Question 9 A newly discovered planet, Eagal, has two known moons, Dorainn and Bron. The table below gives some of the known information about Dorainn and Bron. Dorainn Bron Mass 1.427 x 1015 kg 1.427 x 1015 kg Radius 6.142 km Orbital Period 1.091 x 105 s Orbital Radius 23,640 km 27,650 km a. Determine the gravitational field strength at the surface of Dorainn. b. Using only the information provided for each moon and proportionality, determine Bron's orbital period. Clearly show or explain all workings. c. Use the data provided for Dorainn to determine the mass of Eagal. d. Determine the orbital speed of Bron.
Question 9 A newly discovered planet, Eagal, has two known moons, Dorainn and Bron. The table below gives some of the known information about Dorainn and Bron. Dorainn Bron Mass 1.427 x 1015 kg 1.427 x 1015 kg Radius 6.142 km Orbital Period 1.091 x 105 s Orbital Radius 23,640 km 27,650 km a. Determine the gravitational field strength at the surface of Dorainn. b. Using only the information provided for each moon and proportionality, determine Bron's orbital period. Clearly show or explain all workings. c. Use the data provided for Dorainn to determine the mass of Eagal. d. Determine the orbital speed of Bron.
Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter5: More Applications Of Newton’s Laws
Section: Chapter Questions
Problem 20P
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![Question 9
A newly discovered planet, Eagal, has two known moons, Dorainn and Bron. The table below
gives some of the known information about Dorainn and Bron.
Dorainn
Bron
Mass
1.427 x 1015 kg
1.427 x 1015 kg
Radius
6.142 km
Orbital Period
1.091 x 105 s
Orbital Radius
23,640 km
27,650 km
a. Determine the gravitational field strength at the surface of Dorainn.
b. Using only the information provided for each moon and proportionality, determine
Bron's orbital period. Clearly show or explain all workings.
c. Use the data provided for Dorainn to determine the mass of Eagal.
d. Determine the orbital speed of Bron.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7a4d9b11-261b-4129-8a9f-f76b0c56e48e%2F735c82c7-cb37-44e1-b8c8-3abf8b79c779%2Fjupzg5k_processed.png&w=3840&q=75)
Transcribed Image Text:Question 9
A newly discovered planet, Eagal, has two known moons, Dorainn and Bron. The table below
gives some of the known information about Dorainn and Bron.
Dorainn
Bron
Mass
1.427 x 1015 kg
1.427 x 1015 kg
Radius
6.142 km
Orbital Period
1.091 x 105 s
Orbital Radius
23,640 km
27,650 km
a. Determine the gravitational field strength at the surface of Dorainn.
b. Using only the information provided for each moon and proportionality, determine
Bron's orbital period. Clearly show or explain all workings.
c. Use the data provided for Dorainn to determine the mass of Eagal.
d. Determine the orbital speed of Bron.
Expert Solution
![](/static/compass_v2/shared-icons/check-mark.png)
Step 1
Given data:
Mass of each moon:
Radius of Dorainn,
Orbital period of Dorainn,
Orbital radius:
Step 2
To determine:
- Gravitational field strength at the surface of Dorainn.
- Bron's orbital period.
- Mass of Eagal.
- Orbital speed of Bron.
Step 3
Explanation:
a. Gravitational field strength can be calculated as follows:
b. Using Kepler's third law, the orbital speed of Bron can be calculated as follows:
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