College Physics
OER 2016 Edition
ISBN: 9781947172173
Author: OpenStax
Publisher: OpenStax College
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Textbook Question
Chapter 34, Problem 19PE
Distances to the nearest stars (up to 500 by away) can be measured by a technique called parallax, as shown in Figure 34.26. What are the angles
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Problem 1
a. Derive an expression for the parallax angle as a function of the distance
to the observed object.
b. Based on this expression, is it easier to measure distances to nearby or
faraway objects?
Q15. The space observatory Gaia was launched in 2013 as the successor to
Hipparcos and is returning data on its ambitious mission to catalog the 3-
dimensional position of more than 1 billion stars in the Milky Way. The
smallest parallax angle it can measure, for stars of at least magnitude 12, is
0.000008", What is the most distant star to which Gaia can measure parallax?
Q16. The center of our Galaxy is about 8,500 parsecs from Earth.
a. What would be the parallax angle of a star near the center of the
Galaxy?
b. Could this angle be measured by Hipparcos?
c. Could this angle be measured by Gaia?
Distances to the nearest stars (up to 500 ly away) can be measured by a technique called parallax, as shown . What are the angles θ1 and θ2 relative to the plane of the Earth’s orbit for a star 4.0 ly directly above the Sun?
Chapter 34 Solutions
College Physics
Ch. 34 - Explain why it only appears that we are at the...Ch. 34 - If there is no observable edge to the universe,...Ch. 34 - If the universe is infinite, does it have a...Ch. 34 - Another known cause of red shift in light is the...Ch. 34 - If some unknown cause of red shiftsuch as light...Ch. 34 - Olbers’s paradox poses an interesting question: If...Ch. 34 - If the cosmic microwave background radiation...Ch. 34 - The decay of one type of Kmeson is cited as...Ch. 34 - Distances to local galaxies are determined by...Ch. 34 - Distances to very remote galaxies are estimated...
Ch. 34 - If the smallest meaningful time interval is...Ch. 34 - Quantum gravity, if developed, would be an...Ch. 34 - Does observed gravitational lensing correspond to...Ch. 34 - Suppose you measure the red shifts of all the...Ch. 34 - What are gravitational waves, and have they yet...Ch. 34 - Is the event horizon of a black hole the actual...Ch. 34 - Suppose black holes radiate their mass away and...Ch. 34 - Discuss the possibility that star velocities at...Ch. 34 - How does relativistic time dilation prohibit...Ch. 34 - If neutrino oscillations do occur, will they...Ch. 34 - Lacking direct evidence of WIMPs as dark matter,...Ch. 34 - Must a complex system be adaptive to be of...Ch. 34 - State a necessary condition for a System to be...Ch. 34 - What is critical temperature Tc? Do all materials...Ch. 34 - Explain how good thermal contact with liquid...Ch. 34 - Not only is liquid nitrogen a cheaper coolant than...Ch. 34 - For experimental evidence particularly of...Ch. 34 - Discuss whether you think there are limits to what...Ch. 34 - Find the approximate mass of the luminous matter...Ch. 34 - Find the approximate mass of the dark and luminous...Ch. 34 - (a) Estimate the mass of the luminous matter in...Ch. 34 - If a galaxy is 500 Mly away from us, how fast do...Ch. 34 - On average, how far away are galaxies mat are...Ch. 34 - Our solar system orbits the center of the Milky...Ch. 34 - (a) What is the approximate speed relative to us...Ch. 34 - (a) Calculate The approximate age of the universe...Ch. 34 - Assuming a circular orbit for the Sun about the...Ch. 34 - (a) What is the approximate force of gravity on a...Ch. 34 - Andromeda galaxy is the closest large galaxy and...Ch. 34 - (a) A particle and its antiparticle are at rest...Ch. 34 - The average particle energy needed to observe...Ch. 34 - The peak intensity of the CMBR occurs at a...Ch. 34 - (a) What Hubble constant corresponds to an...Ch. 34 - Show that the velocity of a star orbiting its...Ch. 34 - The core of a star collapses during a supernova,...Ch. 34 - Using data from the previous problem, find the...Ch. 34 - Distances to the nearest stars (up to 500 by away)...Ch. 34 - (a) Use the Heisenberg uncertainty principle to...Ch. 34 - Construct Your Own Problem Consider a star moving...Ch. 34 - What is the Schwarzschild radius of a blank hole...Ch. 34 - Black holes with masses smaller than muse formed...Ch. 34 - Supermassive black holes are thought to exist at...Ch. 34 - Construct Your Own Problem Consider a supermassive...Ch. 34 - The characteristic length of entities in...Ch. 34 - If the dark matter in the Milky Way were composed...Ch. 34 - The critical mass density needed to just halt the...Ch. 34 - Assume the average density of the universe is 0.1...Ch. 34 - To get an idea of how empty deep spam is on the...Ch. 34 - A section of superconducting wire carries a...
