On a rotation curve you notice two points, A and B. Point B is twice as far from the center of the galaxy as point A, but they have the same velocity. How much more mass is contained inside the orbit of star B as opposed to star A? half as much twice as much four times less four times more the same
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A: Given: The mass of the black hole is 106 MSun. The orbital period is 1 hr.
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A: Given data: rgalaxy=4 kpcv=150 km/s Need to determine the orbital period of the outer stars.
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A: Average density of the matter in the universe ρavg=M43πd23=6Mπd2
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Q: given: a (distance to center of galaxy in AU) = 1,717,914,439 AU P (suns orbital period in years)…
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A: The expression for the orbital period, T=2πrv =2πrGMr =2πr32GM
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A: first option is correct
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A: We have to use special theory of relativity to solve this problem
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A: Required : The types of galaxies.
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A: It is a fill in the blank.
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A: Answer: Detail solution in below.
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On a rotation curve you notice two points, A and B. Point B is twice as far from the center of the galaxy as point A, but they have the same velocity. How much more mass is contained inside the orbit of star B as opposed to star A?
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- In the reading, you were told that there were roughly 10,000 galaxies in the image of the Hubble Ultra Deep Field alone. The image is roughly 10 square arcminutes and there are roughly 1.5*10^8 square arcminutes composing the entire sky. With that in mind and assuming that the Hubble Ultra Deep Field represents an average part of the sky, roughly how many galaxies may exist in the observable universe? (Please include commas for every factor of 1,000; for example 2,343,567,890)If a galaxy contains a supernova that at its brightest has an apparent magnitude of +25, how far away is the galaxy? Assume that the absolute magnitude of the supernova is -14. (Hint: use the magnitude - distance formula : d = 10 (Mv-Mv +5)/5 _______ MpcIf a standard passenger aircraft can fly at 0.32 km/s (716 mph), how long (in yr) would it take to reach the sun? ______ yr How long (In yr) would it take to reach the galactic center? (Note: 1 pc = 3.1 x 10^13 km. The radius of the suns orbit around the galactic center is approximately 8,300 pc.) ______ yr
- Most of the dark matter in a galaxy is located in the ________ which allows the more luminous matter to rotate around the center of the galaxy at a faster speed than predicted by Kepler's 3rd Law.Suppose you have obtained spectra of several galaxies and have measuerd the observed wavelength of the H-Alpha line (rest wavelength = 656.3 nm) to be Galaxy 1: 658.1 nm. Galaxy 2: 667.1 nm. Galaxy 3: 677.6 nm. Assuming a Hubble Constant of 72.5 km/s/Mpc, calculate the distance to each of these galaxies (answer in Mpc)A galaxy's rotation curve is a measure of the orbital speed of stars as a function of distance from the galaxy's centre. The fact that rotation curves are primarily flat at large galactocen- tric distances (vrot(r) ~ constant) is the most common example of why astronomer's believe dark matter exists. Let's work out why! Assuming that each star in a given galaxy has a circular orbit, we know that the accelera- tion due to gravity felt by each star is due to the mass enclosed within its orbital radius r and equal to v?/r. Here, ve is the circular orbit velocity of the star. (a) Show that the expected relationship between ve and r due to the stellar halo (p(r) xr-3.5) does not produce a flat rotation curve. (b) Show that a p(r) ∞ r¯² density profile successfully produces a flat ro- tation curve and must therefore be the general profile that dark matter follows in our galaxy.
- Figure 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…If Hubble’s constant is taken to be 70 ??? ???, and a quasar is found to have a radial velocity equal to 95% of the speed of light, how far is the quasar in Mpc? (Hint: Use Hubble’s Law and solve for the distance; and the speed of light in vacuum is: ?=3.0×105 ??/?).The Sun is at a distance of about 8 kpc from the galactic center and moves around the galactic center in a circular path with a velocity of about 220 km s. Make a rough estimate of the mass of the Galaxy.
- Astronomers estimate the mass of the stars in a certain galaxy to be about 3.0e40 kg, and the total mass of this galaxy to be about 1.2e41 kg. The amount of the galaxy’s mass is made up of dark matter is_____ percent.Suppose you have obtained spectra of several galaxies and have measured the observed wavelength of the H-Alpha line (rest wavelength = 656.3 nm) to be Galaxy 1: 658.1 nm. Galaxy 2: 667.1 nm. Galaxy 3: 677.6 nm. Calculate the radial velocity of each of these galaxies.