Essential Cosmic Perspective
9th Edition
ISBN: 9780135795033
Author: Bennett
Publisher: PEARSON
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Chapter 2, Problem 10EAP
Briefly describe key facts about the solstices and equinoxes.
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Consider the series
M8
3
ཱ|༤༠
n=0
5n
a. Find the general formula for the sum of the first k terms. Your answer should be in terms of k.
Sk=3
1
5
5
k
b. The sum of a series is defined as the limit of the sequence of partial sums, which means
k
3
5n
1-
= lim
3
k→∞
n=0
4
15
4
c. Select all true statements (there may be more than one correct answer):
A. The series is a geometric series.
B. The series converges.
C. The series is a telescoping series (i.e., it is like a collapsible telescope).
D. The series is a p-series.
A uniform ladder of length L and weight w is leaning against a vertical wall. The coefficient of static friction between the ladder and the floor is the same as that between the ladder and the wall. If this
coefficient of static friction is μs : 0.535, determine the smallest angle the ladder can make with the floor without slipping.
°
=
A 14.0 m uniform ladder weighing 480 N rests against a frictionless wall. The ladder makes a 55.0°-angle with the horizontal.
(a) Find the horizontal and vertical forces (in N) the ground exerts on the base of the ladder when an 850-N firefighter has climbed 4.10 m along the ladder from the bottom.
horizontal force
magnitude
342.
N
direction
towards the wall
✓
vertical force
1330
N
up
magnitude
direction
(b) If the ladder is just on the verge of slipping when the firefighter is 9.10 m from the bottom, what is the coefficient of static friction between ladder and ground?
0.26
×
You appear to be using 4.10 m from part (a) for the position of the…
Your neighbor designs automobiles for a living. You are fascinated with her work. She is designing a new automobile and needs to determine how strong the front suspension should be. She knows of
your fascination with her work and your expertise in physics, so she asks you to determine how large the normal force on the front wheels of her design automobile could become under a hard stop,
ma
when the wheels are locked and the automobile is skidding on the road. She gives you the following information. The mass of the automobile is m₂ = 1.10 × 103 kg and it can carry five passengers of
average mass m = 80.0 kg. The front and rear wheels are separated by d = 4.45 m. The center of mass of the car carrying five passengers is dCM = 2.25 m behind the front wheels and
hcm = 0.630 m above the roadway. A typical coefficient of kinetic friction between tires and roadway is μk 0.840. (Caution: The braking automobile is not in an inertial reference frame. Enter the
magnitude of the force in N.)…
Chapter 2 Solutions
Essential Cosmic Perspective
Ch. 2 - Prob. 1VSCCh. 2 - Which of the four labeled points represents the...Ch. 2 - Which of the four labeled points represents the...Ch. 2 - The diagram exaggerates the sizes of Earth and the...Ch. 2 - Given that Earths actual distance from the Sun...Ch. 2 - As viewed from Earth, in which zodiac...Ch. 2 - If the date is April 21, what zodiac constellation...Ch. 2 - If the date is April 21, what zodiac constellation...Ch. 2 - Prob. 1EAPCh. 2 - Suppose you were making a model of the celestial...
