EP COSMIC PERSPECTIVE-MOD.MASTERING
9th Edition
ISBN: 9780137453481
Author: Bennett
Publisher: SAVVAS L
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Chapter 22, Problem 55EAP
Daytime at “Night.” According to Olbers’ paradox, the entire sky would be as bright as the surface of a typical star if the universe were infinite in space, unchanging in time, and the same everywhere. However, conditions would not need to be quite that extreme for the “nighttime” sky to be as bright as the daytime sky.
- Using the inverse square law for light from Mathematical Insight 15.1, determine the apparent brightness of the Sun in our sky.
- Using the inverse square law for light, determine the apparent brightness our Sun would have if it were at a distance of 10 billion light-years.
- From your answers to parts a and b, estimate how many stars like the Sun would need to exist at a distance of 10 billion light-years for their total apparent brightness to equal that of our Sun.
- Compare your answer to part c with the estimate of the total number of stars in our observable universe from Mathematical Insight 1.3. Use your answer to explain why the night sky is much darker than the daytime sky. How much larger would the total number of stars need to be for “night” to be as bright as day?
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Taking a Hike
A hiker begins a trip by first walking 21.0 km southeast from her car. She stops and sets up her tent for the night. On the second day, she walks 46.0 km in a direction 60.0° north of east, at which point she discovers a forest ranger's tower.
y (km)
Can
N
W-DE
45.0°
60.0°
Tent
Tower
B
x (km)
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(a) Determine the components of the hiker's displacement for each day.
SOLUTION
Conceptualize We conceptualize the problem by drawing a sketch as in the figure. If we denote the displacement vectors on the first and second days by A and B, respectively, and use the ---Select-- as the origin of coordinates, we obtain the vectors shown in the figure. The sketch allows us to estimate the resultant vector as shown.
Categorize Drawing the resultant R, we can now categorize this problem as one we've solved before: --Select-- of two vectors. You should now have a hint of the power of categorization in that many new problems are very similar to problems we have already solved if we are…
Chapter 22 Solutions
EP COSMIC PERSPECTIVE-MOD.MASTERING
Ch. 22 - Prob. 1VSCCh. 22 - Prob. 2VSCCh. 22 - Prob. 3VSCCh. 22 - Explain what we mean by the Big Bang theory.Ch. 22 - Prob. 2EAPCh. 22 - Prob. 3EAPCh. 22 - Prob. 4EAPCh. 22 - Prob. 5EAPCh. 22 - Prob. 6EAPCh. 22 - Prob. 7EAP
Ch. 22 - 8. Why do we think there was slightly more matter...Ch. 22 - 9. How long did the era of nucleosynthesis last?...Ch. 22 - 10. When we observe the cosmic microwave...Ch. 22 - 11. Briefly describe how the cosmic microwave...Ch. 22 - 12. How does the chemical abundance of helium in...Ch. 22 - Prob. 13EAPCh. 22 - Prob. 14EAPCh. 22 - Prob. 15EAPCh. 22 - Prob. 16EAPCh. 22 - Prob. 17EAPCh. 22 - Decide whether the statement makes sense (or is...Ch. 22 - Prob. 19EAPCh. 22 - Prob. 20EAPCh. 22 - Prob. 21EAPCh. 22 - Prob. 22EAPCh. 22 - Prob. 23EAPCh. 22 - Prob. 24EAPCh. 22 - Decide whether the statement makes sense (or is...Ch. 22 - Choose the best answer to each of the following....Ch. 22 - Prob. 27EAPCh. 22 - Prob. 28EAPCh. 22 - Prob. 29EAPCh. 22 - Prob. 30EAPCh. 22 - Prob. 31EAPCh. 22 - Prob. 32EAPCh. 22 - Prob. 33EAPCh. 22 - Prob. 34EAPCh. 22 - Prob. 35EAPCh. 22 - Prob. 37EAPCh. 22 - Prob. 38EAPCh. 22 - Prob. 41EAPCh. 22 - Prob. 42EAPCh. 22 - Prob. 43EAPCh. 22 - Prob. 44EAPCh. 22 - Prob. 45EAPCh. 22 - Prob. 46EAPCh. 22 - Prob. 47EAPCh. 22 - Prob. 48EAPCh. 22 - Prob. 49EAPCh. 22 - Gravity vs. the Electromagnetic Force. The amount...Ch. 22 - Prob. 51EAPCh. 22 - Prob. 52EAPCh. 22 - Prob. 53EAPCh. 22 - Prob. 54EAPCh. 22 - Daytime at “Night.” According to Olbers’ paradox,...
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