A student needs to calculate the orbital periods for various satellites, of mass, m, and orbital radii, r, orbiting earth as shown. m [kg] 400 800 400 400 400 r[m] 1.20 x 107 1.20 x 107 2.40 x 107 3.60 x 107 4.80 x 107 T [hours] m earth data mass: 5.97 x 10²4kg radius: 6.37 x 106m
A student needs to calculate the orbital periods for various satellites, of mass, m, and orbital radii, r, orbiting earth as shown. m [kg] 400 800 400 400 400 r[m] 1.20 x 107 1.20 x 107 2.40 x 107 3.60 x 107 4.80 x 107 T [hours] m earth data mass: 5.97 x 10²4kg radius: 6.37 x 106m
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![### Orbital Period Calculation for Satellites
A student needs to calculate the orbital periods for various satellites with different masses \( m \) and orbital radii \( r \), orbiting Earth as shown.
#### Satellite Data Table
| \( m \) [kg] | \( r \) [m] | \( T \) [hours] |
|--------------|----------------------|-----------------|
| 400 | \( 1.20 \times 10^7 \) | [ ] |
| 800 | \( 1.20 \times 10^7 \) | [ ] |
| 400 | \( 2.40 \times 10^7 \) | [ ] |
| 400 | \( 3.60 \times 10^7 \) | [ ] |
| 400 | \( 4.80 \times 10^7 \) | [ ] |
#### Diagram Description
The diagram depicts a satellite of mass \( m \) orbiting Earth at a distance \( r \) from the center of the Earth. The satellite’s path is illustrated as a dotted circle around the Earth.
**Earth Data:**
- Mass: \( 5.97 \times 10^{24} \) kg
- Radius: \( 6.37 \times 10^6 \) m
Use this data to understand the relationship between the mass, orbital radius, and orbital period of a satellite around Earth.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb3775607-704b-46c9-9d82-255ef12a8c56%2F7c71786c-5fba-48a1-987d-82194d7798d1%2Fzo6lfj_processed.png&w=3840&q=75)
Transcribed Image Text:### Orbital Period Calculation for Satellites
A student needs to calculate the orbital periods for various satellites with different masses \( m \) and orbital radii \( r \), orbiting Earth as shown.
#### Satellite Data Table
| \( m \) [kg] | \( r \) [m] | \( T \) [hours] |
|--------------|----------------------|-----------------|
| 400 | \( 1.20 \times 10^7 \) | [ ] |
| 800 | \( 1.20 \times 10^7 \) | [ ] |
| 400 | \( 2.40 \times 10^7 \) | [ ] |
| 400 | \( 3.60 \times 10^7 \) | [ ] |
| 400 | \( 4.80 \times 10^7 \) | [ ] |
#### Diagram Description
The diagram depicts a satellite of mass \( m \) orbiting Earth at a distance \( r \) from the center of the Earth. The satellite’s path is illustrated as a dotted circle around the Earth.
**Earth Data:**
- Mass: \( 5.97 \times 10^{24} \) kg
- Radius: \( 6.37 \times 10^6 \) m
Use this data to understand the relationship between the mass, orbital radius, and orbital period of a satellite around Earth.
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