Ch. 2 - On a clear, dark night, the sky may appear to be...Ch. 2 - Why does the local sky look like a dome? Define...Ch. 2 - Prob. 5EAPCh. 2 - What are circumpolar stars? Are more stars...Ch. 2 - What are latitude and longitude? Does the local...Ch. 2 - What is the zodiac, and why do we see different...Ch. 2 - Suppose Earth’s axis had no tilt. Would we still...Ch. 2 - Briefly describe key facts about the solstices and...Ch. 2 - What is precession? How does it affect our view of...Ch. 2 - Briefly describe the Moons cycle of phases. Can...Ch. 2 - Why do we always see the same face of the Moon?Ch. 2 - Why don’t we see an eclipse at every new and full...Ch. 2 - What do we mean by the apparent retrograde motion...Ch. 2 - Prob. 16EAPCh. 2 - Decide whether the statement makes sense (or is...Ch. 2 - Prob. 18EAPCh. 2 - Decide whether the statement makes sense (or is...Ch. 2 - Prob. 20EAPCh. 2 - Decide whether the statement makes sense (or is...Ch. 2 - Decide whether the statement makes sense (or is...Ch. 2 - Prob. 23EAPCh. 2 - Decide whether the statement makes sense (or is...Ch. 2 - Decide whether the statement makes sense (or is...Ch. 2 - Decide whether the statement makes sense (or is...Ch. 2 - Two stars that are in the same constellation (a)...Ch. 2 - The north celestial pole is 35° above your...Ch. 2 - Beijing and Philadelphia have about the same...Ch. 2 - In winter, Earth’s axis points toward the star...Ch. 2 - When it is summer in Australia, the season in the...Ch. 2 - If the Sun rises precisely due east. (a) you must...Ch. 2 - A week after full moon, the Moon’s phase is (a)...Ch. 2 - The fact that we always see the same face of the...Ch. 2 - If there is going to be a total lunar eclipse...Ch. 2 - When we see Saturn going through a period of...Ch. 2 - Cultural Constellations. Many cultures have...Ch. 2 - Group Discussion: Sharing the Sky. Astronomers...Ch. 2 - Prob. 39EAPCh. 2 - These questions may be answered individually in...Ch. 2 - These questions may be answered individually in...Ch. 2 - These questions may be answered individually in...Ch. 2 - These questions may be answered individually in...Ch. 2 - New Planet. A planet in another solar system has a...Ch. 2 - Your View of the Sky. a. What are your latitude...Ch. 2 - View from the Moon. Suppose you lived on the Moon,...Ch. 2 - View from the Sun. Suppose you lived on the Sun...Ch. 2 - Farther Moon. Suppose the distance to the Moon...Ch. 2 - Smaller Earth. Suppose Earth were smaller. Would...Ch. 2 - Project: Eclipse Trip. Find details about a future...Ch. 2 - Be sure to show all calculations clearly and state...Ch. 2 - Find the Sun’s Diameter. The Sun has an angular...Ch. 2 - Prob. 54EAPCh. 2 - Prob. 55EAP
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- John is pushing his daughter Rachel in a wheelbarrow when it is stopped by a brick 8.00 cm high (see the figure below). The handles make an angle of 0 = 17.5° with the ground. Due to the weight of Rachel and the wheelbarrow, a downward force of 403 N is exerted at the center of the wheel, which has a radius of 16.0 cm. Assume the brick remains fixed and does not slide along the ground. Also assume the force applied by John is directed exactly toward the center of the wheel. (Choose the positive x-axis to be pointing to the right.) (a) What force (in N) must John apply along the handles to just start the wheel over the brick? (No Response) N (b) What is the force (magnitude in kN and direction in degrees clockwise from the -x-axis) that the brick exerts on the wheel just as the wheel begins to lift over the brick? magnitude (No Response) KN direction (No Response) ° clockwise from the -x-axisarrow_forwardAn automobile tire is shown in the figure below. The tire is made of rubber with a uniform density of 1.10 × 103 kg/m³. The tire can be modeled as consisting of two flat sidewalls and a tread region. Each of the sidewalls has an inner radius of 16.5 cm and an outer radius of 30.5 cm as shown, and a uniform thickness of 0.600 cm. The tread region can be approximated as having a uniform thickness of 2.50 cm (that is, its inner radius is 30.5 cm and outer radius is 33.0 cm as shown) and a width of 19.2 cm. What is the moment of inertia (in kg. m²) of the tire about an axis perpendicular to the page through its center? 2.18 x Sidewall 33.0 cm 30.5 cm 16.5 cm Treadarrow_forwardA person on horseback is on a drawbridge which is at an angle = 20.0° above the horizontal, as shown in the figure. The center of mass of the person-horse system is d = 1.35 m from the end of the bridge. The bridge is l = 7.00 m long and has a mass of 2,300 kg. A cable is attached to the bridge 5.00 m from the frictionless hinge and to a point on the wall h = 12.0 m above the bridge. The mass of person plus horse is 1,100 kg. Assume the bridge is uniform. Suddenly (and most unfortunately for the horse and rider), the ledge where the bridge usually rests breaks off, and at the same moment the cable snaps and the bridge swings down until it hits the wall. ÚI MAJI A TLA MAJA AUTA (a) Find the angular acceleration (magnitude, in rad/s²) of the bridge once it starts to move. 2.22 Use the rotational analogue of Newton's second law. The drawbridge can be modeled as a rod, with rotation axis about one end. rad/s² (b) How long (in s) does the horse and rider stay in contact with the bridge…arrow_forward
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