Assignment #14 (Chapter 22)



Read Chapter 22


1.) Astronomers have found that dark matter resides in
a.) Spiral galaxies
b.) Elliptical galaxies
c.) Clusters of galaxies
d.) All of the above
e.) None of the above

2.) Suppose that you were to apply the equation M = r v2 / G to our galaxy in order to calculate "the mass", and that you used the orbital velocity (v) of a star that is located at a distance (r) from the Galactic center. From this formula, which mass would you be calculating?
a.) The mass of stars in the volume within the sphere that is centered on the Galactic center and that has a radius of r
b.) The mass of stars outside of the sphere that is centered on the Galactic center and that has a radius of r
c.) The mass of stars along the path of length = r, which begins at the Galactic center and ends at the location of the star
d.) None of the above

3.) How do astronomers measure the mass of a galaxy cluster?
a.) Measure the temperature of the intracluster gas, then calculate the velocities of the gas atoms from it, then calculate the mass from the velocities
b.) Measure the velocities of individual galaxies in the cluster, then calculate the mass from the velocities
c.) Measure how effectively the cluster has bent the light coming from more distant galaxies
d.) All of the above
e.) None of the above

4.) Although we do not know if dark matter is little particles or big ones, let us
suppose that dark matter is many, many subatomic particles spread evenly throughout
the space of the galaxy. Assume that the diameter of the galaxy is 100,000 lightyears
(so the radius is 50,000 ly), and assume that the dark matter has 10 times as much mass
as the regular matter in the Galaxy (let us take the mass of the regular matter in the
Galaxy to be 100 billion times the mass of the Sun and the Sun's mass is 2.0 x 1033 grams)
a.) What is the density of dark matter in units of grams per km3?
(For comparison, note that a paperclip "weighs" about a gram.)
b.) Given the above assumption, how many grams of dark matter reside within the
solar system? (For the radius of the solar system, use the semi-major axis of
Pluto's orbit: 5.9 x 109 km .)
c.) Consider the mass of the Sun, Jupiter, Earth, and Pluto.
(The Sun's mass is 2.0 x 1030 kg, Jupiter's mass is 1.9 x 1027 kg,
the Earth's mass is 6.0 x 1024 kg, and Pluto's mass is 1.3 x 1022 kg). Which of these is
closest to the mass of the dark matter in the solar system?
d.) I have never seen any mention of dark matter in the solar system. Why is the
solar system's dark matter unimportant?
e.) How can dark matter contribute a little to the mass of the solar system, but a lot
to the mass of the galaxy?

5.) Which of these is on the list of hypothetical dark matter candidates?
a.) A diffuse gas of electrons
b.) Regular stars that were thrown out of the Galactic disk
c.) Planets, brown dwarfs, black dwarfs
d.) All of the above
e.) None of the above

6.) How does/did dark matter affect our galaxy?
a.) It has no effects on our galaxy
b.) It attracted the material that would eventually form the observable part of our galaxy
c.) It helps push the material in our galaxy out to further distances from the Galactic center
d.) All of the above
e.) None of the above

7.) According to models of the universe's evolution, the extremely dense regions where superclusters are
a.) Are currently gravitationally attracting nearby material
b.) Have been been extremely dense since the beginning of time
c.) Are impossible to reproduce with computer simulations
d.) All of the above
e.) None of the above

8.) If you were to make a 3 dimensional map of the observable part of the universe:
a.) Your map would have deserts where there are very few galaxy clusters
b.) Your map would have regions where galaxy clusters lined up along a curvy line or warped-sheet shape
c.) Both of the above
d.) Neither of the above

9.)
a.) How does the amount of dark matter in the universe affect the universe's final fate?
b.) Given our current understanding of the universe, what is the universe's final fate?

10.)
One of the traditional models for the universe is the "recollapsing universe". How does the data on distant
supernova explosions rule-out the "recollapsing universe" model?