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Two satellites are in circular orbits around a planet that has radius 9.00 x 10^6 m . One satellite has mass 68.0 kg, orbital radius 5.00 x 10^7 m, and orbital speed 4800 m/s. The second satellite has mass 84.0 kg and orbital radius 3.00 x 10^7 m. What is the orbital speed of this second satellite?
A: 6192 m/s
B: 6152 m/s
C: 6132 m/s
D: 6122 m/s
Correct answer is option 'A'. Can you explain this answer?
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Two satellites are in circular orbits around a planet that has radius ...
Here v1, = 4800 m/sec; R1 = 5 x 107m, R2 = 3 x 107 m, v2 = ?
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Two satellites are in circular orbits around a planet that has radius ...
Given data:
Mass of first satellite, m1 = 68.0 kg
Orbital radius of first satellite, r1 = 5.00 x 107 m
Orbital speed of first satellite, v1 = 4800 m/s
Mass of second satellite, m2 = 84.0 kg
Orbital radius of second satellite, r2 = 3.00 x 107 m
Radius of planet, R = 9.00 x 106 m
Formula used:
Newton's Law of Gravitation: F = G(m1m2/r2)
Centripetal force, F = m2v2^2/r2
Solution:
1. Finding the gravitational force between the planet and the first satellite:
F1 = G(m1m2/r1^2)
Where G is the universal gravitational constant, G = 6.67 x 10^-11 Nm^2/kg^2
Substituting the given values, we get:
F1 = 6.67 x 10^-11 x 68.0 x 5.00 x 107 / (5.00 x 107)^2 = 2.01 x 10^6 N
2. Equating the gravitational force to the centripetal force on the first satellite:
F1 = m1v1^2/r1
Substituting the given values, we get:
2.01 x 10^6 = 68.0 x 4800^2 / 5.00 x 107
Solving for v1, we get:
v1 = 4800 m/s
3. Finding the gravitational force between the planet and the second satellite:
F2 = G(m1m2/r2^2)
Substituting the given values, we get:
F2 = 6.67 x 10^-11 x 68.0 x 84.0 / (3.00 x 107)^2 = 1.30 x 10^6 N
4. Equating the gravitational force to the centripetal force on the second satellite:
F2 = m2v2^2/r2
Substituting the given values, we get:
1.30 x 10^6 = 84.0 x v2^2 / 3.00 x 107
Solving for v2, we get:
v2 = 6192 m/s
Therefore, the orbital speed of the second satellite is 6192 m/s, which is closest to option 'A'.
Mass of first satellite, m1 = 68.0 kg
Orbital radius of first satellite, r1 = 5.00 x 107 m
Orbital speed of first satellite, v1 = 4800 m/s
Mass of second satellite, m2 = 84.0 kg
Orbital radius of second satellite, r2 = 3.00 x 107 m
Radius of planet, R = 9.00 x 106 m
Formula used:
Newton's Law of Gravitation: F = G(m1m2/r2)
Centripetal force, F = m2v2^2/r2
Solution:
1. Finding the gravitational force between the planet and the first satellite:
F1 = G(m1m2/r1^2)
Where G is the universal gravitational constant, G = 6.67 x 10^-11 Nm^2/kg^2
Substituting the given values, we get:
F1 = 6.67 x 10^-11 x 68.0 x 5.00 x 107 / (5.00 x 107)^2 = 2.01 x 10^6 N
2. Equating the gravitational force to the centripetal force on the first satellite:
F1 = m1v1^2/r1
Substituting the given values, we get:
2.01 x 10^6 = 68.0 x 4800^2 / 5.00 x 107
Solving for v1, we get:
v1 = 4800 m/s
3. Finding the gravitational force between the planet and the second satellite:
F2 = G(m1m2/r2^2)
Substituting the given values, we get:
F2 = 6.67 x 10^-11 x 68.0 x 84.0 / (3.00 x 107)^2 = 1.30 x 10^6 N
4. Equating the gravitational force to the centripetal force on the second satellite:
F2 = m2v2^2/r2
Substituting the given values, we get:
1.30 x 10^6 = 84.0 x v2^2 / 3.00 x 107
Solving for v2, we get:
v2 = 6192 m/s
Therefore, the orbital speed of the second satellite is 6192 m/s, which is closest to option 'A'.
