**Problem Statement:**An 8000 kg satellite is launched from the surface of the Earth and injected into a circular orbit at an altitude of 100 km above the surface of the Earth. The gravitational potential energy of the satellite in the circular orbit is calculated using the following constants:- Gravitational constant \( G = 6.67 \times 10^{-11} \, \text{N}\cdot\text{m}^2/\text{kg}^2 \)- Mass of Earth \( M_E = 5.97 \times 10^{24} \, \text{kg} \)- Radius of Earth \( R_E = 6.37 \times 10^6 \, \text{m} \)**Multiple Choice:**Choose the correct gravitational potential energy of the satellite.- \( -5.01 \times 10^{11} \, \text{J} \)- \( -4.92 \times 10^{11} \, \text{J} \)- \( -4.75 \times 10^{11} \, \text{J} \)- \( -4.02 \times 10^{11} \, \text{J} \)- \( -3.85 \times 10^{11} \, \text{J} \)

Answered: Image /qna-images/answer/c42d2f45-9159-4497-9524-e6c12b05c77e.jpg

An 8000 kg satellite is launched from the surface of the Earth and injected into a circular orbit at an altitude of 100 km above the surface of the Earth. The gravitational potential energy of the satellite in the circular orbit is (G = 6.67 x 10-11 N-m2/kg2, MẸ = 5.97 × 1024 kg, RE = 6.37 x 106 m) Multiple Choice -5.01 x 101 J. x 1011 J. -4.75 x 1011 J. -4.02 x 1011 J.

An 8000 kg satellite is launched from the surface of the Earth and injected into a circular orbit at an altitude of 100 km above the surface of the Earth. The gravitational potential energy of the satellite in the circular orbit is (G = 6.67 x 10-11 N-m2/kg2, MẸ = 5.97 × 1024 kg, RE = 6.37 x 106 m) Multiple Choice -5.01 x 101 J. x 1011 J. -4.75 x 1011 J. -4.02 x 1011 J.

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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Concept explainers

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

**Problem Statement:**

An 8000 kg satellite is launched from the surface of the Earth and injected into a circular orbit at an altitude of 100 km above the surface of the Earth. The gravitational potential energy of the satellite in the circular orbit is calculated using the following constants:
- Gravitational constant \( G = 6.67 \times 10^{-11} \, \text{N}\cdot\text{m}^2/\text{kg}^2 \)
- Mass of Earth \( M_E = 5.97 \times 10^{24} \, \text{kg} \)
- Radius of Earth \( R_E = 6.37 \times 10^6 \, \text{m} \)

**Multiple Choice:**

Choose the correct gravitational potential energy of the satellite.

- \( -5.01 \times 10^{11} \, \text{J} \)
- \( -4.92 \times 10^{11} \, \text{J} \)
- \( -4.75 \times 10^{11} \, \text{J} \)
- \( -4.02 \times 10^{11} \, \text{J} \)
- \( -3.85 \times 10^{11} \, \text{J} \)

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