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Answer :
Final answer:
The Earth's radius is approximately 6371.4 km or 2.06 x 10^-10 pc. A roundtrip around the sun that takes about 10^24 seconds would take about 2.78 x 10^20 hours, which is far longer than a human's life expectancy. The difference in orders of magnitude between a piece of paper's thickness and the distance to the Andromeda galaxy is 14.
Explanation:
1. To convert from miles to kilometers, we can use the conversion factor 1 mile = 1.60934 kilometers. So, the radius of the Earth is approximately 3959 miles x 1.60934 km/mile = 6371.4 km.
One parsec (pc) is approximately 3.09 x 10^13 km. So, 6371.4 km is approximately 2.06 x 10^-10 pc.
2. To convert from seconds to hours, you can divide by 3600 (since there are 3600 seconds in an hour). So, a roundtrip around the sun that takes about 10^24 seconds would take about 2.78 x 10^20 hours. Comparing this to the human life expectancy (84 years is about 735,840 hours), it's apparent that a human being would not be able to make that roundtrip within their life span.
3. The order of magnitude is the power of 10 when a number is expressed in scientific notation. The difference in orders of magnitude between a piece of paper's thickness (10^8 meters) and the distance to the Andromeda galaxy (10^22 meters) is therefore 14 orders of magnitude.
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