**Geosynchronous Satellite and Orbital Radius Calculation****Figure 1** illustrates a geosynchronous satellite, which orbits the Earth once every 24 hours. This type of satellite, when in an equatorial orbit, appears stationary relative to a ground station and is referred to as a geostationary satellite.**Problem Description - Part A**Determine the radius \( R \) of the orbit of a geosynchronous satellite that circles the Earth. Note that \( R \) is measured from the center of the Earth, not the Earth's surface. Use the constants provided for this calculation:- The universal gravitational constant \( G \) is \( 6.67 \times 10^{-11} \, \text{N m}^2/\text{kg}^2 \).- The mass of the Earth is \( 5.98 \times 10^{24} \, \text{kg} \).- The radius of the Earth is \( 6.38 \times 10^6 \, \text{m} \).**Task**Express your answer numerically in meters to three significant figures.**Figure Description**The diagram includes:- The Earth represented as a sphere.- The orbit of the satellite with a radius labeled as \( R \).- A satellite shown on the orbital path, indicating the position of the satellite in relation to the Earth. The question requires entering the calculated value for \( R \) within the provided input field, and then submitting the result.

Answered: Image /qna-images/answer/4825ea3b-a332-4687-b8e1-d4395e0240f3.jpg

(Figure 1) shows a a geosynchronous satellite, which is a satellite that goes around the Earth once every 24 hours. If a geosynchronous satellite is in an equatorial orbit, its position appears stationary with respect to a ground station, and it is known as a geostationary satellite. Part A Find the radius R of the orbit of a geosynchronous satellite that circles the Earth. (Note that Ris measured from the center of the Earth, not the surface of the Earth.) Use the following values if needed in this problem: Figure < 1 of 1 • The universal gravitational constant G is 6.67 x 10 11 N m2/kg?. The mass of the earth is 5.98 x 1024 kg. • The radius of the earth is 6.38 x 106 m. Express your answer numerically in meters to three significant figures. > View Available Hint(s) ? R = m Submit

(Figure 1) shows a a geosynchronous satellite, which is a satellite that goes around the Earth once every 24 hours. If a geosynchronous satellite is in an equatorial orbit, its position appears stationary with respect to a ground station, and it is known as a geostationary satellite. Part A Find the radius R of the orbit of a geosynchronous satellite that circles the Earth. (Note that Ris measured from the center of the Earth, not the surface of the Earth.) Use the following values if needed in this problem: Figure < 1 of 1 • The universal gravitational constant G is 6.67 x 10 11 N m2/kg?. The mass of the earth is 5.98 x 1024 kg. • The radius of the earth is 6.38 x 106 m. Express your answer numerically in meters to three significant figures. > View Available Hint(s) ? R = m Submit

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Central Force

Central force is the force that acts along the center of mass of one body to the center of mass of another body. Its direction from or away from a point on a body to another is called the center of the force. Such forces include gravitational force between two massive objects or electrostatic forces between two charged particles. So from atoms to planets, the central forces play an important role in shaping our daily lives. One of the remarkable features of central forces is that they are conservative, i.e. the total energy of a central force system can always be expressed as a gradient of a potential energy function.

Question

**Geosynchronous Satellite and Orbital Radius Calculation**

**Figure 1** illustrates a geosynchronous satellite, which orbits the Earth once every 24 hours. This type of satellite, when in an equatorial orbit, appears stationary relative to a ground station and is referred to as a geostationary satellite.

**Problem Description - Part A**

Determine the radius \( R \) of the orbit of a geosynchronous satellite that circles the Earth. Note that \( R \) is measured from the center of the Earth, not the Earth's surface. Use the constants provided for this calculation:

- The universal gravitational constant \( G \) is \( 6.67 \times 10^{-11} \, \text{N m}^2/\text{kg}^2 \).
- The mass of the Earth is \( 5.98 \times 10^{24} \, \text{kg} \).
- The radius of the Earth is \( 6.38 \times 10^6 \, \text{m} \).

**Task**

Express your answer numerically in meters to three significant figures.

**Figure Description**

The diagram includes:

- The Earth represented as a sphere.
- The orbit of the satellite with a radius labeled as \( R \).
- A satellite shown on the orbital path, indicating the position of the satellite in relation to the Earth.

The question requires entering the calculated value for \( R \) within the provided input field, and then submitting the result.

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