EBK THE COSMIC PERSPECTIVE
9th Edition
ISBN: 9780135161760
Author: Voit
Publisher: VST
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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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SARET CRKS AUTOWAY
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Useful equations
For Constant Velocity:
V =>
D
X = V₁t + Xo
For Constant Acceleration:
Vr = V + at
X = Xo+Vot +
v=V+2a(X-Xo)
\prom = V +V
V velocity
t = time
D Distance
X = Final Position
Xo Initial Position
V = Final Velocity
Vo Initial Velocity
a = acceleration
For free fall
Yf
= Final Position
Yo Initial Position
g = 9.80
m
$2
For free fall:
V = V + gt
Y=Yo+Vo t +
+gt
V,² = V₁²+2g (Y-Yo)
V+Vo
Vprom=
2
6
Solve the problems
A 11 kg weight is attached to a spring with constant k = 99 N/m and subjected to an external force
F(t) =-704 sin(5t). The weight is initially displaced 4 meters above equilibrium and given an
upward velocity of 5 m/s. Find its displacement for t> 0.
y(t)
ון
Chapter 22 Solutions
EBK THE COSMIC PERSPECTIVE
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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