Universe
Universe
11th Edition
ISBN: 9781319039448
Author: Robert Geller, Roger Freedman, William J. Kaufmann
Publisher: W. H. Freeman
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Chapter 12, Problem 54Q
To determine

The speed at which a spacecraft’s rocket motor would have to accelerate the spacecraft to escape Earth’s atmosphere and then return after completing its mission. It is given that this hypothetical spacecraft would float while being suspended from balloons for extended periods of time in Jupiter’s upper atmosphere.

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Titan has a radius of 2500.0 km and a mass of 1.1 × 1023 kg. What is the escape velocity in km/s from Titan's exosphere, which begins at about 1400 km above the surface? The gravitational constant is G = 6.67 × 10-11 m3 kg-1 s-2.
Calculate the surface escape velocities for Mars.  rM = 3.3× 106 m, MM = 6 × 1022 kg).
What is the escape velocity in km/s from Jupiter's exosphere, which begins about 995 km above the surface? Assume the Gravitational constant is G = 6.67 × 10-11 m3 kg-1 s-2 , and that Jupiter has a mass of 2.2e+27 kg and a radius of 71.0 × 103 km.
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