A 5.00 x 102-kg communications satellite is to be placed into a circular geosynchronous orbit around Earth. (A geosynchronous satellite remains in the same relative position above Earth because it has a period of 24.0 h, the same as that of Earth's rotation on its axis.) (a) What is the radius of the satellite's orbit? (b) What is the gravitational potential energy of the satellite when it is attached to its launch rocket, at rest on Earth's surface? (c) What is the total energy of the satellite when it is in geosynchronous orbit?

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A 5.00 × 10²-kg communications satellite is to be placed into a circular geosynchronous
orbit around Earth. (A geosynchronous satellite remains in the same relative position above
Earth because it has a period of 24.0 h, the same as that of Earth's rotation on its axis.)
(a) What is the radius of the satellite's orbit?
(b) What is the gravitational potential energy of the satellite when it is attached to its
launch rocket, at rest on Earth's surface?
(c) What is the total energy of the satellite when it is in geosynchronous orbit?
Transcribed Image Text:A 5.00 × 10²-kg communications satellite is to be placed into a circular geosynchronous orbit around Earth. (A geosynchronous satellite remains in the same relative position above Earth because it has a period of 24.0 h, the same as that of Earth's rotation on its axis.) (a) What is the radius of the satellite's orbit? (b) What is the gravitational potential energy of the satellite when it is attached to its launch rocket, at rest on Earth's surface? (c) What is the total energy of the satellite when it is in geosynchronous orbit?
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