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Pearson Physics

James S. Walker

Chapter 1

Introduction to Physics - all with Video Answers

Educators

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Chapter Questions

01:22

Problem 1

How do you verify a scientific hypothesis?

Hubert Agamasu
Hubert Agamasu
Numerade Educator
00:59

Problem 2

How are the fundamental laws and principles of physics related to the complexity that we see in nature?

James Kiss
James Kiss
Numerade Educator
02:29

Problem 3

How do the laws of physics apply to other sciences such as biology, chemistry, and earth science? Give a specific example to show the connection.

Susan Hallstrom
Susan Hallstrom
Numerade Educator
01:30

Problem 4

Einstein's most famous equation is $E=m c^{2}$. In this equation, $E$ stands for energy, $m$ stands for mass, and $c$ stands for the speed of light. Use algebra to solve this equation for the mass. That is, complete this equation:
$$
m=?
$$

Supratim Pal
Supratim Pal
Numerade Educator
01:59

Problem 5

What makes the metric system so convenient for science?

Prabhakar Kumar
Prabhakar Kumar
Numerade Educator
01:55

Problem 6

What is a bias? Why should biases be avoided?

Prabhakar Kumar
Prabhakar Kumar
Numerade Educator
01:18

Problem 7

What is meant by peer review?

Prabhakar Kumar
Prabhakar Kumar
Numerade Educator
01:15

Problem 8

How many meters are in 15 kilometers?

Narayan Hari
Narayan Hari
Numerade Educator
01:05

Problem 9

How many kilometers are in 12,000 meters?

Narayan Hari
Narayan Hari
Numerade Educator
01:40

Problem 10

What is the length of an $E$. coli bacterium in kilometers?

Prabhakar Kumar
Prabhakar Kumar
Numerade Educator
02:04

Problem 11

A minivan sells for 33,200 dollars. Give the price of the minivan in (a) kilodollars and (b) megadollars.

Narayan Hari
Narayan Hari
Numerade Educator
01:42

Problem 12

A honeybee flaps its wings 200 times per second. How much time is required for one wingbeat? Give your answer in milliseconds.

Narayan Hari
Narayan Hari
Numerade Educator
View

Problem 13

What is the volume of the warehouse in cubic meters if its length is $0.012 \mathrm{~km}$ and the other dimensions are unchanged?

Gregory Devenport
Gregory Devenport
Numerade Educator
01:09

Problem 14

How many milliliters are in $1.2 \mathrm{~L} ?(1 \mathrm{~mL}=0.001 \mathrm{~L})$

Narayan Hari
Narayan Hari
Numerade Educator
02:16

Problem 15

The Star of Africa, a diamond in the royal scepter of the British crown jewels, has a mass of $530.2$ carats, where 1 carat $=0.20 \mathrm{~g}$. Given that $1 \mathrm{~kg}$ has a weight of $2.21 \mathrm{lb}$, what is the weight of the Star of Africa in pounds?

Prabhakar Kumar
Prabhakar Kumar
Numerade Educator
01:16

Problem 16

What are the SI base units for mass, length, and time?

Narayan Hari
Narayan Hari
Numerade Educator
01:16

Problem 17

What does the prefix kilo (k) mean? How can this prefix be used to modify the description of an obstacle course that is $1450 \mathrm{~m}$ long?

Prabhakar Kumar
Prabhakar Kumar
Numerade Educator
03:09

Problem 18

Why must all terms in a physics equation have the same dimensions?

Prabhakar Kumar
Prabhakar Kumar
Numerade Educator
02:40

Problem 19

What is the difference between a unit and a dimension? Give an example of each to illustrate your point.

Prabhakar Kumar
Prabhakar Kumar
Numerade Educator
01:12

Problem 20

The speed of light in a vacuum is approximately $0.3 \mathrm{Gm} / \mathrm{s}$. What is the speed of light in meters per second?

Narayan Hari
Narayan Hari
Numerade Educator
02:42

Problem 21

Many highways in the United States have a speed limit of $65 \mathrm{mi} / \mathrm{h}$.
(a) Is this speed greater than, less than, or equal to
$65 \mathrm{~km} / \mathrm{h}$ ? Explain.
(b) Find the speed limit in kilometers per hour that corresponds to $65 \mathrm{mi} / \mathrm{h}$.

Prabhakar Kumar
Prabhakar Kumar
Numerade Educator
03:05

Problem 22

Show that the equation $v_{\mathrm{f}}=v_{\mathrm{i}}+a t$ is dimensionally consistent. In this equation, $v_{\mathrm{f}}$ and $v_{\mathrm{i}}$ are velocities, $a$ is an acceleration, and $t$ is time.

