Question

Do some research abd find out the acceleration due to gravity on the Moon and on each planet l. Calculate the gravitational force that would act on a 70- kilogram person on the surface of each site. Use your calculations to complete the table. Remember to used the same units in each calculation. Venus

Answer 1

The acceleration due to gravity varies on different celestial bodies, including the Moon and the planets in our solar system. The gravitational force (\( F \)) acting on a person can be calculated using the formula:

\[
F = m \cdot g
\]

where:
- \( F \) is the gravitational force (in newtons, N)
- \( m \) is the mass of the person (in kilograms, kg)
- \( g \) is the acceleration due to gravity on that celestial body (in meters per second squared, m/s²)

Here are the average values of acceleration due to gravity for each planet and the Moon:

- **Moon**: \( g \approx 1.625 \, \text{m/s}^2 \)
- **Mercury**: \( g \approx 3.7 \, \text{m/s}^2 \)
- **Venus**: \( g \approx 8.87 \, \text{m/s}^2 \)
- **Earth**: \( g \approx 9.81 \, \text{m/s}^2 \)
- **Mars**: \( g \approx 3.71 \, \text{m/s}^2 \)
- **Jupiter**: \( g \approx 24.79 \, \text{m/s}^2 \)
- **Saturn**: \( g \approx 10.44 \, \text{m/s}^2 \)
- **Uranus**: \( g \approx 8.69 \, \text{m/s}^2 \)
- **Neptune**: \( g \approx 11.15 \, \text{m/s}^2 \)

Now, we can calculate the gravitational force acting on a 70-kilogram person on each of these bodies:

1. **Moon**:
\[
F = 70 \, \text{kg} \times 1.625 \, \text{m/s}^2 = 113.75 \, \text{N}
\]

2. **Mercury**:
\[
F = 70 \, \text{kg} \times 3.7 \, \text{m/s}^2 = 259 \, \text{N}
\]

3. **Venus**:
\[
F = 70 \, \text{kg} \times 8.87 \, \text{m/s}^2 = 620.9 \, \text{N}
\]

4. **Earth**:
\[
F = 70 \, \text{kg} \times 9.81 \, \text{m/s}^2 = 686.7 \, \text{N}
\]

5. **Mars**:
\[
F = 70 \, \text{kg} \times 3.71 \, \text{m/s}^2 = 259.7 \, \text{N}
\]

6. **Jupiter**:
\[
F = 70 \, \text{kg} \times 24.79 \, \text{m/s}^2 = 1735.3 \, \text{N}
\]

7. **Saturn**:
\[
F = 70 \, \text{kg} \times 10.44 \, \text{m/s}^2 = 731.8 \, \text{N}
\]

8. **Uranus**:
\[
F = 70 \, \text{kg} \times 8.69 \, \text{m/s}^2 = 608.3 \, \text{N}
\]

9. **Neptune**:
\[
F = 70 \, \text{kg} \times 11.15 \, \text{m/s}^2 = 780.5 \, \text{N}
\]

Here’s a table summarizing the results:

| Celestial Body | Acceleration due to Gravity (m/s²) | Gravitational Force on 70 kg person (N) |
|----------------|--------------------------------------|-------------------------------------------|
| Moon | 1.625 | 113.75 |
| Mercury | 3.7 | 259 |
| Venus | 8.87 | 620.9 |
| Earth | 9.81 | 686.7 |
| Mars | 3.71 | 259.7 |
| Jupiter | 24.79 | 1735.3 |
| Saturn | 10.44 | 731.8 |
| Uranus | 8.69 | 608.3 |
| Neptune | 11.15 | 780.5 |

Feel free to ask if you need further information!