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Consider an earth satellite so positioned that it appears stationary to an observer on earth and serve the purpose of fixed relay station for transmission of TV and other communications .if the radius of the earth 6400km and the acceleration due to gravity on the surface of the earth is 9.8 the height of the satellite above the surface of the earth?
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Consider an earth satellite so positioned that it appears stationary t...
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Consider an earth satellite so positioned that it appears stationary t...
Introduction:
To determine the height of an earth satellite above the surface of the earth such that it appears stationary to an observer on earth, we need to consider the balance between the gravitational force and the centrifugal force acting on the satellite. This balance results in the satellite remaining in a geostationary orbit.
Formula:
The formula that relates the height of the satellite above the surface of the earth with the radius of the earth and the acceleration due to gravity is:
Where:
- h is the height of the satellite above the surface of the earth
- R is the radius of the earth
- g is the acceleration due to gravity
Steps to Calculate:
1. Substituting the given values into the formula, we have:
h = (6400 * (6400 + h)) / 9.8
2. Simplifying the equation, we get:
9.8h = 6400 * (6400 + h)
9.8h = 40960000 + 6400h
3. Rearranging the equation, we obtain:
6400h - 9.8h = 40960000
6389.2h = 40960000
4. Solving for h, we find:
h = 40960000 / 6389.2
h ≈ 6401.4 km
Conclusion:
The height of the satellite above the surface of the earth is approximately 6401.4 km. This ensures that the satellite remains in a geostationary orbit, appearing stationary to an observer on earth.
To determine the height of an earth satellite above the surface of the earth such that it appears stationary to an observer on earth, we need to consider the balance between the gravitational force and the centrifugal force acting on the satellite. This balance results in the satellite remaining in a geostationary orbit.
Formula:
The formula that relates the height of the satellite above the surface of the earth with the radius of the earth and the acceleration due to gravity is:
h = (R * (R + h)) / g
Where:
- h is the height of the satellite above the surface of the earth
- R is the radius of the earth
- g is the acceleration due to gravity
Steps to Calculate:
1. Substituting the given values into the formula, we have:
h = (6400 * (6400 + h)) / 9.8
2. Simplifying the equation, we get:
9.8h = 6400 * (6400 + h)
9.8h = 40960000 + 6400h
3. Rearranging the equation, we obtain:
6400h - 9.8h = 40960000
6389.2h = 40960000
4. Solving for h, we find:
h = 40960000 / 6389.2
h ≈ 6401.4 km
Conclusion:
The height of the satellite above the surface of the earth is approximately 6401.4 km. This ensures that the satellite remains in a geostationary orbit, appearing stationary to an observer on earth.
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Consider an earth satellite so positioned that it appears stationary to an observer on earth and serve the purpose of fixed relay station for transmission of TV and other communications .if the radius of the earth 6400km and the acceleration due to gravity on the surface of the earth is 9.8 the height of the satellite above the surface of the earth?
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Consider an earth satellite so positioned that it appears stationary to an observer on earth and serve the purpose of fixed relay station for transmission of TV and other communications .if the radius of the earth 6400km and the acceleration due to gravity on the surface of the earth is 9.8 the height of the satellite above the surface of the earth? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about Consider an earth satellite so positioned that it appears stationary to an observer on earth and serve the purpose of fixed relay station for transmission of TV and other communications .if the radius of the earth 6400km and the acceleration due to gravity on the surface of the earth is 9.8 the height of the satellite above the surface of the earth? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Consider an earth satellite so positioned that it appears stationary to an observer on earth and serve the purpose of fixed relay station for transmission of TV and other communications .if the radius of the earth 6400km and the acceleration due to gravity on the surface of the earth is 9.8 the height of the satellite above the surface of the earth?.
Consider an earth satellite so positioned that it appears stationary to an observer on earth and serve the purpose of fixed relay station for transmission of TV and other communications .if the radius of the earth 6400km and the acceleration due to gravity on the surface of the earth is 9.8 the height of the satellite above the surface of the earth? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about Consider an earth satellite so positioned that it appears stationary to an observer on earth and serve the purpose of fixed relay station for transmission of TV and other communications .if the radius of the earth 6400km and the acceleration due to gravity on the surface of the earth is 9.8 the height of the satellite above the surface of the earth? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Consider an earth satellite so positioned that it appears stationary to an observer on earth and serve the purpose of fixed relay station for transmission of TV and other communications .if the radius of the earth 6400km and the acceleration due to gravity on the surface of the earth is 9.8 the height of the satellite above the surface of the earth?.
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Consider an earth satellite so positioned that it appears stationary to an observer on earth and serve the purpose of fixed relay station for transmission of TV and other communications .if the radius of the earth 6400km and the acceleration due to gravity on the surface of the earth is 9.8 the height of the satellite above the surface of the earth?, a detailed solution for Consider an earth satellite so positioned that it appears stationary to an observer on earth and serve the purpose of fixed relay station for transmission of TV and other communications .if the radius of the earth 6400km and the acceleration due to gravity on the surface of the earth is 9.8 the height of the satellite above the surface of the earth? has been provided alongside types of Consider an earth satellite so positioned that it appears stationary to an observer on earth and serve the purpose of fixed relay station for transmission of TV and other communications .if the radius of the earth 6400km and the acceleration due to gravity on the surface of the earth is 9.8 the height of the satellite above the surface of the earth? theory, EduRev gives you an
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