The Cosmic Perspective
7th Edition
ISBN: 9780321839558
Author: Jeffrey O. Bennett, Megan O. Donahue, Nicholas Schneider, Mark Voit
Publisher: Addison-Wesley
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Chapter 1, Problem 47EAP
Faster Trip. Suppose you wanted to reach Alpha Centauri in 100 years.
a. How fast would you have to go, in km/hr? b. How many times faster is the speed you found in part a than the speed of our fastest current spacecraft (around 50,000 km/hr)?
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Cruise Ship Enery. Suppose we have a spaceship about the size of a typical ocean cruise ship today, which means it has a mass of about l00 million kilograms, and we want to accelerate the ship to a speed of 10% of the speed of light.
a. How Inuch energy would be required? (Hint; You can find the answer simply by calculating the kinetic energy of the ship when it reaches its cruising speed; because 10% of the speed of light is still small compared to the speed of light, you can use thsi formula kinetic energy = 1/2 x m x v2)
b. How does your answer coInpare to total world energy use 5 x 1022 Joules?
c. The typical cost of energy today is roughly 5¢ per 1 million joules. At this price, how much would it cost to generate the energy needed by this spaceship?
Astronomers use a light-year to measure distance. A light-year is the distance light travels in one year. The speed of light is approximately 300,000 km/sec.a. How long is 1 light-year in kilometers?b. The nearest star (other than the sun) is Alpha Centauri. It is 4.34 light-years from Earth. How far is that in kilometers?c. How long will it take a rocket traveling 42,000 km/hr to reach Alpha Centauri?
Milestone A: Walk 3.2 km (~2 miles) towards northeast.
Milestone B: Walk 1.3 km towards southeast.
Milestone C: Walk 2.4 km directly south.
Surprise at the end!
You have arrived at the treasure!
Distance: What is the total distance traveled if you walk the distance A, B, C? Give your answer in km and miles.
2. Direction:
a. what is meant by “north east?”
b. what direction would this be on a cartesian coordinate system?
c. What is meant by “south east?”
d. What direction would this be on a cartesian coordinate system?
e. What about “south”?
f. What direction on cartesian coordinate system?
3. Draw the diagram: include drawing the resultant
a. What does the resultant vector represent?
4. Calculate: use trigonometry to find the displacement.
Chapter 1 Solutions
The Cosmic Perspective
Ch. 1 - Prob. 1VSCCh. 1 - Prob. 2VSCCh. 1 - Prob. 3VSCCh. 1 - Prob. 4VSCCh. 1 - Prob. 1EAPCh. 1 - Define astronomical unit and light-year.Ch. 1 - Explain the statement “The farther away we look in...Ch. 1 - Prob. 4EAPCh. 1 - Prob. 5EAPCh. 1 - What do we mean when we say that the universe is...
Ch. 1 - In what sense are we “star stuff”?Ch. 1 - Use the cosmic calendar to describe how the human...Ch. 1 - Briefly explain Earth’s daily rotation and annual...Ch. 1 - Briefly describe our solar system’s location and...Ch. 1 - Prob. 11EAPCh. 1 - Prob. 12EAPCh. 1 - Prob. 13EAPCh. 1 - Does it Make Sense? Decide whether the statement...Ch. 1 - Prob. 15EAPCh. 1 - Prob. 16EAPCh. 1 - Prob. 17EAPCh. 1 - Prob. 18EAPCh. 1 - Prob. 19EAPCh. 1 - Prob. 20EAPCh. 1 - Prob. 21EAPCh. 1 - Prob. 22EAPCh. 1 - Which of the following correctly lists our ‘cosmic...Ch. 1 - An astronomical unit is (a) any planet’s average...Ch. 1 - The star Betelgeuse is about 600 light-years away....Ch. 1 - Prob. 26EAPCh. 1 - The total number of stars in the observable...Ch. 1 - Prob. 28EAPCh. 1 - Prob. 29EAPCh. 1 - Prob. 30EAPCh. 1 - Prob. 31EAPCh. 1 - Prob. 32EAPCh. 1 - Prob. 33EAPCh. 1 - Thinking About Scale. One key to success in...Ch. 1 - Prob. 35EAPCh. 1 - Prob. 36EAPCh. 1 - Prob. 37EAPCh. 1 - Prob. 38EAPCh. 1 - Prob. 39EAPCh. 1 - Prob. 40EAPCh. 1 - Prob. 41EAPCh. 1 - Spacecraft Communication. We use radio waves,...Ch. 1 - Prob. 43EAPCh. 1 - Prob. 44EAPCh. 1 - Prob. 45EAPCh. 1 - Driving Trips. Imagine that you could drive your...Ch. 1 - Faster Trip. Suppose you wanted to reach Alpha...Ch. 1 - Prob. 48EAPCh. 1 - Earth Rotation Speed. Mathematical Insight 1.3...Ch. 1 - Prob. 50EAPCh. 1 - Prob. 51EAPCh. 1 - Prob. 52EAPCh. 1 - Prob. 53EAPCh. 1 - Prob. 54EAPCh. 1 - Prob. 55EAP
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