
Qualitative answer: It would get fainter.
Quantitative answer: Based on the inverse square law with
Brightness 1 , Distance^{2}
the Sun would be only 1 = 1 as bright. 2^{2} 4
Distance traveled = Earth Circumference = [ * diameter ] = 24,000 miles
Time for gaucho to make a "trip around the world" = 24 hours.
Speed = distance traveled = 24,000 miles = 1000 miles/hour time taken 24 hours
Distance traveled = circumference of Earth's orbit = x 186,000,000 miles (diameter of Earth's orbit) = 584,600,600 miles = 5.846 x 10^{8} miles
Time taken: 1 year = 365 days x 24 hours
= 8,760 hours 1 day
Speed = distance traveled = 5.846x10^{8} miles
= 66,671 miles/hour (!) time taken 8,760 hours
Suppose you knew this was somehow related to how far we travel and how long it takes, but you can't remember the exact equation. You CAN remember that "how fast" must come out in units of velocity like miles/hour. So, lets try:
Speed = Distance traveled x Time taken
The units for the multiplication on the righthand side are [miles x hours]
This can't be right. So, work backwards from the units; the way to end up with the right velocity units is clearly to take the distance traveled divided by the time taken. Then the units are: miles per hour [miles/hour]
Q. Astronomy is most closely related to:(a) Cosmetology
(b) The Human Genome Project
(c) Astrology
(d) Physics
Q. While "at" the telescope, most astronomers wear:
(a) Down jackets
(b) Trendy Patagonia Synchilla jackets
(c) Politically incorrect animal furs
(d) Bermuda shorts and loud shirts