expressed to the correct number of significant figures?

A)5.3278 × $10 ^ { - 1 }$
B)5.328 × $10 ^ { - 1 }$
C)5.33 × $10 ^ { - 1 }$
D)5.3 × $10 ^ { - 1 }$

Question 35

The last page of a book is numbered 764. The book is 3.0 cm thick, not including its covers. What is the average thickness (in centimeters)of a page in the book, rounded to the proper number of significant figures?

A)0.0039 cm
B)0.072 cm
C)0.0079 cm
D)0.00393 cm
E)0.00785 cm

Question 36

What is the sum of 2.67 + 1.976 + 2.1 expressed to the correct number of significant figures?

A)6.7
B)6.75
C)6.746
D)6.7460

Question 37

What is the difference between 103.5 and 102.24 expressed to the correct number of significant figures?

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

Question 38

A dog has three puppies. Spot weighs 12 ounces. Rascal weighs 9.5 ounces. Socks weighs 10.2 ounces. What is the total weight of the litter expressed to the correct number of significant figures?

A)31.7 ounces
B)31 ounces
C)32 ounces
D)30 ounces
E)31.70 ounces

Question 39

What is $\frac { 0.674 } { 0.74 }$ expressed to the correct number of significant figures?

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

Question 40

A train travels at a constant speed of 60.4 mi/h for 101.5 min. What distance does the train cover expressed to the correct number of significant figures?

A)100 mi
B)102 mi
C)102.2 mi
D)102.18 mi
E)102.181 mi

Question 41

Write out the number 8.42 × 10^-5 in full with a decimal point and correct number of zeros.

A)0.00000842
B)0.0000842
C)0.000842
D)0.00842

Question 42

Which one of the following numbers is equivalent to the number 0.0001776?

A)1.776 × 10^-4
B)17.76 × 10^-3
C)1776 × 10^-5
D)177.6 × 10^-7

Question 43

What is the result of the calculation (0.410 + 0.021)× (2.20 × 10³)?

A)880
B)946
C)948
D)950

Question 44

A volume of 100 mL is equivalent to which one of the following volumes?

A)1 kL
B)10^-6 μL
C)0.1 L
D)0.01 ML

Question 45

Express (2.2 × 10⁶)^-1/2 in scientific notation.

A)6.7 × 10^-4
B)1.5 × 10³
C)1.5 × 10^-5
D)1.5 × 10⁴

Question 46

An area of 1.00 × 10² cm² is how many square meters?

A)1.00 m²
B)1.00 × 10² m²
C)1.00 × 10^-2 m²
D)1.00 × 10⁴ m²
E)1.00 × 10^-3 m²

Question 47

To get to her physics class, Alice walks 0.25 mi to the bus stop. She takes the bus 1.2 mi to the train station. She takes the train 13 mi and walks the remaining 0.17 mi to her class. How far is her commute expressed to the correct number of significant figures?

A)14.6 mi
B)10 mi
C)15 mi
D)14.62 mi
E)14.620 mi

Question 48

A weight lifter can bench press $171 \mathrm {~kg} .$ How many milligrams is this?

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

Question 49

The number 0.00325 × 10^-8 cm can be expressed in millimeters 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.

Question 50

The quantity 0.00325 × 10^-8 cm is equivalent to

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 51

Express the number 13.5 gigameters in meters without using scientific notation.

A)135,000 m
B)135,000,000 m
C)135,000,000,000 m
D)13,500,000,000 m

Question 52

The volume of a 10-mL test tube is equivalent to which one of the following quantities?

A)0.01 L
B)0.001 kL
C)0.1 L
D)1 × 10^-6 L
E)0.001 ML

Question 53

Express the sum 1.00 kg + 1531 g + 2.54 × 10⁴ mg in kilograms with the correct number of significant figures.

A)2.56 kg
B)27.9 kg
C)2.53 kg
D)2.79 kg

Question 54

Using a digital balance the mass of a certain piece of wood is read as 12.946 g. Thinking in terms of accuracy and significant figures, what value would you record on your data sheet if the balance is accurate to one-tenth of a gram?

A)12.9 g
B)12.95 g
C)13 g
D)13.0 g

Question 55

Which of the following numbers is the smallest?

A)15 × 10^-3
B)0.15 × 10⁰
C)0.00015 × 10³
D)0.00000015 × 10⁶

Question 56

A traveler has about $536 in his checking account, about $2107 in his savings account and exactly $7.62 in his wallet. To the greatest precision warranted, how much money does this shopper have?

A)$2651
B)$2,650
C)$2,650.6
D)$2,650.62
E)$2,650.620

Question 57

What is 56 + $\frac { 32.00 } { 1.2465 + 3.45 }$ written with the correct number of significant figures?

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

Question 58

How many nanoseconds does it take for a computer to perform one calculation if it performs $6.7 \times 10 ^ { 7 }$ calculations per second?

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

Question 59

The prefix yotta (Y)signifies a multiple of 10²⁴. How many yottameters are there in a gigameter?

Question 60

A certain $\text { CD-ROM }$ disk can store 600 megabytes of information. 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 61

A person on a diet loses $1.6 \mathrm {~kg}$ in a week. How many micrograms per second (?g/s)are lost?

