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The Earth is about 12,760 km in diameter and about 150 million kilometers away from the Sun. The nearest stars besides the Sun are about 4.3 light-years away (1 light-year equals [tex]9.5 \times 10^{12}[/tex] km).

At a scale of 1 to 10 billion, the Sun would be about the size of a grapefruit.

1. How big would the Earth be on this scale?
2. How far away would the Earth be on this scale?
3. How far would the nearest stars (besides the Sun) be on this scale?

Answer :

On a scale of 1 to 10 billion, the Earth would be about the size of a small pinhead, and it would be located approximately 1.5 meters (or about 5 feet) away from the grapefruit-sized Sun.

The nearest stars besides the Sun, which are about 4.3 light-years away in reality, would be situated at a distance of approximately 43 kilometers (or about 27 miles) on this scale.

To put this into perspective, when scaled down like this, the vast distances of space become more comprehensible. The Earth is incredibly tiny compared to the Sun, which itself is only the size of a grapefruit.

The nearest stars, while still quite distant on this scale, are much closer in relative terms than their actual distance of 4.3 light-years.

It highlights just how vast the universe is and how immense the scales involved in astronomy can be, making it easier for us to grasp these concepts in a more relatable way.

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Rewritten by : Barada

Answer:

0.00128 m = ;

15 m;

950000 m (950 km)

Step-by-step explanation:

The scale to be used is 1 to 10​ billion (1 : 10,000,000,000)

The earth is about​ 12,760 km (12760000 m) in diameter and about 150 million km (150000000000 m) away from the sun.

Therefore, using this scale, we just have to divide the diameter and distance of the earth from the sun by 10,000,000,000:

Diameter = 12760000 / 10000000000 = 0.00128 m

Distance = 150000000000 / 10000000000 = 15 m

The nearest stars besides the Sun are about 4.3​ light-years away​ (1 ​light-year equals = [tex]9.5 * 10^{12} km[/tex] = 9500000000000000 m​). Therefore, using the scale:

Distance = 9500000000000000 / 10000000000 = 950000 m = 950 km