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Two satellites are in circular orbits around a planet that has radius 9.00 x 10^6 m . One satellite has mass 68.0 kg, orbital radius 5.00 x 10^7 m, and orbital speed 4800 m/s. The second satellite has mass 84.0 kg and orbital radius 3.00 x 10^7 m. What is the orbital speed of this second satellite?A: 6192 m/sB: 6152 m/sC: 6132 m/sD: 6122 m/sCorrect answer is option 'A'. Can you explain this answer?
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Two satellites are in circular orbits around a planet that has radius 9.00 x 10^6 m . One satellite has mass 68.0 kg, orbital radius 5.00 x 10^7 m, and orbital speed 4800 m/s. The second satellite has mass 84.0 kg and orbital radius 3.00 x 10^7 m. What is the orbital speed of this second satellite?A: 6192 m/sB: 6152 m/sC: 6132 m/sD: 6122 m/sCorrect answer is option 'A'. Can you explain this answer? for Class 11 2024 is part of Class 11 preparation. The Question and answers have been prepared according to the Class 11 exam syllabus. Information about Two satellites are in circular orbits around a planet that has radius 9.00 x 10^6 m . One satellite has mass 68.0 kg, orbital radius 5.00 x 10^7 m, and orbital speed 4800 m/s. The second satellite has mass 84.0 kg and orbital radius 3.00 x 10^7 m. What is the orbital speed of this second satellite?A: 6192 m/sB: 6152 m/sC: 6132 m/sD: 6122 m/sCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two satellites are in circular orbits around a planet that has radius 9.00 x 10^6 m . One satellite has mass 68.0 kg, orbital radius 5.00 x 10^7 m, and orbital speed 4800 m/s. The second satellite has mass 84.0 kg and orbital radius 3.00 x 10^7 m. What is the orbital speed of this second satellite?A: 6192 m/sB: 6152 m/sC: 6132 m/sD: 6122 m/sCorrect answer is option 'A'. Can you explain this answer?.
Two satellites are in circular orbits around a planet that has radius 9.00 x 10^6 m . One satellite has mass 68.0 kg, orbital radius 5.00 x 10^7 m, and orbital speed 4800 m/s. The second satellite has mass 84.0 kg and orbital radius 3.00 x 10^7 m. What is the orbital speed of this second satellite?A: 6192 m/sB: 6152 m/sC: 6132 m/sD: 6122 m/sCorrect answer is option 'A'. Can you explain this answer? for Class 11 2024 is part of Class 11 preparation. The Question and answers have been prepared according to the Class 11 exam syllabus. Information about Two satellites are in circular orbits around a planet that has radius 9.00 x 10^6 m . One satellite has mass 68.0 kg, orbital radius 5.00 x 10^7 m, and orbital speed 4800 m/s. The second satellite has mass 84.0 kg and orbital radius 3.00 x 10^7 m. What is the orbital speed of this second satellite?A: 6192 m/sB: 6152 m/sC: 6132 m/sD: 6122 m/sCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two satellites are in circular orbits around a planet that has radius 9.00 x 10^6 m . One satellite has mass 68.0 kg, orbital radius 5.00 x 10^7 m, and orbital speed 4800 m/s. The second satellite has mass 84.0 kg and orbital radius 3.00 x 10^7 m. What is the orbital speed of this second satellite?A: 6192 m/sB: 6152 m/sC: 6132 m/sD: 6122 m/sCorrect answer is option 'A'. Can you explain this answer?.
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