College Physics
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![### Satellite Orbital Mechanics Around Mars
Scientists want to place a 3 × 10³ kg satellite in orbit around Mars. They plan to have the satellite orbit at a speed of 2500 m/s in a perfectly circular orbit. Here is some information that may help solve this problem:
- Mass of Mars (m_mars) = 6.4191 × 10²³ kg
- Radius of Mars (r_mars) = 3.397 × 10⁶ m
- Gravitational Constant (G) = 6.67428 × 10⁻¹¹ N·m²/kg²
Please answer the following questions:
#### 1) What radius should the satellite move at in its orbit? (Measured from the center of Mars.)
\[ \text{Radius (r) = } \]
[Input Field: ____ m] [Submit]
#### 2) What is the force of attraction between Mars and the satellite?
\[ \text{Force (F) = } \]
[Input Field: ____ N] [Submit]
#### 3) What is the acceleration of the satellite in orbit?
\[ \text{Acceleration (a) = } \]
[Input Field: ____ m/s²] [Submit]
#### 4) Which of the following quantities would change the radius the satellite needs to orbit at?
- [ ] The mass of the satellite
- [ ] The mass of the planet
- [ ] The speed of the satellite
[Submit]
#### 5) What should the speed of the orbit be, if we want the satellite to take 8 times longer to complete one full revolution of its orbit?
\[ \text{New Orbital Speed = } \]
[Input Field: ____ m/s] [Submit]
### Explanation of Diagrams:
The circular orbit is represented by a dashed line around Mars, illustrating the orbit path for the satellite. There's also an icon of a satellite to indicate the satellite's position within this orbit.](https://content.bartleby.com/qna-images/question/ec5fb306-23dc-410e-b11b-a666d9f99392/94904171-5241-489f-a73b-f0570321b6bb/1hblcn_processed.jpeg)
Transcribed Image Text:### Satellite Orbital Mechanics Around Mars
Scientists want to place a 3 × 10³ kg satellite in orbit around Mars. They plan to have the satellite orbit at a speed of 2500 m/s in a perfectly circular orbit. Here is some information that may help solve this problem:
- Mass of Mars (m_mars) = 6.4191 × 10²³ kg
- Radius of Mars (r_mars) = 3.397 × 10⁶ m
- Gravitational Constant (G) = 6.67428 × 10⁻¹¹ N·m²/kg²
Please answer the following questions:
#### 1) What radius should the satellite move at in its orbit? (Measured from the center of Mars.)
\[ \text{Radius (r) = } \]
[Input Field: ____ m] [Submit]
#### 2) What is the force of attraction between Mars and the satellite?
\[ \text{Force (F) = } \]
[Input Field: ____ N] [Submit]
#### 3) What is the acceleration of the satellite in orbit?
\[ \text{Acceleration (a) = } \]
[Input Field: ____ m/s²] [Submit]
#### 4) Which of the following quantities would change the radius the satellite needs to orbit at?
- [ ] The mass of the satellite
- [ ] The mass of the planet
- [ ] The speed of the satellite
[Submit]
#### 5) What should the speed of the orbit be, if we want the satellite to take 8 times longer to complete one full revolution of its orbit?
\[ \text{New Orbital Speed = } \]
[Input Field: ____ m/s] [Submit]
### Explanation of Diagrams:
The circular orbit is represented by a dashed line around Mars, illustrating the orbit path for the satellite. There's also an icon of a satellite to indicate the satellite's position within this orbit.
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