Loose Leaf For Explorations:  Introduction To Astronomy
Loose Leaf For Explorations: Introduction To Astronomy
9th Edition
ISBN: 9781260432145
Author: Thomas T Arny, Stephen E Schneider Professor
Publisher: McGraw-Hill Education
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Chapter 11, Problem 3TQ
To determine

Discuss the possibility of formation of a planet from the asteroid belt.

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The following figure shows six pairs of asteroids, labeled with their relative masses (M) and distances (d) between them. For example, an asteroid with M=2 has twice the mass of one with M=1 and a distance of d=2 is twice as large as a distance of d=1. Using the letters ABCDEF, rank each pair according to the gravitational force attracting the asteroids to each other, from strongest to weakest. 1) 4) d=1 d=1 M=2 M=1 M=2 M=2 2) 5) d=2 d=2 M=1 M=2 M=2 M=2 3) d=2 d=3 M=1 M=1 M=2 M=2 A) Pair 5 B) Pair 3 C) Pair 1 D) Pair 6 E) Pair 2
There is a cloud of marbles far out in space. The distance from one end of the cloud to the other is D , and the marbles all have mass m . Near the cloud are two asteroids. One of the asteroids has mass Ma and is located a distance D from the near edge of the cloud, whereas the other has mass 12⁢Ma and is located a distance 3⁢D from the near edge of the cloud, as shown in the illustration.
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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