21st Century Astronomy
21st Century Astronomy
6th Edition
ISBN: 9780393428063
Author: Kay
Publisher: 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.
Give me the solution for the problem. The correct answers are: A: -1.4 x 10-6 km/h. The comet's speed has been decreased by this amount. Hence, the effect is negligble.   B: -6.7 x 10-8 km/h. The Earth's speed has been decreased by this amount. Also, the effect is negligble.
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