Understanding Our Universe
Understanding Our Universe
3rd Edition
ISBN: 9780393614428
Author: PALEN, Stacy, Kay, Laura, Blumenthal, George (george Ray)
Publisher: W.w. Norton & Company,
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Chapter 9, Problem 33QAP
To determine

The reason why should we be concerned about the possibility of collisions of comet and asteroids.

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A lot of asteroid and comet dust collides with Earth's atmosphere everyday. Assume that 500 tons of mass is added to Earth daily from the millions of meteors that enter our atmosphere. Estimate the time it would take for the Earth's mass to increase 0.2% with this impact rate. Is this mass accumulation significant to Earth as a planet.
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.
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.
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