When two galaxies collide, the stars do not generally run into each other, but the gas clouds do collide, triggering a burst of new star formation.  a) Estimate the probability that our Sun would collide with another star in the Andromeda galaxy if a collision between the Milky Way and Andromeda happened. Assume that each galaxy has 100 billion stars exactly like the Sun, spread evenly over a circular disk with a radius of 100,000 light ears. (Hint: first calculate the total area of 100 billion circles with the radius of the Sun and then compare that total area to the area of the Galactic disk.)  b) Estimate the probability of a collision between a gas cloud in our galaxy and one in the Andromeda galaxy. To simplify the problem, assume that each galaxy has 100,000 clouds of warm hydrogen gas, each with a radius of 300 light-years, spread evenly over this same disk. Use the same method as part a.

Applications and Investigations in Earth Science (9th Edition)
9th Edition
ISBN:9780134746241
Author:Edward J. Tarbuck, Frederick K. Lutgens, Dennis G. Tasa
Publisher:Edward J. Tarbuck, Frederick K. Lutgens, Dennis G. Tasa
Chapter1: The Study Of Minerals
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When two galaxies collide, the stars do not generally run into each other, but the gas clouds do collide, triggering a burst of new star formation. 

a) Estimate the probability that our Sun would collide with another star in the Andromeda galaxy if a collision between the Milky Way and Andromeda happened. Assume that each galaxy has 100 billion stars exactly like the Sun, spread evenly over a circular disk with a radius of 100,000 light ears. (Hint: first calculate the total area of 100 billion circles with the radius of the Sun and then compare that total area to the area of the Galactic disk.) 

b) Estimate the probability of a collision between a gas cloud in our galaxy and one in the Andromeda galaxy. To simplify the problem, assume that each galaxy has 100,000 clouds of warm hydrogen gas, each with a radius of 300 light-years, spread evenly over this same disk. Use the same method as part a.

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