21st Century Astronomy 6E
21st Century Astronomy 6E
6th Edition
ISBN: 9780393690675
Author: Laura Kay, Stacy Palen, George Blumenthal
Publisher: W. W. Norton
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Chapter 12, Problem 31QP

(a)

To determine

The density of the comet and compare it to the density of water.

(b)

To determine

The escape velocity from the surface of the comet.

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d) The internal density of the comet 67P was measured by the Rosetta space-craft to be approximately p = 400 kg m-³. How close an approach to the Earth could be made by this comet before it is tidally disrupted? Express your answer in units of the Earth's radius. Ignoring the effects of heating and sublimation, state how close this comet could approach the Sun without being tidally disrupted. Express your answer in units of the Solar radius.
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.
What is the escape velocity is km/s from Jupiters exosphere, which begins about 993 km above the surface ? Assume the Gravitational constant is G= 6.67 x10-11m3 kg-1s-2, and that's Jupiter has a mass of 1.8999999999999998e+27kg and a radius of 68.0 x103km
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