Scientists want to place a 3 x 10³ kg satellite in orbit around Mars. They plan to have the satellite orbit a distance equal to 1.8 times the radius of Mars above the surface of the planet. Here is some information that will help solve this problem: mmars = 6.4191 x 1023 kg mars = 3.397 x 105 m G = 6.67428 x 10-11 N-m²/kg² 1) What is the force of attraction between Mars and the satellite? N Submit 2) What speed should the satellite have to be in a perfectly circular orbit? m/s Submit 3) How much time does it take the satellite to complete one revolution? hrs Submit (+

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### Satellite Orbiting Mars: A Physics Problem

Scientists want to place a \(3 \times 10^3\) kg satellite in orbit around Mars. They plan to have the satellite orbit a distance equal to 1.8 times the radius of Mars above the surface of the planet. Here is some information that will help solve this problem:

- Mass of Mars (\(m_{\text{mars}}\)): \(6.4191 \times 10^{23}\) kg
- Radius of Mars (\(r_{\text{mars}}\)): \(3.397 \times 10^6\) m
- Gravitational constant (\(G\)): \(6.67428 \times 10^{-11}\) N m\(^2\) kg\(^{-2}\)

#### Questions:

1. **What is the force of attraction between Mars and the satellite?**  
    - Input: \( \_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_ \) N  
    - [Submit Button]

2. **What speed should the satellite have to be in a perfectly circular orbit?**  
    - Input: \( \_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_ \) m/s  
    - [Submit Button]

3. **How much time does it take the satellite to complete one revolution?**  
    - Input: \( \_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_ \) hrs  
    - [Submit Button]

4. **Which of the following quantities would change the speed the satellite needs to orbit at?**  
    - [ ] the mass of the satellite  
    - [ ] the mass of the planet  
    - [ ] the radius of the orbit  
    - [Submit Button]

5. **What should the radius of the orbit be (measured from the center of Mars), if we want the satellite to take 8 times longer to complete one full revolution of its orbit?**  
    - Input: \( \_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_ \) m
Transcribed Image Text:### Satellite Orbiting Mars: A Physics Problem Scientists want to place a \(3 \times 10^3\) kg satellite in orbit around Mars. They plan to have the satellite orbit a distance equal to 1.8 times the radius of Mars above the surface of the planet. Here is some information that will help solve this problem: - Mass of Mars (\(m_{\text{mars}}\)): \(6.4191 \times 10^{23}\) kg - Radius of Mars (\(r_{\text{mars}}\)): \(3.397 \times 10^6\) m - Gravitational constant (\(G\)): \(6.67428 \times 10^{-11}\) N m\(^2\) kg\(^{-2}\) #### Questions: 1. **What is the force of attraction between Mars and the satellite?** - Input: \( \_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_ \) N - [Submit Button] 2. **What speed should the satellite have to be in a perfectly circular orbit?** - Input: \( \_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_ \) m/s - [Submit Button] 3. **How much time does it take the satellite to complete one revolution?** - Input: \( \_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_ \) hrs - [Submit Button] 4. **Which of the following quantities would change the speed the satellite needs to orbit at?** - [ ] the mass of the satellite - [ ] the mass of the planet - [ ] the radius of the orbit - [Submit Button] 5. **What should the radius of the orbit be (measured from the center of Mars), if we want the satellite to take 8 times longer to complete one full revolution of its orbit?** - Input: \( \_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_ \) m
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