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# Two satellites are in circular orbits around a planet that ## Problem 21E Chapter 13

University Physics | 13th Edition

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Problem 21E

Two satellites are in circular orbits around a planet that has radius 9.00 × 106 m. One satellite has mass 68.0 kg, orbital radius 5.00 × 107 m, and orbital speed 4800 m/s. The second satellite has mass 84.0 kg and orbital radius 3.00 × 107 m. What is the orbital speed of this second satellite?

Step-by-Step Solution:

Step 1: Orbital radius of first satellite r = 5.00 x 10 m 1 Orbital radius of second satellite r = 3.00 x 10 m7 2 Mass of first satellite m1= 68.0 kg Mass of second satellite m 284.0 kg Orbital speed of first satellite 1 = 4800 m/s Step 2: To find the orbital speed of second satellite v2 When a satellite is orbiting around a planet it experiences two forces. They are centripetal force and gravitational force. As long as the satellite is in the orbit the two forces are equal. Therefore 2 mv1 GMm 1 r1 = r12 2 v 1 =1GM ---- (1) Step 3: For the second satellite 2 mv2 GMm 2 r2 = r22 v 2 =2GM ---- (2)

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##### ISBN: 9780321675460

This textbook survival guide was created for the textbook: University Physics, edition: 13. The answer to “Two satellites are in circular orbits around a planet that has radius 9.00 × 106 m. One satellite has mass 68.0 kg, orbital radius 5.00 × 107 m, and orbital speed 4800 m/s. The second satellite has mass 84.0 kg and orbital radius 3.00 × 107 m. What is the orbital speed of this second satellite?” is broken down into a number of easy to follow steps, and 56 words. This full solution covers the following key subjects: orbital, satellite, radius, mass, speed. This expansive textbook survival guide covers 26 chapters, and 2929 solutions. University Physics was written by Patricia and is associated to the ISBN: 9780321675460. Since the solution to 21E from 13 chapter was answered, more than 390 students have viewed the full step-by-step answer. The full step-by-step solution to problem: 21E from chapter: 13 was answered by Patricia, our top Physics solution expert on 05/06/17, 06:07PM.

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