A satellite circles the earth in an orbit whose radius is 2.23 times the earth's radius. The earth's mass is 5.98 x 1024 kg, and its radius is 6.38 x 106 m. What is the period of the satellite?

College Physics
11th Edition
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Chapter1: Units, Trigonometry. And Vectors
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### Chapter 05, Problem 36

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#### Your answer is partially correct. Try again.

A satellite circles the earth in an orbit whose radius is 2.23 times the earth's radius. The earth's mass is \( 5.98 \times 10^{24} \) kg, and its radius is \( 6.38 \times 10^{6} \) m. What is the period of the satellite?

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**Number:** 18031 ☒  
**Units:** ✓ S

*The tolerance is +/-2%*

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### Detailed Explanation of the Given Elements
- The problem contains a calculation related to satellite motion in orbital mechanics.
- The Earth’s mass (\( 5.98 \times 10^{24} \) kg) and radius (\( 6.38 \times 10^{6} \) m) are given.
- The radius of the satellite's orbit is 2.23 times that of the Earth's radius.
- A partially correct answer was provided: 18031 seconds.

This question involves the calculation of the orbital period of the satellite using the given parameters and standard gravitational equations.
Transcribed Image Text:### Chapter 05, Problem 36 --- #### Your answer is partially correct. Try again. A satellite circles the earth in an orbit whose radius is 2.23 times the earth's radius. The earth's mass is \( 5.98 \times 10^{24} \) kg, and its radius is \( 6.38 \times 10^{6} \) m. What is the period of the satellite? --- **Number:** 18031 ☒ **Units:** ✓ S *The tolerance is +/-2%* --- ### Detailed Explanation of the Given Elements - The problem contains a calculation related to satellite motion in orbital mechanics. - The Earth’s mass (\( 5.98 \times 10^{24} \) kg) and radius (\( 6.38 \times 10^{6} \) m) are given. - The radius of the satellite's orbit is 2.23 times that of the Earth's radius. - A partially correct answer was provided: 18031 seconds. This question involves the calculation of the orbital period of the satellite using the given parameters and standard gravitational equations.
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