Foundations of Astronomy (MindTap Course List)
Foundations of Astronomy (MindTap Course List)
14th Edition
ISBN: 9781337399920
Author: Michael A. Seeds, Dana Backman
Publisher: Cengage Learning
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Chapter 15, Problem 26RQ
To determine

The process by which the galactic fountain spread metals through the Galaxy’s disk.

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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 determine the mass in the Milky Way that lies interior to 50 kpc. Express your answer in units of the Solar mass. 250 km s-1. Using Kepler's 3rd Law,
Our Solar System is about 8.3 kpc from the centre of our galaxy. Using Newton's Universal Gravitation Law and Kepler's Third Law, calculate the approximate mass of our Milky Way if we know that the orbital velocity of the Sun around the centre of the galaxy is 225 km/s. (Hint: Use the formula for orbital velocity: v = GM -and problem , r -11 m3 Note: G is the Universal Gravitation Constant, G 6.67 × 10 kg s2' 1 kpс 1000 рс аnd 1 рс 3.1 x 1016 m. Also, pay attention to units!!! – i.e. orbital m3 velocity is in km/s and the universal gravitation constant is in kgs2 а) 8.7 х 1035 b) 2.0 x 1041kg c) 2.0 × 1030 d) 6.0 × 1024 kg kg kg
The Milky Way galaxy has about 5 x 10⁹ solar masses of gas in total. If 13 solar masses of that gas is turned into stars each year, how many more years could the Milky Way keep up with such a star formation rate? years (Note for comparison that the age of the universe is about 13.5 billion years, which can be written 1.35e10 years. Also, the value given is in the ballpark of how much gas in the Milky Way is used to make new stars each year.)
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