33. The average distance separating Earth and the Moon is 384 000 km. Use the data in Table 7.3 to find the net grav- itational force exerted by Earth and the Moon on a 3.00 x 104-kg spaceship located halfway between them.

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33. The average distance separating Earth and the Moon is 384,000 km. Use the data in Table 7.3 to find the net gravitational force exerted by Earth and the Moon on a 3.00 × 10^4-kg spaceship located halfway between them.
Transcribed Image Text:33. The average distance separating Earth and the Moon is 384,000 km. Use the data in Table 7.3 to find the net gravitational force exerted by Earth and the Moon on a 3.00 × 10^4-kg spaceship located halfway between them.
### Table 7.3: Useful Planetary Data

This table presents essential data on various celestial bodies, including planets, the Moon, and the Sun. Each row provides details for a specific body, covering mass, mean radius, orbital period, mean distance from the Sun, and a calculated value for \( \frac{T^2}{r^3} \times 10^{-19} \, \left( \frac{\text{s}^2}{\text{m}^3} \right) \).

#### Data Columns:

- **Body**: The name of the celestial body.
- **Mass (kg)**: The mass of each body in kilograms.
- **Mean Radius (m)**: The average radius in meters.
- **Period (s)**: The orbital period in seconds.
- **Mean Distance from Sun (m)**: The average distance from the Sun in meters.
- **\( \frac{T^2}{r^3} \times 10^{-19} \, \left( \frac{\text{s}^2}{\text{m}^3} \right) \)**: A calculated ratio indicating orbital characteristics.

#### Celestial Bodies Data:

1. **Mercury**
   - Mass: \(3.18 \times 10^{23}\)
   - Mean Radius: \(2.43 \times 10^6\)
   - Period: \(7.60 \times 10^6\)
   - Distance: \(5.79 \times 10^{10}\)
   - Ratio: 2.97

2. **Venus**
   - Mass: \(4.88 \times 10^{24}\)
   - Mean Radius: \(6.06 \times 10^6\)
   - Period: \(1.94 \times 10^7\)
   - Distance: \(1.08 \times 10^{11}\)
   - Ratio: 2.99

3. **Earth**
   - Mass: \(5.98 \times 10^{24}\)
   - Mean Radius: \(6.38 \times 10^6\)
   - Period: \(3.156 \times 10^7\)
   - Distance: \(1.496 \times 10^{11}\)
   - Ratio: 2.97

4. **Mars**
   - Mass: \(6.42 \times
Transcribed Image Text:### Table 7.3: Useful Planetary Data This table presents essential data on various celestial bodies, including planets, the Moon, and the Sun. Each row provides details for a specific body, covering mass, mean radius, orbital period, mean distance from the Sun, and a calculated value for \( \frac{T^2}{r^3} \times 10^{-19} \, \left( \frac{\text{s}^2}{\text{m}^3} \right) \). #### Data Columns: - **Body**: The name of the celestial body. - **Mass (kg)**: The mass of each body in kilograms. - **Mean Radius (m)**: The average radius in meters. - **Period (s)**: The orbital period in seconds. - **Mean Distance from Sun (m)**: The average distance from the Sun in meters. - **\( \frac{T^2}{r^3} \times 10^{-19} \, \left( \frac{\text{s}^2}{\text{m}^3} \right) \)**: A calculated ratio indicating orbital characteristics. #### Celestial Bodies Data: 1. **Mercury** - Mass: \(3.18 \times 10^{23}\) - Mean Radius: \(2.43 \times 10^6\) - Period: \(7.60 \times 10^6\) - Distance: \(5.79 \times 10^{10}\) - Ratio: 2.97 2. **Venus** - Mass: \(4.88 \times 10^{24}\) - Mean Radius: \(6.06 \times 10^6\) - Period: \(1.94 \times 10^7\) - Distance: \(1.08 \times 10^{11}\) - Ratio: 2.99 3. **Earth** - Mass: \(5.98 \times 10^{24}\) - Mean Radius: \(6.38 \times 10^6\) - Period: \(3.156 \times 10^7\) - Distance: \(1.496 \times 10^{11}\) - Ratio: 2.97 4. **Mars** - Mass: \(6.42 \times
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