How much work is required to lift a 900-kg satellite to an altitude of 3· 106 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 the satellite and the Earth's center. The radius of the Earth is 6.4 · 106 mass is 6 · 1024 kg, and in these units the gravitational constant, G, is 6.67 · 10¬11. m, its

Principles of Physics: A Calculus-Based Text
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Chapter11: Gravity, Planetary Orbits, And The Hydrogen Atom
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How much work is required to lift a 900-kg satellite to
an altitude of 3· 106 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 the satellite and the
Earth's center. The radius of the Earth is 6.4 · 10° m, its
mass is 6 · 1024 kg, and in these units the gravitational
constant, G, is 6.67 · 10-11.
Work =
(include units; for this problem assume all given constants
are accurate to many significant figures.)
Transcribed Image Text:How much work is required to lift a 900-kg satellite to an altitude of 3· 106 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 the satellite and the Earth's center. The radius of the Earth is 6.4 · 10° m, its mass is 6 · 1024 kg, and in these units the gravitational constant, G, is 6.67 · 10-11. Work = (include units; for this problem assume all given constants are accurate to many significant figures.)
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