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Answer :
Final Answer:
Alpha Centauri A is approximately 4.068 x 10¹⁶ meters (or about 4.07 x 10¹⁶ meters) away, which is approximately 4.07 x 10¹³ kilometers. Our sun, which is 93,000,000 miles away, is approximately 1.496 x 10⁻⁵ light years away from Earth.
Explanation:
1. Distance to Alpha Centauri A:
- Speed of light (c) = 3 x 10⁸ m/s
- Time = 4.3 years (since it's 4.3 light years away)
To find the distance (D) covered by light in 4.3 years, we can use the formula: D = c * t.
D = (3 x 10⁸ m/s) * (4.3 years * 365 days/year * 24 hours/day * 3600 seconds/hour)
D ≈ 4.068 x 10¹⁶ meters
To express this in kilometers, we can convert meters to kilometers:
D ≈ 4.068 x 10¹⁶ meters ≈ 4.07 x 10¹³ kilometers
2. Distance to the Sun:
- Distance to the Sun = 93,000,000 miles
- Conversion factor: 1 mile = 1609 meters
First, we need to convert the distance from miles to meters:
Distance to the Sun = 93,000,000 miles * 1609 meters/mile
Next, we can convert the distance in meters to light years:
- Speed of light (c) = 3 x 10⁸ m/s
- 1 light year = (3.1536 x 10⁷ seconds/year) * (3 x 10⁸ m/s)
Distance to the Sun (light years) = Distance to the Sun (meters) / (3 x 10⁸ m/s * 3.1536 x 10⁷ seconds/year)
Distance to the Sun (light years) ≈ 1.496 x 10⁻⁵ light years
So, Alpha Centauri A is approximately 4.07 x 10¹³ kilometers away, and our sun is approximately 1.496 x 10⁻⁵ light years away from Earth.
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