Prabhakar Kumar
Prabhakar Kumar
Numerade Educator
01:19

Problem 23

How long does it take for the tortoise to walk $17 \mathrm{~cm}$ ?

Prabhakar Kumar
Prabhakar Kumar
Numerade Educator
01:09

Problem 24

What is the area of a circle with a radius of $12.77 \mathrm{~m}$ ? Recall that the area of a circle is given by area $=\pi$ (radius) $^{2}$.

Narayan Hari
Narayan Hari
Numerade Educator
01:15

Problem 25

The triangular sail on a boat has a height of $4.1 \mathrm{~m}$ and a base of $6.15 \mathrm{~m}$. What is the area of the sail? Recall that the area of a triangle is given by area $=\frac{1}{2}$ (base)(height).

Narayan Hari
Narayan Hari
Numerade Educator
01:14

Problem 26

On a fishing trip you catch a bass, a rock cod, and a salmon with masses of $1.07 \mathrm{~kg}, 6.0 \mathrm{~kg}$, and $6.05 \mathrm{~kg}$, respectively. What is the total mass of your catch?

Narayan Hari
Narayan Hari
Numerade Educator
01:20

Problem 27

What is the perimeter of a sheet of paper that is $25.2 \mathrm{~cm}$ tall and $18.1 \mathrm{~cm}$ wide?

Narayan Hari
Narayan Hari
Numerade Educator
01:59

Problem 28

How many significant figures are there in (a) $0.000054$ and
(b) $3.001 \times 10^{5}$ ?

Yaqub Khan
Yaqub Khan
Numerade Educator
02:03

Problem 29

The first six digits of the square root of 2 are $1.41421$. What is the square root of 2 to four significant figures?

Narayan Hari
Narayan Hari
Numerade Educator
01:51

Problem 30

Give three examples of a physical quantity.

Narayan Hari
Narayan Hari
Numerade Educator
02:10

Problem 31

The height of a picture frame is known to three significant figures, and the width is known to two significant figures. How many significant figures are there in the area of the picture frame?

Prabhakar Kumar
Prabhakar Kumar
Numerade Educator
01:37

Problem 32

How can a speed of $100 \mathrm{~m} / \mathrm{s}$ be written so that it has three significant figures?

Prabhakar Kumar
Prabhakar Kumar
Numerade Educator
02:04

Problem 33

How are speed and velocity similar? How are they different?

Prabhakar Kumar
Prabhakar Kumar
Numerade Educator
01:43

Problem 34

A poster is $0.95 \mathrm{~m}$ high and $1.0 \mathrm{~m}$ wide. How many digits follow the decimal point when the perimeter of the poster is expressed with the correct number of significant figures?

Narayan Hari
Narayan Hari
Numerade Educator
01:00

Problem 35

The speed of light to five significant figures is $2.9979 \times 10^{8} \mathrm{~m} / \mathrm{s}$. What is the speed of light to three significant figures?

James Erikson
James Erikson
Numerade Educator
01:38

Problem 36

A school bus moves at $2.2 \mathrm{~m} / \mathrm{s}$ as it pulls away from a bus stop. What is the speed of the bus $20 \mathrm{~s}$ later, after its speed has increased by $5.225 \mathrm{~m} / \mathrm{s}$ ?

Narayan Hari
Narayan Hari
Numerade Educator
02:52

Problem 37

The height of a computer screen is $31.25 \mathrm{~cm}$, and its width is $47 \mathrm{~cm}$.
(a) Is the area of the screen known to one, two, three, or four significant figures?
(b) Calculate the area of the screen, giving your answer with the correct number of significant figures.

Prabhakar Kumar
Prabhakar Kumar
Numerade Educator
01:29

Problem 38

A parking lot is $144.3 \mathrm{~m}$ long and 47.66 m wide.
(a) What is the perimeter of the lot?
(b) What is its area?

Narayan Hari
Narayan Hari
Numerade Educator
02:26

Problem 39

What is an inference? A hypothesis?

Prabhakar Kumar
Prabhakar Kumar
Numerade Educator
02:00

Problem 40

What does it mean to say that a quantity is conserved?

Prabhakar Kumar
Prabhakar Kumar
Numerade Educator
01:37

Problem 41

Does a force cause motion or a change in motion?

Prabhakar Kumar
Prabhakar Kumar
Numerade Educator
03:24

Problem 42

The metric system is based on powers of ten. What is the advantage to such a system?

