Universe: Stars And Galaxies
Universe: Stars And Galaxies
6th Edition
ISBN: 9781319115098
Author: Roger Freedman, Robert Geller, William J. Kaufmann
Publisher: W. H. Freeman
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Chapter 8, Problem 29Q
To determine

To explain: Composition of asteroid belt with the help of the Grand Tack model.

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The Near Earth Asteroid Rendezvous (NEAR), after traveling 2.1 billion kmkm, is meant to orbit the asteroid Eros at a height of about 15 kmkm. Eros is roughly 40km×km× 6km×km×6kmkm. Assume Eros has a density (mass/volume) of about 2.3×103kg/m32.3×103kg/m3.     Part A What will be the period of NEAR as it orbits Eros?
Suppose there are approximately 8.0×1068.0×106 asteroids in the asteroid belt that have a diameter larger than 0.20.2 km. If the asteroid belt stretches from 1.91.9 AU to 3.73.7 AU, how much space is there for each asteroid? Follow the steps. (There are 149000000.0000149000000.0000 km in 1 AU.)
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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