To determine the maximum possible distance between Mars and Neptune in a scale model, we need to consider the average distances between the two planets in the solar system and then apply a specific scale.
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Average Distance in the Solar System:
- Mars and Neptune have varying distances due to their orbits. The average distance between Mars and Neptune can range from about 4.3 billion kilometers (when they are closest) to about 4.9 billion kilometers (when they are farthest apart).
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Select a Scale:
- Suppose we decide to create a scale model where 1 astronomical unit (AU), which is the average distance from the Earth to the Sun (approximately 150 million kilometers), is represented in a specific unit in our model (such as 1 cm or 1 meter).
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Maximum Distance Calculation:
- If we consider the maximum average distance of approximately 4.9 billion kilometers:
- In AU: 4.9 billion km / 150 million km/AU ≈ 32.67 AU
- If we consider the maximum average distance of approximately 4.9 billion kilometers:
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Example of Scaling:
- If we scale down 1 AU to 1 cm:
- The maximum distance in our model between Mars and Neptune would be approximately 32.67 cm.
- If we scale down 1 AU to 1 meter:
- The maximum distance would be approximately 32.67 meters.
- If we scale down 1 AU to 1 cm:
By choosing your scale and applying it correctly to the calculated distance in astronomical units, you can represent the maximum possible distance between Mars and Neptune in your scale model.