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- If the parallax angle of a body is O.218 4 points arcseconds, then the distance of the body from the Earth in astronomical units is * 946169.7247 946,196.7247 94946497.2747 964149.7427 9 This is a required questionarrow_forwardDouble stars are stars which are close enough and move slowly enough that they orbit each other. Each star is located at the focus of the ellipse of its orbit around the other star. Consider a binary star system which has an average angular separation of 6.1" arc and a period of 87.3 years. The annual parallax of the stars, p, is 0.192"arc. We call the measure of the angular separation of the two stars, . [remember that 1 degree is divided into 60 'arc (read this as 60 minutes of arc) and each 1'arc is subdivided into 60"arc (read this as 60 seconds of arc)]. The distance to the binarystar system is calculated from its parallax , p, of 0.192"arc, which has been measured carefully over a period of the last 92 years. First we must calculate the distance to the binary system: D = 1/p where p is the parallax in seconds of arc giving D in parsecs. The distance, D = 1/p = ________ pc How many light years does this correspond to? (remember that 1 pc = 3.26 lt yr) D (in light…arrow_forwardExplain well, do both a and b part ( asap)arrow_forward
- What is the distance in light years 4 points from Earth to a star that makes a parallax angle of 2.0 arc angle? * O 0.15 LY 0.63 LY O 1.63 LY 1.53 LYarrow_forwardan object is a located at the following equatorial coordinates (J2000): 12h 27m 53.6s (right ascension), 12◦ 17' 36" (declination). An observatory is located at the geographical coordinates 37.23◦N and 2.55◦W.Is the object observable from the observatory?arrow_forwardA star has an element in its atmosphere that normally emits a line of frequency fs = 7.5 x 10^14 vib/s. If astronomers measure the frequency of this line to be fo = 7.7 x 10^14 vib/s, then how fast are the Earth and this star traveling relative to each other? Remember that the correct equation for the speed v is given by v = [(fo^2 - fs^2) / (fo^2 + fs^2)] c Remember fo^2 means "fo squared."arrow_forward
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- Problem A.3: Magnitude of Stars The star Sirius has an apparent magnitude of -1.46 and appears 95 times brighter compared to the more distant star Tau Ceti, which has an absolute magnitude of 5.69. (a) Explain the terms apparent magnitude, absolute magnitude and bolometric magnitude. (b) Calculate the apparent magnitude of the star Tau Ceti. (c) Find the distance between the Earth and Tau Ceti.arrow_forwardSam is an astronomer on planet Hua, which orbits the distant star Barnard. It has recently been accepted that Hua is spherical in shape, although its exact size is unknown. While studying in the library, in the city of Joy, Sam learns that during equinox, Barnard is directly overhead in the city of Bar, located 1500.0 km north of his location. On the equinox, Sam goes outside and measures the altitude of Barnard at 83 degrees. What is the radius of Hua in km?arrow_forward= 2000 K and a radius of R, A young recently formed planet has a surface temperature T Jupiter radii (where Jupiter's radius is 7 x 107 m). Calculate the luminosity of the planet and 2 determine the ratio of the planet's luminosity to that of the Sun.arrow_forward
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