The Cosmic Perspective (9th Edition)
The Cosmic Perspective (9th Edition)
9th Edition
ISBN: 9780134874364
Author: Jeffrey O. Bennett, Megan O. Donahue, Nicholas Schneider, Mark Voit
Publisher: PEARSON
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Chapter 12, Problem 48EAP

Impact Energies. A relatively small impact crater 20 kilometers in diameter could be made by a comet 2 kilometers in diameter traveling at 30 kilometers per second (30,000 m/s).

  1. Assume that the comet has a total mass of  4.2 × 10 12 kilograms. What is its total kinetic energy? (Hint: The kinetic energy is equal to  1 2 m v 2 , where is the comet’s mass and is its speed. If you use mass in kilograms and velocity in m/s, the answer for kinetic energy will have units of joules.)
  2. Convert your answer from part a to an equivalent in megatons of TNT, the unit used for nuclear bombs. Comment on the degree of devastation the impact of such a comet could cause if it struck a populated region on Earth. (Hint: One megaton of TNT releases  4.2 × 10 15 joules of energy.)

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Impact Energy. Consider a comet about 2 kilometers across with a mass of 4 × 1012 kg. Assume that it crashes into Earth at a speed of 30,000 meters per second (about 67,000 miles per hour). a. What is the total energy of the impact, in joules? (Hint: The kinetic energy formula tells us that the impact energy in joules will be 1 × m × v2, where 2 m is the comet’s mass in kilograms and v is its speed in meters per second.) b. A 1-megaton nuclear explosion releases about 4 × 1015 joules of energy. How many such nuclear bombs would it take to release as much energy as the comet impact? c. Based on your answers, comment on the degree of devastation the comet might cause.
1. Suppose you have an Oort cloud comet on an orbit with pericenter distance 10,000 AU, and apocenter distance 20,000 AU. a.  What are the semi-major axis and eccentricity of the orbit? b.  What are the specific energy (energy per unit mass), and specific angular momentum (angular momentum per unit mass) of the comet? c.  How fast is the comet moving at apocenter (relative to the Sun)?
The Tunguska asteroid is estimated to have had a diameter of 50 m, and to have produced an explosion equivalent to 10 megatons of TNT (1 megaton = 4.2 x 1015 joules). Assume that the asteroid was a sphere with density 2 g/cm3. Using the kinetic energy formula K = ½ mv2, where m is the mass and v is the speed, to estimate the speed of the asteroid. Assume that all kinetic energy is converted into the energy of the explosion. Give your answer in km/s with one significant figure.

Chapter 12 Solutions

The Cosmic Perspective (9th Edition)

Ch. 12 - Prob. 6EAPCh. 12 - Prob. 7EAPCh. 12 - How do we know the Kuiper belt and Oort cloud...Ch. 12 - Prob. 9EAPCh. 12 - Prob. 10EAPCh. 12 - Prob. 11EAPCh. 12 - Briefly describe the evidence suggesting that an...Ch. 12 - Prob. 13EAPCh. 12 - Prob. 14EAPCh. 12 - Prob. 15EAPCh. 12 - Prob. 16EAPCh. 12 - Prob. 17EAPCh. 12 - Prob. 18EAPCh. 12 - Prob. 19EAPCh. 12 - Prob. 20EAPCh. 12 - Prob. 21EAPCh. 12 - Prob. 22EAPCh. 12 - Prob. 23EAPCh. 12 - Prob. 24EAPCh. 12 - Choose the best answer to each of the following....Ch. 12 - Choose the best answer to each of the following....Ch. 12 - Choose the best answer to each of the following....Ch. 12 - Choose the best answer to each of the following....Ch. 12 - Choose the best answer to each of the following....Ch. 12 - Choose the best answer to each of the following....Ch. 12 - Choose the best answer to each of the following....Ch. 12 - Choose the best answer to each of the following....Ch. 12 - Choose the best answer to each of the following....Ch. 12 - Choose the best answer to each of the following....Ch. 12 - The Role of Jupiter. Suppose that Jupiter had...Ch. 12 - Prob. 41EAPCh. 12 - Prob. 42EAPCh. 12 - Comet Tails. Describe in your own words why comets...Ch. 12 - Prob. 44EAPCh. 12 - Adding Up Asteroids. It’s estimated that there are...Ch. 12 - Impact Energies. A relatively small impact crater...Ch. 12 - The “Near Miss” of Toutatis. The 5-kilometer...Ch. 12 - Prob. 50EAPCh. 12 - Comet Temperatures. Find the “no greenhouse”...Ch. 12 - Comet Dust Accumulation. A few hundred tons of...
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