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If the solar system were the size of your campus, how far away would the nearest star be?
About a mile away.
About 100 miles away.
About 2,000 miles away.
An infinite distance away.


Sagot :

The solar system is very large with the boundaries located around the Orth cloud 100,000 Astronomical Units away

The correct option for, the distance to the nearest star if the solar system were the size of a campus is the option;

About a mile away

The reason the above selection is correct is as follows:

  • The nearest star to the solar system is Proxima Centauri
  • The distance of the nearest star to the solar system from Earth is 40,208,000,000,000 kilometers away
  • The area of the solar system is about (π × (10⁵ × 149.6 × 10⁶)²) km²
  • The size of one of the largest campus can be taken as 27,000 acres = 109.2651 km²

The ratio of the area of the solar system to the area of a campus = (π × (10⁵ × 149.6 × 10⁶)²)/(109.2651) = 6.4347487 × 10²⁴

Therefore, the linear scale factor ≈ √(6.4347487 × 10²⁴) ≈ 2.5366807 × 10¹²

Therefore, the corresponding distance to the distance of the nearest star to the solar system, X is given as follows;

X = (40,208,000,000,000 km)/(2.5366807 × 10¹²) ≈ 15.85 km ≈ 9.85 miles

Given that compared with the largest campus the distance is at most approximately 9.85 mile, if the solar system is taken to be a much smaller campus, the distance of the closest star Proxima Centauri will be about a mile away

Learn more about the solar system here

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