Astronomy
1st Edition
ISBN: 9781938168284
Author: Andrew Fraknoi; David Morrison; Sidney C. Wolff
Publisher: OpenStax
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Chapter 25, Problem 19E
The Sun orbits the center of the Galaxy in 225 million years at a distance of 26,000 light-years. Given that
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Recent findings in astrophysics suggest that the observable universe can be modeled as a sphere of radius R=13.7x109 light-years=13.0 x 1025m with an average total mass density of about 1x10-26 kg/m3 Only about 4% of total mass is due to “ordinary” matter (such as protons, neutrons, and electrons). Estimate how much ordinary matter (in kg) there is in the observable universe. (For the light-year, see Problem 19.)
question 1: parts A, B, and C please
For a circular velocity profile of the type (r) = ar¹/9, where a is a constant and r is the radial distance from the centre of a spiral galaxy, find the ratio
K(r)/(r), where K(r) is the epicyclic frequency and 2(r) is the angular velocity. Enter your answer to 2 decimal places.
Chapter 25 Solutions
Astronomy
Ch. 25 - Explain why we see the Milky Way as a faint band...Ch. 25 - Explain where in a spiral galaxy you would expect...Ch. 25 - Describe several characteristics that distinguish...Ch. 25 - Briefly describe the main parts of our Galaxy.Ch. 25 - Describe the evidence indicating that a black hole...Ch. 25 - Explain why the abundances of heavy elements in...Ch. 25 - What will be the long-term future of our Galaxy?Ch. 25 - Suppose the Milky Way was a band of light...Ch. 25 - Suppose somebody proposed that rather than...Ch. 25 - The globular clusters revolve around the Galaxy in...
Ch. 25 - Shapley used the positions of globular clusters to...Ch. 25 - Consider the following five kinds of objects: open...Ch. 25 - The dwarf galaxy in Sagittarius is the one closest...Ch. 25 - Suppose three stars lie in the disk of the Galaxy...Ch. 25 - Why does star formation occur primarily in the...Ch. 25 - Where in the Galaxy would you expect to find Type...Ch. 25 - Suppose that stars evolved without losing...Ch. 25 - Assume that the Sun orbits the center of the...Ch. 25 - The Sun orbits the center of the Galaxy in 225...Ch. 25 - Suppose the Sun orbited a little farther out, but...Ch. 25 - We have said that the Galaxy rotates...Ch. 25 - If our solar system is 4.6 billion years old, how...Ch. 25 - Suppose the average mass of a star in the Galaxy...Ch. 25 - The first clue that the Galaxy contains a lot of...Ch. 25 - The best evidence for a black hole at the center...Ch. 25 - The next step in deciding whether the object in...Ch. 25 - Suppose the Sagittarius dwarf galaxy merges...
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- The Tully-Fischer method relies on being able to relate the mass of a galaxy to its rotation velocity. Stars in the outer-most regions of the Milky Way galaxy, located at a distance of 50 kpc from the galactic centre, are observed to orbit at a speed vrot = 250 km s−1. Using Kepler’s 3rd Law, determine the mass in the Milky Way that lies interior to 50 kpc. Express your answer in units of the Solar mass.arrow_forwardA light year (LY) is the distance that light travels in one year. 1 LY = 9.46x1015 m. Suppose we have detected a planet that orbits a star that is 104 light years away. How many millions of years would it take us to get there if we used a modern rocket with a maximum speed of 20.0 km/s (about 45,000 mph)? Assume 3 sig figs.arrow_forwardFor a circular velocity profile of the type (r) = αν ar³/6, where a is a constant and is the radial distance from the centre of a spiral galaxy, find the ratio (r)/(r), where (r) is the epicyclic frequency and 2(r) is the angular velocity. Enter your answer to 2 decimal places.arrow_forward
- Suppose we find an Earth-like planet around one of our nearest stellar neighbors, Alpha Centauri (located only 4.4 light-years away). If we launched a "generation ship" at a constant speed of 1500.00 km/s from Earth with a group of people whose descendants will explore and colonize this planet, how many years before the generation ship reached Alpha Centauri? (Note there are 9.46 ××1012 km in a light-year and 31.6 million seconds in a year.arrow_forwardThe distance of a galaxy is of the order of 1025 m. Calculate the order of magnitude of time taken by light to reach us from the galaxy.arrow_forwardgiven: a (distance to center of galaxy in AU) = 1,717,914,439 AU P (suns orbital period in years) = 203,782,828.3 years M (mass of milky way galaxy in solar masses) = 1.22 x 10^11 Msun Question: Assume the Milky Way Galaxy is made up entirely of stars like the Sun, i.e. on average each star has the mass of 1 MSun. Under this assumption, approximately how many stars are there in our galaxy? Express this answer in billions of stars (1 billion = 109).arrow_forward
- A star is 1.0 x 104 ly (light-years) from the center of its galaxy and is moving in a circle around that center at a speed of 110 km/s. (a) How long does it take the star to make one revolution about the galactic center? (b) How many revolutions has the star completed since it was formed about 5.6 x 109 years ago?arrow_forwardThe difference in absolute magnitude between two objects at the same distance is related to their fluxes by the flux-magnitude relation. FA FB = 2.51(MB − MA) A distant galaxy contains a type I classical Cepheid whose period results in an absolute magnitude estimate of −6.3. If this star were placed next to our Sun (M = +4.8) and you observed them both from the same distance, how much more flux would the Cepheid emit than the Sun? FCepheid FSun = If a galaxy contains a supernova that at its brightest has an apparent magnitude of +11, how far away is the galaxy? Assume that the absolute magnitude of the supernova is −18. Hint: Use the magnitude-distance formula: d = 10(mV − MV + 5)/5 . The hydrogen Balmer line H? has a wavelength of 486.1 nm. It is shifted to 559.7 nm in a quasar's spectrum. What is the redshift of this quasar? (Hint: What is Δ??)arrow_forwardThe Sun has an orbital speed of about 220 kms−1 around the centre of the Galaxy, whose distance is 28 000 light years. Estimate the total mass of the Galaxy in solar masses.arrow_forward
- A star, which is 2.1 x 1020 m from the center of a galaxy, revolves around that center once every 2.8 x 108 years. Assuming each star in the galaxy has a mass equal to the Sun's mass of 2.0 x 1030 kg, the stars are distributed uniformly in a sphere about the galactic center, and the star of interest is at the edge of that sphere, estimate the number of stars in the galaxy.arrow_forwardOur sun was born approximately 4.6 billion years ago. How many journeys around the centre of our galaxy has the sun made? 21 25 35 50arrow_forwardA star, which is 2.2 x 1020 m from the center of a galaxy, revolves around that center once every 2.9 x 108 years. Assuming each star in the galaxy has a mass equal to the Sun's mass of 2.0 x 1030 kg, the stars are distributed uniformly in a sphere about the galactic center, and the star of interest is at the edge of that sphere, estimate the number of stars in the galaxy. Number Unitsarrow_forward
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