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 9P
To determine

Find the orbital speed at Earth’s surface.

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A 3000-kg satellite orbits the Earth in a circular orbit 11797 km above the Earth's surface (Earth radius = 6380 km, Earth Mass = 5.97x1024 kg). What is the gravitational force (in newtons, N) between the satellite and the Earth? Hint: The radius of the Earth + the height of the orbit = the center-to-center distance needed for the equation. You also need the universal gravitational constant (G), which is not 9.81 m/s2. Be careful. Gmim2 F
How much work is required to lift a 500-kg satellite to an altitude of 1 · 10° m above the surface of the earth? The gravitational force is F = GMm/r², where M is the mass of the earth, m is the mass of the satellite, and r is the distance between them. The radius of the earth is 6.4 · 10° m, its mass is 6 · 10ª kg, %3D and in these units the gravitational constant, G, is 6.67 · 10~1,
Europa orbits Jupiter at a distance of 6.7 x 108 m from Jupiter's cloudtops (the surface of the planet). If Jupiter's mass is 1.9 x 1027 kg and radius is 6.8 x 107 m, what is the speed of Europa as it orbits in m/s? Round to the nearest hundredth. Don't worry about putting units, just put the number.
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