Prabhakar Kumar
Prabhakar Kumar
Numerade Educator
01:11

Problem 43

If a scientific report is published after peer review, does that guarantee that its conclusions are correct? Explain.

Crystal Wang
Crystal Wang
Numerade Educator
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Problem 44

Use dimensional analysis to determine which of the following expressions gives the area of a circle: Is it $\pi r^{2}$ or $2 \pi r$ ? Explain.

Eduard Sanchez
Eduard Sanchez
Numerade Educator
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Problem 45

If a distance $d$ has units of meters and a time $T$ has units of seconds, does the quantity $T+d$ make sense physically? What about the quantity $d / T$ ? Explain in both cases.

Eduard Sanchez
Eduard Sanchez
Numerade Educator
02:13

Problem 46

Is it possible for two quantities to (a) have the same units but different dimensions or (b) have the same dimensions but different units? Explain.

Crystal Wang
Crystal Wang
Numerade Educator
View

Problem 47

Which of the following quantities has the same dimension as a distance?
A. $v t$
B. $\frac{1}{2} a t^{2}$
C. $2 a t$
D. $v^{2} / a$
Note that $v$ is speed, $t$ is time, and $a$ is acceleration. Refer to Table $1.5$ for the corresponding dimensions.

Eduard Sanchez
Eduard Sanchez
Numerade Educator
View

Problem 48

Which of the following quantities has the same dimensions as a speed?
A. $\frac{1}{2} a t^{2}$
B. $a t$
C. $(2 x / a)^{1 / 2}$
D. $(2 a x)^{1 / 2}$
Note that $v$ is speed, $t$ is time, and $a$ is acceleration. Refer to Table $1.5$ for the corresponding dimensions.

Eduard Sanchez
Eduard Sanchez
Numerade Educator
01:51

Problem 49

A new movie earns $\$ 114,000,000$ in its opening weekend. Express this amount in (a) gigadollars and (b) teradollars.

Narayan Hari
Narayan Hari
Numerade Educator
01:24

Problem 50

Peacock mantis shrimps (Odontodactylus scyllarus) feed largely on snails. They shatter the shells of their prey by delivering a sharp blow with their front legs, which have been observed to reach a peak speed of $23 \mathrm{~m} / \mathrm{s}$. What is this speed in kilometers per hour?

Narayan Hari
Narayan Hari
Numerade Educator
01:11

Problem 51

The largest building in the world by volume is the Boeing 747 plant in Everett, Washington. It measures approximately $631 \mathrm{~m}$ long, $646 \mathrm{~m}$ wide, and $34 \mathrm{~m}$ high. What is its volume in cubic centimeters?

Narayan Hari
Narayan Hari
Numerade Educator
01:21

Problem 52

Radiation from a cesium-133 atom completes $9,192,631,770$ cycles each second. How long does it take for this radiation to complete $1.5$ million cycles?

Narayan Hari
Narayan Hari
Numerade Educator
01:13

Problem 53

The blue whale (Balaenoptera musculus) is thought to be the largest animal ever to inhabit Earth. The longest blue whale ever observed had a length of $33 \mathrm{~m}$. What is this length in millimeters?

Narayan Hari
Narayan Hari
Numerade Educator
01:04

Problem 54

A human hair has a thickness of about $70 \mu \mathrm{m}$. What is this thickness in (a) meters and (b) kilometers?

Narayan Hari
Narayan Hari
Numerade Educator
01:31

Problem 55

A supercomputer can do $136.8$ teracalculations per second. How many calculations can it do in a microsecond?

Narayan Hari
Narayan Hari
Numerade Educator
View

Problem 56

The American physical chemist Gilbert Newton Lewis (1875-1946) proposed a unit of time called the jiffy.
According to Lewis, 1 jiffy is the time it takes light to travel 1 centimeter. (a) If you perform a task in a jiffy, how long does it take in seconds? (b) How many jiffys are in 1 minute? Use the fact that the speed of light is approximately $3.00 \times 10^{8} \mathrm{~m} / \mathrm{s}$.

Eduard Sanchez
Eduard Sanchez
Numerade Educator
01:21

Problem 57

Suppose $1.0 \mathrm{~m}^{3}$ of oil is spilled into the ocean. Find the area of the resulting slick, assuming that it is one molecule thick and that each molecule occupies a cube $0.50 \mu \mathrm{m}$ on a side.

