According to the NASA Science Solar System Exploration web site, "Mars' moons are among the smallest in the solar system. Phobos... orbits only [6,000 kilometers] above the Martian surface. No known moon orbits closer to its planet. It whips around Mars three imes a day [24 hours]...." The radius of Mars is 3390 km. QUBA (a) What are the period, frequency, and angular speed of Phobos's orbit? langtelt of murdn al si ororby (b) If you model Phobos's orbit as a circle centered on the center of Mars, what is the tangential speed of Phobos and what acceleration does Phobos experience? c) The mass of Phobos is 1.08 x 10¹6 kg. The mass of Mars is 6.417 x 1023 kg. What is the magnitude of the gravitational attraction between Mars and Phobos? L' vá

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**Transcription for Educational Website:**

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**Title: Exploring Phobos: Mars' Mysterious Moon**

**Introduction**
According to the NASA Science Solar System Exploration website, Mars' moons are among the smallest in the solar system. Phobos, one of these moons, orbits only 6,000 kilometers above the Martian surface. No known moon orbits closer to its planet. Phobos completes its orbit around Mars three times a day (every 24 hours). The radius of Mars measures 3,390 km.

**Exercises**

**(a) Calculating Orbital Characteristics of Phobos**
- What are the period, frequency, and angular speed of Phobos's orbit?

**(b) Analyzing Phobos's Orbital Motion**
- If you model Phobos's orbit as a circle centered on the center of Mars, what is the tangential speed of Phobos and what acceleration does Phobos experience?

**(c) Gravitational Interaction**
- Given:
  - The mass of Phobos is \(1.08 \times 10^{16}\) kg.
  - The mass of Mars is \(6.417 \times 10^{23}\) kg.
- What is the magnitude of the gravitational attraction between Mars and Phobos?

**Conclusion**
Understanding the dynamics of Phobos' orbit helps us learn more about gravitational interactions and celestial mechanics in our solar system.

---

**Graph/Diagram Explanation:**
- There are no graphs or diagrams in the provided text. If any visual aids were included, they would likely depict the orbit of Phobos around Mars, the relative sizes of the two bodies, or vector representations of forces and speeds involved.
Transcribed Image Text:**Transcription for Educational Website:** --- **Title: Exploring Phobos: Mars' Mysterious Moon** **Introduction** According to the NASA Science Solar System Exploration website, Mars' moons are among the smallest in the solar system. Phobos, one of these moons, orbits only 6,000 kilometers above the Martian surface. No known moon orbits closer to its planet. Phobos completes its orbit around Mars three times a day (every 24 hours). The radius of Mars measures 3,390 km. **Exercises** **(a) Calculating Orbital Characteristics of Phobos** - What are the period, frequency, and angular speed of Phobos's orbit? **(b) Analyzing Phobos's Orbital Motion** - If you model Phobos's orbit as a circle centered on the center of Mars, what is the tangential speed of Phobos and what acceleration does Phobos experience? **(c) Gravitational Interaction** - Given: - The mass of Phobos is \(1.08 \times 10^{16}\) kg. - The mass of Mars is \(6.417 \times 10^{23}\) kg. - What is the magnitude of the gravitational attraction between Mars and Phobos? **Conclusion** Understanding the dynamics of Phobos' orbit helps us learn more about gravitational interactions and celestial mechanics in our solar system. --- **Graph/Diagram Explanation:** - There are no graphs or diagrams in the provided text. If any visual aids were included, they would likely depict the orbit of Phobos around Mars, the relative sizes of the two bodies, or vector representations of forces and speeds involved.
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