21st Century Astronomy
21st Century Astronomy
6th Edition
ISBN: 9780393428063
Author: Kay
Publisher: NORTON
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Chapter 12, Problem 43QP
To determine

The volume of comet tail that would hold 1019 molecules.

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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.
The mass of the planet is approximately 74.8 times the mass of Jupiter. Calculate the average density of the planet. Give your answer in grams per cubic centimeter.
A comet’s perihelion distance is 1 AU, and its aphelion distance is 15 AU. In the following, we make a very crude calculation of the average rate of shrinkage of the comet.(a) Calculate the comet’s orbital period.(b) Estimate how many meters of ice the comet will lose each time it orbits the Sun. (Hint: To simplify the calculations, you may assume that ice sublimates off the comet’s surface during one tenth of its orbital period, that the average cometary distance over that period is 1.5 AU and the density of the cometary ice is 600 kg m−3.)
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