Stars and Galaxies (MindTap Course List)
Stars and Galaxies (MindTap Course List)
10th Edition
ISBN: 9781337399944
Author: Michael A. Seeds
Publisher: Cengage Learning
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Chapter 5, Problem 14P
To determine

Find the escape velocity of a man as like an asteroid with a mass of 60kg .

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An asteroid has a radius of about 7.5 km. Assuming that the density of the asteroid is the same as that of the earth (5.5 g/cm3), find its total mass. Suppose an object is to be placed in a circular orbit around the asteroid, with a radius just slightly larger than the asteroid's radius. What is the speed of the object?
A team of astronauts is on a mission to land on and explore a large asteroid. In addition to collecting samples and performing experiments, one of their tasks is to demonstrate the concept of the escape speed by throwing rocks straight up at various initial speeds. With what minimum initial speed ?escvesc will the rocks need to be thrown in order for them never to "fall" back to the asteroid? Assume that the asteroid is approximately spherical, with an average density ?=4.10×106 g/m3ρ=4.10×106 g/m3 and volume ?=1.25×1012 m3V=1.25×1012 m3 . Recall that the universal gravitational constant is ?=6.67×10−11 N·m2/kg2G=6.67×10−11 N·m2/kg2 .
What is the escape speed from a planet of mass M = 3.1 x 1023 kg and radius R = 2.6 x 106 m? Write the answer in terms of km/s.
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