Horizons: Exploring the Universe (MindTap Course List)
Horizons: Exploring the Universe (MindTap Course List)
14th Edition
ISBN: 9781305960961
Author: Michael A. Seeds, Dana Backman
Publisher: Cengage Learning
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Chapter 15, Problem 8P
To determine

The number of particle Earth captured per second by the region covering 100 m2.

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If you stood on Earth during its formation, during which it captured about 1.4 ✕ 1011 particles per second, and watched a region covering 310 m2, how many impacts would you expect to see in an hour? (Notes: The surface area of a sphere is 4πr2. Hint: Assume that Earth had its current radius of 6,378 km.) [......] impacts
In the previous lab, we calculated the area in between Mars' and Jupiter's orbit to be ~1.6e18 km2. Since there are roughly 750,000 asteroids, how much area (in km2) is available for one asteroid? Use this calculation to argue whether you are likely (or not) to hit an asteroid while flying through the asteroid belt. (Hint: To answer the first part of the question, find the area per asteroid)
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.

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Horizons: Exploring the Universe (MindTap Course List)

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