Foundations of Astronomy, Enhanced
13th Edition
ISBN: 9781305980686
Author: Michael A. Seeds; Dana Backman
Publisher: Cengage Learning US
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Chapter 17, Problem 2P
To determine
The time required to reach the jet in the galaxy.
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Pretend that galaxies are spaced evenly, 7.0 Mpc apart, and the average mass of a galaxy is 1.0 ✕ 1011 M. What is the average density (in kg/m3) of matter in the universe? (Note: The volume of a sphere is 4/3pieR^3 and the mass of the sun is 2.0 ✕ 1030 kg.)
______ kg/m^3
Which model universe does this density value support?
A: open
B: flat
C: closed
The time for a galaxy to cross from one side of a cluster to the other is called the crossing time. Find the crossing time for a galaxy moving at speed v to cross a cluster with a diameter d. Express you answer in gigayears, using one decimal place.
Values:
v = 849 km/s
d = 1.3 Mpc
n(r) = 1ge
where r represents the distance from the centre of the Galaxy, Ro is
the distance of the Sun from the centre of the Galaxy, Ra is the typical
size of disk and no is the stellar density of disk at the position of the
Sun. All distances are expressed in kpc. An astronomer observes the
center of the Galaxy within a small field of view. We take a particular
type of Red giant stars as the standard candles for the observation with
approximately constant absolute magnitude of M = -0.2,
(a) A telescope has a limiting magnitude of m = 18. Calculate the
maximum distance to which this telescope can detect these red
giant stars. For simplicity we ignore the presence of interstellar
medium so there is no extinction.
(b) Assume an extinction of 0.7 mag/kpc for the interstellar medium.
Repeat the calculation as done in the part 5a and obtain a rough
number for the maximum distance these red giant stars can be
observed.
(c) Give an expression for the number of these red giant stars per mag-…
Chapter 17 Solutions
Foundations of Astronomy, Enhanced
Ch. 17 - Prob. 1RQCh. 17 - Prob. 2RQCh. 17 - Prob. 3RQCh. 17 - Prob. 4RQCh. 17 - Prob. 5RQCh. 17 - Prob. 6RQCh. 17 - Prob. 7RQCh. 17 - Prob. 8RQCh. 17 - Prob. 9RQCh. 17 - Prob. 10RQ
Ch. 17 - Prob. 11RQCh. 17 - Prob. 12RQCh. 17 - Prob. 13RQCh. 17 - Prob. 14RQCh. 17 - Prob. 15RQCh. 17 - Prob. 16RQCh. 17 - Prob. 17RQCh. 17 - Prob. 18RQCh. 17 - Prob. 19RQCh. 17 - Prob. 20RQCh. 17 - Prob. 21RQCh. 17 - Prob. 1DQCh. 17 - Prob. 2DQCh. 17 - Prob. 3DQCh. 17 - Prob. 5DQCh. 17 - Prob. 6DQCh. 17 - Prob. 7DQCh. 17 - Prob. 1PCh. 17 - Prob. 2PCh. 17 - Prob. 3PCh. 17 - Prob. 4PCh. 17 - Prob. 5PCh. 17 - Prob. 6PCh. 17 - Prob. 7PCh. 17 - Prob. 8PCh. 17 - What is the change in the wavelength of the Balmer...Ch. 17 - Prob. 10PCh. 17 - Prob. 11PCh. 17 - Prob. 12PCh. 17 - Prob. 13PCh. 17 - Prob. 1LTLCh. 17 - Prob. 2LTLCh. 17 - Prob. 3LTLCh. 17 - Prob. 4LTLCh. 17 - Prob. 5LTL
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- 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…arrow_forwardIn 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)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_forward
- Explain how the Hubble constant, H0, can be used to make an estimate for the age of the Universe. Use the value of H0 = 0.07×103 kms-1/Mpc to estimate the Universe’s age. Comment on the significance of your answer.arrow_forwardIf a galaxy is 8.8 Mpc away from Earth and recedes at 498 km/s, what is H0 (in km/s/Mpc)? _______ km/s/Mpc What is the Hubble time (in yr)? _______ yr How would acceleration change your answer? A: If the expansion of the Universe has been accelerating, the Universe could be substantially younger than the value entered above. B: If the expansion of the Universe has been accelerating, the Universe could be substantially older than the value entered above.arrow_forwardSuppose a universe is spatially flat, and (at some moment in time) has density ρ. Suppose a creature living in one galaxy in this universe sees a second galaxy receding (at this same moment in time), with its spectral lines redshifted by a factor of z. How far away is the second galaxy from the first? (Note the distance is small enough that Hubble's law can be safely applied.) Values: ρ = 5x10-27 kg m-3 z = 0.10 Enter your answer in Mpc, rounded to the nearest integer.arrow_forward
- The surface mass density of the disk of a galaxy is given in the provided image. Σ0 is the central surface density and Rd is the scale-length, and they are both constant. Find the total mass (M) of the disk in terms of Σ0 and Rd.arrow_forwardIf the universe had a density equal to its estimated critical density of 9= 10-30 g/cm3, and if it were composed entirely of one-solar-mass stars (mass 2.0 x1030 kg) distributed uniformly across the universe, what would be the distance between stars? Compare your result with the density of stars in the neighborhood of the sun and comment on the result.arrow_forwardUsing our example from the previous unit, let's try to determine the Hubble time for this example universe. You were given that a good representative galaxy receded at a speed of 4000 km/s and was found to be 20 Mpc away. With that in mind, what would the age of that universe be in years (aka what is that universe's Hubble time)? Go ahead and take the number of kilometers per Mpc to be approximately 3.1*10^19 km/Mpc. While this problem may look scary at first, this is really just bringing you full circle to one of the unit conversion problems you encountered at the beginning of this course.arrow_forward
- Pretend that galaxies are spaced evenly, 4.0 Mpc apart, and the average mass of a galaxy is 1.0 x 101 M What is the average density (in kg/m³) of matter in the universe? (Note: The volume of a sphere is 4 -ar, and the mass of the sun is 2.0 x 1030 kg.) kg/m3 Which model universe does this density value support? flat open closedarrow_forwardIf a galaxy is 9.0 Mpc away from Earth and recedes at 510 km/s, what is H? What is the Hubble time?arrow_forwardIf the active core of a galaxy contains a black hole of 106?Θ (1 million solar masses), what will the orbital velocity be for matter orbiting the black hole at a distance of 0.33 AU? (Hint: use the formula for orbital velocity: ?=√???; where ?=6.67×10−11 ?3?? ?2 and ?Θ= 2.0×1030 ??. Note: 1 ??=1.50×1011 ?)arrow_forward
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