The Cosmic Perspective Fundamentals (2nd Edition)
2nd Edition
ISBN: 9780133889567
Author: Jeffrey O. Bennett, Megan O. Donahue, Nicholas Schneider, Mark Voit
Publisher: PEARSON
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Chapter 10, Problem 12QQ
To determine
The way we can measure the mass of the black hole at the center of the Milky Way.
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Distribution of Dark matter
The most mass of our Milky Way is contained in an inner region close to the core with radius R0.Because the mass outside this inner region is almost constant, the density distribution can bewritten as following (assume a flat Milky Way with height z0):ρ(r) = (ρ0, r ≤ R00, r > R0(a) Derive an expression for the mass M(r) enclosed within the radius r.(b) Derive the expected rotational velocity of the Milky Way v(r) at a radius r.
When two galaxies collide, the stars inside them are not likely to be much affected, because the __________ stars is so large compared to their diameters. However, the _______ of stars and gas can be changed, altering the appearance of the galaxies. Astronomers have determined that such collisions are seen more often in ____________. When two galaxies of roughly equal size collide, astronomers call it a _______ of galaxies; but when a small galaxy collides with a much larger one, the process is called ___________. When a galaxy has a significant amount of its interstellar gas compressed by a collision, leading to the birth of many new stars, astronomers call it a __________ galaxy.
(b) Draw the shape of the Milky Way for a spaceship with a velocity of 20%, 50%, and 90% of the
speed of light in the figure below (Note: The ring shape for a resting spaceship is already drawn.):
1.00
0.75
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0.25
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-0.25
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-0.75
-1.00
-2.0
-1.5
-1.0
-8.5
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Chapter 10 Solutions
The Cosmic Perspective Fundamentals (2nd Edition)
Ch. 10 - Prob. 1QQCh. 10 - Prob. 2QQCh. 10 - Prob. 3QQCh. 10 - Prob. 4QQCh. 10 - Prob. 5QQCh. 10 - Prob. 6QQCh. 10 - Prob. 7QQCh. 10 - Choose the best answer to each of the following....Ch. 10 - Prob. 9QQCh. 10 - Choose the best answer to each of the following....
Ch. 10 - Prob. 11QQCh. 10 - Prob. 12QQCh. 10 - Explain all answers clearly, with complete...Ch. 10 - Explain all answers clearly, with complete...Ch. 10 - Prob. 15SEQCh. 10 - Prob. 16SEQCh. 10 - Prob. 17SEQCh. 10 - Prob. 18SEQCh. 10 - Prob. 19SEQCh. 10 - Explain all answers clearly, with complete...
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- 5) A black hole in the center of a nearby Galaxy has a Schwarzchild radius of 2.0*10^7 km. How many times more massive than Sagittarius A* (~4*10^6 solar masses) is said black hole ?arrow_forwardA Type la supernova explodes in a galaxy at a distance of 6.10×107 light-years from Earth. If astronomers detect the light from the supernova today, how many years T have passed since the supernova exploded? T= 2.07 x10 -5 years Given a Hubble constant of 74.3 km/s/Mpc, at what speed v is this galaxy moving away from Earth? v= km/s What is this galaxy's redshift? redshift:arrow_forwardObservations of quasars have shown us that many are extremely _________, emitting more energy than all the stars in a galaxy. The energy they give off comes from a very small volume, typically about the size of ___________. Some have long ______, shooting off in opposite directions. Today, astronomers understand that all the properties of quasars can be explained if they are __________ at the centers of galaxies. Astronomers can use _____________ to study images and spectra of the central regions of galaxies more clearly than earlier instruments.arrow_forward
- 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_forwardAll Radio Galaxies have the following number of plasma jets and lobes a) 2 b) 5 c) 1 d) 4 e)7arrow_forwardThe supermassive black hole at the center of the NGC 4261 galaxy is thought to have a mass of 1 billion suns. Calculate its Schwarzschild radius and compare it with the size of our solar system.arrow_forward
- The gas in the outer region of the Andromeda galaxy is found to be orbiting the galaxy with a velocity of 250 km/s. The gas is at a distance of 35 kpc from the center of the galaxy. The total mass of the galaxy is _______ solar masses.arrow_forwardFigure 2 shows the "rotation curve" of NGC 2742. It plots the “radial velocity (V)" (how fast material is moving either toward or away from us) that is measured for objects at different distances (R = radius") from the center of the galaxy. The center of the galaxy is at 0 kpc (kiloparsecs) with a speed of 9 km/sec away from us. (These velocities have been corrected for the observed tilt of the galaxy and represent true orbital velocities of the stars and gas.) 200 100 U4779 -100 As you can see, one side of the galaxy is moving with a negative velocity (spinning toward us), while the other side has a positive velocity (spinning away from us). Using Newton's gravity equation, we will be able to determine the gravitational mass of the entire galaxy and how the mass varies versus distance from the galaxy's center. -200 -8 8 -4 Radius (kpc) Read the following text carefully and follow the instructions: Select five radii spaced evenly from 0-10 kpc across the galaxy. Your selections should…arrow_forwardThe best evidence for a black hole at the center of the Galaxy also comes from the application of Kepler’s third law. Suppose a star at a distance of 20 light-hours from the center of the Galaxy has an orbital speed of 6200 km/s. How much mass must be located inside its orbit?arrow_forward
- Most distances in the Galaxy are measured in light-years instead of meters. Why do you think this is the case?arrow_forwardA stellar black hole may form when a massive star dies. The mass of the star collapses down to a single point. Imagine an astronaut orbiting a black hole having eight times the mass of the Sun. Assume the orbit is circular. a. Find the speed of the astronaut if his orbital radius is r = 1 AU. b. Find his speed if his orbital radius is r = 11.8 km. c. CHECK and THINK: Compare your answers to the speed of light in a vacuum. What would the astronauts orbital speed be if his orbital radius were smaller than 11.8 km?arrow_forwardDescribe the evidence indicating that a black hole may be at the center of our Galaxy.arrow_forward
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