Narayan Hari
Narayan Hari
Numerade Educator
01:11

Problem 58

The acceleration due to gravity is approximately $9.81 \mathrm{~m} / \mathrm{s}^{2}$ (depending on your location). What is the acceleration due to gravity in centimeters per second squared?

Narayan Hari
Narayan Hari
Numerade Educator
View

Problem 59

Velocity can be related to acceleration and distance by the following equation: $v^{2}=2 a x^{p}$. Find the power $p$ that makes this equation dimensionally consistent.

Eduard Sanchez
Eduard Sanchez
Numerade Educator
01:48

Problem 60

Acceleration is related to distance and time by the following equation: $a=2 x t^{p}$. Find the power $p$ that makes this equation dimensionally consistent.

James Erikson
James Erikson
Numerade Educator
View

Problem 61

Give an order-of-magnitude estimate for the time in seconds of the following: (a) a year, (b) a baseball game, (c) a heartbeat, (d) the age of Earth, (e) your age.

Gregory Devenport
Gregory Devenport
Numerade Educator
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Problem 62

Give an order-of-magnitude estimate for the length in meters of the following: (a) your height, (b) a fly, (c) a car, (d) a jetliner, (e) an interstate highway stretching from coast to coast.

Gregory Devenport
Gregory Devenport
Numerade Educator
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Problem 63

The first several digits of $\pi$ are known to be $\pi=3.14159265358979 \ldots$. What is $\pi$ to (a) three significant figures and (b) five significant figures?

Eduard Sanchez
Eduard Sanchez
Numerade Educator
01:22

Problem 64

What is the area of a circle of radius $24.87 \mathrm{~m} ?$

Narayan Hari
Narayan Hari
Numerade Educator
00:37

Problem 65

Give a ballpark estimate of the number of seats in a typical Major League ballpark (see Figure 1.15). Show your reasoning.

James Kiss
James Kiss
Numerade Educator
01:47

Problem 66

Milk is often sold by the gallon in plastic containers.
(a) Estimate the number of gallon containers of milk that are purchased in the United States each year. (b) What approximate weight of plastic does this represent?

Dominador Tan
Dominador Tan
Numerade Educator
01:23

Problem 67

New York City is roughly $4800 \mathrm{~km}$ from Seattle. When it is 10:00 A.M. in Seattle, it is 1:00 P.M. in New York. Using this information, estimate (a) the rotational speed of the surface of Earth, (b) the circumference of Earth, and (c) the radius of Earth.

James Kiss
James Kiss
Numerade Educator
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Problem 68

Which of the following equations are dimensionally consistent?
A. $v=a t$
B. $v=\frac{1}{2} a t^{2}$
C. $t=a / v$
D. $v^{2}=2 a x$
Note that $v$ is speed, $t$ is time, and $a$ is acceleration. Refer to Table $1.5$ for the corresponding dimensions.

Eduard Sanchez
Eduard Sanchez
Numerade Educator
View

Problem 69

Which of the following quantities have the dimensions of an acceleration?
A. $x t^{2}$
B. $v^{2} / x$
C. $x / t^{2}$
D. $v / t$
Note that $v$ is speed, $t$ is time, and $a$ is acceleration. Refer to Table $1.5$ for the corresponding dimensions.

Eduard Sanchez
Eduard Sanchez
Numerade Educator
01:30

Problem 70

The light that plants absorb to perform photosynthesis has a wavelength that peaks near $675 \mathrm{~nm}$. Express this distance in (a) millimeters and (b) meters.

Narayan Hari
Narayan Hari
Numerade Educator
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Problem 71

On June 9,1983 , the lower part of the Variegated Glacier in Alaska (Figure 1.16) was observed to be moving at a rate of $64 \mathrm{~m}$ per day. What is this speed in kilometers per hour?

Gregory Devenport
Gregory Devenport
Numerade Educator
02:39

Problem 72

Male mosquitoes find female mosquitoes by listening for the characteristic "buzzing" frequency of the females' wingbeats. This frequency is about 605 wingbeats per second. (a) How many wingbeats occur in 1 minute?
(b) How many cycles of oscillation does the radiation from a cesium-133 atom complete during one mosquito wingbeat?

James Kiss
James Kiss
Numerade Educator
01:43

Problem 73

When Coast Guard pararescue jumpers leap from a helicopter to save a person in the water, they like to jump when the helicopter is flying "ten and ten," which means it is 10 feet above the water and moving forward with a speed of 10 knots. What is "ten and ten" in SI units? (A knot is 1 nautical mile per hour, and a nautical mile is $1.852 \mathrm{~km}$.)

