To arrange the planets in increasing order based on a person's weight, we need to consider the acceleration due to gravity on each planet. A person’s weight on a planet is directly proportional to the planet’s gravity.
Here are the gravities provided:
- Mercury: \(3.7 \, m/s^2\)
- Earth: \(9.8 \, m/s^2\)
- Neptune: \(11.2 \, m/s^2\)
- Uranus: \(8.9 \, m/s^2\)
Now, we need to arrange these gravities in increasing order:
1. Mercury: \(3.7 \, m/s^2\)
2. Uranus: \(8.9 \, m/s^2\)
3. Earth: \(9.8 \, m/s^2\)
4. Neptune: \(11.2 \, m/s^2\)
Therefore, the order of the planets from lowest to highest weight (which corresponds to increasing gravity) is:
- Mercury
- Uranus
- Earth
- Neptune
So, the planets arranged in increasing order based on a person’s weight on the planet are:
- Mercury
- Uranus
- Earth
- Neptune