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

Question 62

The wavelength of the light from a certain laser is $0.66 \text { microns, }$ where $1 \mathrm { micron } = 1.0 \times 10 ^ { - 6 } \mathrm {~m} .$ What is this wavelength in nanometers? (1 nm = 10^-9m)

A)6.6 × 10² nm
B)6.6 × 10³ nm
C)6.6 × 10¹ nm
D)6.6 × 10⁴ nm

Question 63

A plot of land contains $5.8 \text { acres. }$ How many square meters does it contain? (1.0 acre = 43,560 ft² and 2.54 cm = 1.00 in.)

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

Question 64

Given that 1.00 in. = 2.54 cm and 1.00 yd = 36.0 in., how many meters are in 7.00 yd?

A)6.40 m
B)36.3 m
C)640 m
D)1.78 × 10³ m

Question 65

Hydraulicists often express rainfall in acre-feet. This is the amount of water required to cover an area of one acre to a depth of one foot. There are 640.0 acres in a square mile, and 5280 feet in one mile. How many cubic feet are there in one acre-foot?

Question 66

A jar of peanut butter costs $3.29. Express its price in dekadollars and decidollars.

A)0.329 dekadollars; 0.329 decidollars
B)32.9 dekadollars; 0.329 decidollars
C)329 dekadollars; 32.9 decidollars
D)0.329 dekadollars; 32.9 decidollars
E)32.9 dekadollars; 329 decidollars

Question 67

Given that 1.00 in. = 2.54 cm, how many square centimeters are in 1.00 square inch?

A)1.59
B)2.54
C)5.08
D)6.45

Question 68

A speed of 60 mi/h is closest to which of the following? (2.54 cm = 1.00 in.)

A)60 m/s
B)20 m/s
C)30 km/h
D)120 m/s
E)30 m/s

Question 69

The following conversion equivalents are given: 1.00 gal = 231 $i n ^ { 3 }$ 1.0 ft = 12 in 1.0 min = 60 s
If a pipe delivers water at the rate of 95 gal/min, its rate of flow in ft³/s is closest to

A)0.21 ft³/s.
B)0.19 ft³/s.
C)0.17 ft³/s.
D)0.15 ft³/s.
E)0.14 ft³/s.

Question 70

Which of the following speeds is greatest? (2.54 cm = 1.00 in.)

A)10 km/h
B)10 m/s
C)10 ft/s
D)10 mi/h
E)10 yd/s

Question 71

The following conversion equivalents are given: 1.0 m = 100 cm 1.0 in = 2.54 cm 1.0 ft = 12 in
If a bin has a volume of 1.5 m³, the volume of the bin, in ft³, is closest to

A)35 ft³
B)41 ft³
C)47 ft³
D)53 ft³
E)59 ft³

Question 72

The density of water is 1.00 g/cm³. What is its density in kg/m³?

Question 73

The following conversion equivalents are given: 1.0 mile = 5280 ft 1.0 ft = 12 in 1 m = 39.37 in
1.0 hour = 60 min 1.0 min = 60 s
If a deer runs at 4.7 mi/h, its speed, in meters per second, is closest to

A)2.1 m/s.
B)1.7 m/s.
C)1.9 m/s.
D)2.3 m/s.
E)2.5 m/s.

Question 74

A typical ruby-throated hummingbird is 8 cm long. Express its length in millimeters and micrometers (µm).

A)80 mm; 800 µm
B)80 mm; 80,000 µm
C)800 mm; 0.008 µm
D)800 mm; 0.8 µm
E)0.8 mm; 8000 µm

Question 75

A light-year (ly)is the distance that light travels in one year. The speed of light is 3.00 × 10⁸ m/s. How many miles are there in 1.00 ly? (1.00 mi = 1.609 km and one year is 365.25 days.)

A)2.87 × 10¹³ mi
B)9.46 × 10¹⁵ mi
C)5.88 × 10¹⁵ mi
D)9.46 × 10¹² mi
E)5.88 × 10¹² mi

Question 76

Express 50 mi/h in units of meters per second. (1 mi = 1609 m)

A)49 m/s
B)2.2 m/s
C)22 m/s
D)45 m/s

Question 77

There are 640 acres in a square mile, 5280 ft in one mile, and 3.28 ft in one meter. How many acres are there in a hectare, which is a square one hundred meters on each side?

Question 78

A jogger has a mass of 50 kg. Express her mass in grams and micrograms (µg).

A)50,000 g; 5 ×10⁶ µg
B)500,000 g; 500 × 10⁶ µg
C)500,000 g; 5000 µg
D)50,000 g; 5 × 10¹⁰ µg
E)50,000 g; 50,000 µg

Question 79

There are 2.00 dry pints to 1.00 dry quart, 8.00 dry quarts to 1.00 peck, 4.00 pecks to 1.00 bushel. An organic farmer wants to pick enough berries to fill 40,000 pint containers. How many bushels of berries does the farmer need?

Question 80

If you are 5'10'' tall, what is your height in meters? (2.54 cm = 1.00 in.)

A)1.5 m
B)1.6 m
C)1.7 m
D)1.8 m