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bellojamilet410
19.06.2020 •
Mathematics
"Opportunity" and "Phoenix" are two of the robotic explorers on Mars. Opportunity landed at 2° south latitude, where Mars’ radius is about 2110 miles. Phoenix landed at 68° north latitude, where Mars’ radius is about 790 miles. Mars rotates on its axis once every 24.6 Earth-hours. How far does each explorer travel as Mars rotates by 1 radian? How many hours does it take Mars to rotate 1 radian? Using this answer, how fast is each explorer traveling around Mars’ axis in miles per hour?
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Ответ:
(a)Distance traveled by each explorer travel as Mars rotates by 1 radian
Opportunity=2108.71 milesPhoenix =295.94 miles(b)Number of hours it takes Mars to rotate 1 radian=3.9152 hours
(c)Speed of each explorer around Mars.
Opportunity=538.59 miles per hourPhoenix =75.59 miles per hourStep-by-step explanation:
Part A
For any given parallel of latitude![\text{Circumference}=2\pi R \cos \beta$ where \beta$ is the angle of latitude.](/tpl/images/0689/7365/8c325.png)
Opportunity landed at 2° south latitude, where Mars’ radius is about 2110 miles.
Phoenix landed at 68° north latitude, where Mars’ radius is about 790 miles.
Part B
Next, we determine the distance (Length of arc) covered by each explorer as Mars rotates by 1 radian.
Opportunity's Distance
Phoenix's Distance
Part C
Mars rotates on its axis once every 24.6 Earth-hours.
Therefore:
Part D:Speed of each explorer
Ответ:
b=(30×6)+29
Step-by-step explanation:
Hope this helps :)