Universe: Stars And Galaxies
6th Edition
ISBN: 9781319115098
Author: Roger Freedman, Robert Geller, William J. Kaufmann
Publisher: W. H. Freeman
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Chapter 25, Problem 38Q
To determine
The use of the cosmic background
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Estimating the mass of the Milky Way
a) Assuming the Sun moves in a circular orbit of radius 8 kiloparsecs around the center of the Milky Way, and that its orbital speed
is 220 km/s, calculate how many years it takes the Sun to complete one orbit of the Galaxy. Remember to convert kiloparsecs to
kilometers.
b) Using the modified form of Kepler's third law (introduced in Lecture 13, for measuring the combined masses of binary stars),
R³
m+ M = estimate the mass of the Milky Way enclosed within 8 kpc (Sun's orbit radius). The mass of the Milky Way inside
p²
I
the Sun's orbit can be represented as a single mass (M) located at its center, and the mass of the Sun (m) can be considered
infinitesimally small compared to the Milky Way's (i.e., m < M).
c) Is this estimate of the Milky Way's mass an upper or lower limit? Explain your reasoning.
Astronomers frequently say that "there are more stars in the universe than there are grains of sand on all the
beaches on the earth". Given that a typical grain of sand is about 0.5 – 1.0 mm in diameter, estimate the
number of grains of sand on all the earth's beaches. The diameter of the Earth is 12,742 km.
a) About 1011
b) About 1016
c) About 1021.
6.
Assume that a typical galaxy contains about 200 billion stars and that there are more than 150 billion
galaxies in the known universe. Estimate the total number of stars in the universe.
b) About 1022
a) About 1010
c) About 1016.
7.
Compare the values of the number of grains of sand in all earth's beaches (from problem 5) with the
number of stars in the universe (from problem 6) – which is greater?
a) Number of sand grains
b) number of stars
c) they are about the same.
Explain the expanding Universe theory and its relationship to the Big Bang theory?
Chapter 25 Solutions
Universe: Stars And Galaxies
Ch. 25 - Prob. 1QCh. 25 - Prob. 2QCh. 25 - Prob. 3QCh. 25 - Prob. 4QCh. 25 - Prob. 5QCh. 25 - Prob. 6QCh. 25 - Prob. 7QCh. 25 - Prob. 8QCh. 25 - Prob. 9QCh. 25 - Prob. 10Q
Ch. 25 - Prob. 11QCh. 25 - Prob. 12QCh. 25 - Prob. 13QCh. 25 - Prob. 14QCh. 25 - Prob. 15QCh. 25 - Prob. 16QCh. 25 - Prob. 17QCh. 25 - Prob. 18QCh. 25 - Prob. 19QCh. 25 - Prob. 20QCh. 25 - Prob. 21QCh. 25 - Prob. 22QCh. 25 - Prob. 23QCh. 25 - Prob. 24QCh. 25 - Prob. 25QCh. 25 - Prob. 26QCh. 25 - Prob. 27QCh. 25 - Prob. 28QCh. 25 - Prob. 29QCh. 25 - Prob. 30QCh. 25 - Prob. 31QCh. 25 - Prob. 32QCh. 25 - Prob. 33QCh. 25 - Prob. 34QCh. 25 - Prob. 35QCh. 25 - Prob. 36QCh. 25 - Prob. 37QCh. 25 - Prob. 38QCh. 25 - Prob. 39QCh. 25 - Prob. 40QCh. 25 - Prob. 41QCh. 25 - Prob. 42QCh. 25 - Prob. 43QCh. 25 - Prob. 44QCh. 25 - Prob. 45QCh. 25 - Prob. 46QCh. 25 - Prob. 47QCh. 25 - Prob. 48QCh. 25 - Prob. 49QCh. 25 - Prob. 50QCh. 25 - Prob. 51QCh. 25 - Prob. 52QCh. 25 - Prob. 53QCh. 25 - Prob. 54QCh. 25 - Prob. 55Q
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