Problem 9/Lecture 7 (Kepler's Laws) A satellite of mass 200 kg is launched from a site on Earth's equator into an orbit 200 km above the surface of Earth. (a) Assuming a circular orbit, what is the orbital period of this satellite? (b) What is the satellite's speed in its orbit? (c) What is the minimum energy necessary to place the satellite in orbit, assuming no air friction? (Note: Earth's radius = 6.38 × 106 m, Earth's Mass = 5.98 × 1024 kg) Answer: (a) 1.48 h (b) 7. 79 × 10³ m/s (c) 6.43 × 10⁹J

Principles of Physics: A Calculus-Based Text
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Chapter11: Gravity, Planetary Orbits, And The Hydrogen Atom
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Problem 9/Lecture 7 (Kepler's Laws)
A satellite of mass 200 kg is launched from a site on Earth's equator into an orbit 200 km above
the surface of Earth.
(a) Assuming a circular orbit, what is the orbital period of this satellite?
(b) What is the satellite's speed in its orbit?
(c) What is the minimum energy necessary to place the satellite in orbit, assuming no air
friction?
(Note: Earth's radius = 6.38 × 106 m, Earth's Mass = 5.98 × 1024 kg)
Answer: (a) 1.48 h (b) 7. 79 × 10³ m/s (c) 6.43 × 10⁹J
Transcribed Image Text:Problem 9/Lecture 7 (Kepler's Laws) A satellite of mass 200 kg is launched from a site on Earth's equator into an orbit 200 km above the surface of Earth. (a) Assuming a circular orbit, what is the orbital period of this satellite? (b) What is the satellite's speed in its orbit? (c) What is the minimum energy necessary to place the satellite in orbit, assuming no air friction? (Note: Earth's radius = 6.38 × 106 m, Earth's Mass = 5.98 × 1024 kg) Answer: (a) 1.48 h (b) 7. 79 × 10³ m/s (c) 6.43 × 10⁹J
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