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Answer :
Final answer:
In a model where the sun is scaled down to the size of a basketball, the distance from our sun to Proxima Centauri would be approximately 58 kilometers.
Explanation:
To determine the distance from our Sun to Proxima Centauri in our scaled-down model, we need to note that the scaling factor is the ratio of the basketball's radius to the sun's radius, which is 10 cm / (7 x 10⁵ km). On applying this scaling factor to the distance from the Sun to Proxima Centauri, 4.3 light years is equivalent to approximately 4.063 x 10¹³ km. Therefore, the distance in our scaled-down model would be (10 cm / 7 x 10⁵ km) * 4.063 x 10¹³ km, which computes to approximately 58 kilometers, close to the information provided in the reference material that it's almost 7000 kilometers away under a basketball analogy.
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