Ask Question
16 June, 22:23

On a scale where the Sun is about the size of a grapefruit and the Earth is about 15 meters away, how far away are the nearest stars besides the Sun?

+5
Answers (1)
  1. 16 June, 23:07
    0
    The nearest star would be approximately 4064km away from the sun.

    Explanation:

    The distance between the sun and the earth (in real life) is 147.36 * 10^6 km i. e. 1.4736 * 10^11m. In the analogy, we're told the distance from the earth to the grapefruit sized sun is only 15m. Hence, if we're to find a ratio of the real distance to the analogical distance, it would be given as

    Real distance : Analogical distance

    = 1.4736*10^11 : 15

    = 9.824*10^9 : 1

    This means that 1m in the analogical scale is equivalent to 9.824*10^9m in reality.

    The nearest stars to the sun are about 4.22 light-years from the earth. In meters, that is

    4.22 light-years * 9.461 * 10^15

    = 3.9924 * 10^16m

    Note: 1 light-year = 9.461 * 10^15m

    Using the analogical scale, the nearest star would then be

    (3.9924 * 10^16) / (9.824 * 10^9) = 4063925.08m = 4063.925km

    Therefore, if the sun was the size of a grapefruit, the nearest star would be approximately 4064km away from the sun.
Know the Answer?
Not Sure About the Answer?
Get an answer to your question ✅ “On a scale where the Sun is about the size of a grapefruit and the Earth is about 15 meters away, how far away are the nearest stars ...” in 📙 Physics if there is no answer or all answers are wrong, use a search bar and try to find the answer among similar questions.
Search for Other Answers