James Kiss
James Kiss
Numerade Educator
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Problem 74

Type A nerve fibers in humans can conduct nerve impulses at speeds up to $140 \mathrm{~m} / \mathrm{s}$ (see Figure 1.17). (a) How fast are the nerve impulses moving in kilometers per hour? (b) How far (in meters) can the impulses travel in $5.0 \mathrm{~ms}$ ?

Eduard Sanchez
Eduard Sanchez
Numerade Educator
View

Problem 75

The mass of a newborn baby's brain has been found to increase by about $1.6 \mathrm{mg}$ per minute. (a) How much does the brain's mass increase in 1 day? (b) How long does it take for the brain's mass to increase by $0.0075 \mathrm{~kg}$ ?

Eduard Sanchez
Eduard Sanchez
Numerade Educator
03:07

Problem 76

On December 25,2004 , during a NASA mission to Saturn, the spacecraft Cassini released a probe named Huygens, which landed on the Saturnian moon Titan on January 14,2005 . Huygens was released from the main spacecraft at a gentle relative speed of $31 \mathrm{~cm} / \mathrm{s}$. As Huygens moved away, it rotated at a rate of seven revolutions per minute. (a) How many revolutions had Huygens completed when it was $150 \mathrm{~m}$ from Cassini?
(b) How far did Huygens move away from Cassini during each revolution? Give your answer in meters.

James Kiss
James Kiss
Numerade Educator
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Problem 77

Acceleration is related to velocity and time by the following expression: $a=v t^{p}$. Find the power $p$ that makes this equation dimensionally consistent.

Eduard Sanchez
Eduard Sanchez
Numerade Educator
View

Problem 78

The period $T$ of a simple pendulum is the amount of time required for it to undergo one complete oscillation. If the length of the pendulum is $L$ and the acceleration due to gravity is $g$, then the period is given by
$$
T=2 \pi L^{p} g^{q}
$$
Find the powers $p$ and $q$ required for dimensional consistency.

Eduard Sanchez
Eduard Sanchez
Numerade Educator
03:17

Problem 79

Write a short report on the metric system and SI units. What are some of the advantages of the metric system? What are some of the disadvantages of changing from a system like British units to the metric system? What are some of the countries that do and do not use the metric system?

Crystal Wang
Crystal Wang
Numerade Educator
02:13

Problem 80

Give several examples of how physics applies to chemistry, meteorology, and biology.
A Cricket Thermometer All chemical reactions, whether organic or inorganic, proceed at a rate that depends on temperature - the higher the temperature, the higher the rate of reaction. This can be explained in terms of molecules moving with increased energy as the temperature is increased and colliding with other molecules more frequently. In the case of organic reactions, the result is that metabolic processes speed up with increasing temperature.
An increased or decreased metabolic rate can manifest itself in a number of ways. For example, a cricket trying to attract a mate chirps at a rate that depends on the overall rate of its metabolism. As a result, the chirping rate of crickets depends directly on temperature. In fact, some people even use a pet cricket as a thermometer.

The cricket that is most accurate as a thermometer is the snowy tree cricket (Oecanthus fultoni Walker). Its rate of chirping is described by the following equation:
$$
\begin{aligned}
N &=\text { number of chirps in } 7.0 \text { seconds } \\
&=T-5.0
\end{aligned}
$$
In this expression, $T$ is the temperature in degrees Celsius.

James Erikson
James Erikson
Numerade Educator
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Problem 81

How many chirps will a snowy tree cricket give in 21 s at a temperature of $22{ }^{\circ} \mathrm{C} ?$
A. 17
B. 22
C. 27
D. 51

Gregory Devenport
Gregory Devenport
Numerade Educator
01:35

Problem 82

Which plot in Figure $1.18-\mathrm{A}, \mathrm{B}, \mathrm{C}, \mathrm{D}$, or $\mathrm{E}$-represents the chirping rate of the snowy tree cricket?

James Kiss
James Kiss
Numerade Educator
01:55

Problem 83

If the temperature is $15^{\circ} \mathrm{C}$, how many seconds does it take for the cricket to chirp 80 times?
A. 8
C. 56
B. 10
D. 80

Narayan Hari
Narayan Hari
Numerade Educator
View

Problem 84

Your pet cricket chirps 113 times in $1 \mathrm{~min}$. What is the temperature in degrees Celsius?
A. $8.2$
C. 18
B. 13
D. 113

Gregory Devenport
Gregory Devenport
Numerade Educator