Astronomy
1st Edition
ISBN: 9781938168284
Author: Andrew Fraknoi; David Morrison; Sidney C. Wolff
Publisher: OpenStax
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Chapter 4, Problem 4E
What are advantages and disadvantages of apparent solar time? How is the situation improved by introducing mean solar time and standard time?
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You are standing a distance x = 1.75 m away from this mirror. The object you are looking at is y = 0.29 m from the mirror. The angle of incidence is θ = 30°. What is the exact distance from you to the image?
For each of the actions depicted below, a magnet and/or metal loop moves with velocity v→ (v→ is constant and has the same magnitude in all parts). Determine whether a current is induced in the metal loop. If so, indicate the direction of the current in the loop, either clockwise or counterclockwise when seen from the right of the loop. The axis of the magnet is lined up with the center of the loop. For the action depicted in (Figure 5), indicate the direction of the induced current in the loop (clockwise, counterclockwise or zero, when seen from the right of the loop). I know that the current is clockwise, I just dont understand why. Please fully explain why it's clockwise, Thank you
A planar double pendulum consists of two point masses \[m_1 = 1.00~\mathrm{kg}, \qquad m_2 = 1.00~\mathrm{kg}\]connected by massless, rigid rods of lengths \[L_1 = 1.00~\mathrm{m}, \qquad L_2 = 1.20~\mathrm{m}.\]The upper rod is hinged to a fixed pivot; gravity acts vertically downward with\[g = 9.81~\mathrm{m\,s^{-2}}.\]Define the generalized coordinates \(\theta_1,\theta_2\) as the angles each rod makes with thedownward vertical (positive anticlockwise, measured in radians unless stated otherwise).At \(t=0\) the system is released from rest with \[\theta_1(0)=120^{\circ}, \qquad\theta_2(0)=-10^{\circ}, \qquad\dot{\theta}_1(0)=\dot{\theta}_2(0)=0 .\]Using the exact nonlinear equations of motion (no small-angle or planar-pendulumapproximations) and assuming the rods never stretch or slip, determine the angle\(\theta_2\) at the instant\[t = 10.0~\mathrm{s}.\]Give the result in degrees, in the interval \((-180^{\circ},180^{\circ}]\).
Chapter 4 Solutions
Astronomy
Ch. 4 - Discuss how latitude and longitude on Earth are...Ch. 4 - What is the latitude of the North Pole? The South...Ch. 4 - Make a list of each main phase of the Moon,...Ch. 4 - What are advantages and disadvantages of apparent...Ch. 4 - What are the two ways that the tilt of Earth’s...Ch. 4 - Why is it difficult to construct a practical...Ch. 4 - Explain why there are two high tides and two low...Ch. 4 - What is the phase of the Moon during a total solar...Ch. 4 - On a globe or world map, find the nearest marked...Ch. 4 - Explain three lines of evidence that indicate that...
Ch. 4 - What is the origin of the terms “a.m.” and “p.m.”...Ch. 4 - Explain the origin of the leap year. Why is it...Ch. 4 - Explain why the year 1800 was not a leap year,...Ch. 4 - What fraction of the Moon’s visible face is...Ch. 4 - Why don’t lunar eclipses happen during every full...Ch. 4 - Why does the Moon create tidal bulges on both...Ch. 4 - Why do the heights of the tides change over the...Ch. 4 - Explain how tidal forces are causing Earth to slow...Ch. 4 - Explain how tidal forces are causing the Moon to...Ch. 4 - Explain why the Gregorian calendar modified the...Ch. 4 - The term equinox translates as “equal night.”...Ch. 4 - The term solstice translates as “Sun stop.”...Ch. 4 - Why is the warmest day of the year in the United...Ch. 4 - When Earth’s Northern Hemisphere is tilted toward...Ch. 4 - Where are you on Earth if you experience each of...Ch. 4 - In countries at far northern latitudes, the winter...Ch. 4 - What is the phase of the Moon if it . . . A. rises...Ch. 4 - A car accident occurs around midnight on the night...Ch. 4 - The secret recipe to the ever-popular veggie...Ch. 4 - Your great-great-grandfather, who often...Ch. 4 - One year in the future, when money is no object,...Ch. 4 - Suppose you lived in the crater Copernicus on the...Ch. 4 - In a lunar eclipse, does the Moon enter the shadow...Ch. 4 - Describe what an observer at the crater Copernicus...Ch. 4 - The day on Mars is 1.026 Earth-days long. The...Ch. 4 - What is the right ascension and declination of the...Ch. 4 - What is the right ascension and declination of the...Ch. 4 - What is the right ascension and declination of the...Ch. 4 - During summer in the Northern Hemisphere, the...Ch. 4 - On the day of the vernal equinox, the day length...Ch. 4 - Regions north of the Arctic Circle are known as...Ch. 4 - In a part of Earth’s orbit where Earth is moving...Ch. 4 - In a part of Earth’s orbit where Earth is moving...Ch. 4 - If Sirius rises at 8:00 p.m. tonight, at what time...Ch. 4 - What are three lines of evidence you could use to...Ch. 4 - If the Moon rises at a given location at 6:00 p.m....Ch. 4 - Explain why some solar eclipses are total and some...Ch. 4 - Why do lunar eclipses typically last much longer...Ch. 4 - Suppose Earth took exactly 300.0 days to go around...Ch. 4 - Consider a calendar based entirely on the day and...Ch. 4 - If a star rises at 8:30 p.m. tonight,...Ch. 4 - What is the altitude of the Sun at noon on...Ch. 4 - Show that the Gregorian calendar will be in error...
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