Classical Dynamics of Particles and Systems
Classical Dynamics of Particles and Systems
5th Edition
ISBN: 9780534408961
Author: Stephen T. Thornton, Jerry B. Marion
Publisher: Cengage Learning
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Chapter 5, Problem 5.3P
To determine

The escape velocity corresponding to earth.

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If the mass and radius of Mars are 6.39 × 1023 kg and 3.4 × 106 m, respectively, what is the escape velocity needed for a spaceship of mass 25,000 kg to escape the gravitational potential well of Mars?  A) 1,200 m/s B). 8,658 m/s C). 7,270 m/s D). 5,022 m/s
What is the minimum speed with which a meteor strikes the top of Earth’s stratosphere (about 43.5 km above the surface), assuming that the meteor begins as a bit of interplanetary debris far from Earth and stationary relative to Earth? Assume that the drag force is negligible until the meteor reaches the stratosphere. Mass of Earth is 5.974 × 1024 kg; radius of Earth is 6.371 × 106 m; and gravitational constant is 6.674 × 10−11 N·m2/kg2. in Km/s
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 vesc 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 ? = 2.67 × 106 g/m3 and volume V =1.71 × 1012 m3. Recall that the universal gravitational constant is G = 6.67 × 10-11 (Nm2)/(kg2).
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