kilograms v² = (6.7.10-¹ metric units) (5.9742 1024 kilograms)/(6.75.10° meters) So, 4. Do the math. You are calculating the necessary speed required to keep the ISS in orbit. Your units will be in meters per second. (you must take the square root of your calculations to find V.) 5. Change your answer to problem 4 to miles per hour. 6 This is approximately how fast the ISS is traveling around the earth. Now change the radius of the earth from kilometers to miles (approximate radius of Earth = 6.380

Physics for Scientists and Engineers: Foundations and Connections
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Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter7: Gravity
Section: Chapter Questions
Problem 14PQ: Since 1995, hundreds of extrasolar planets have been discovered. There is the exciting possibility...
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r = the objects distance from the center of the Earth
(Earth has an approximate radius of 6,380 kilometers) If we want the ISS to
circle the earth at about 230 miles (370 kilometers) away from the earth's
surface, we must use 6380 +370 6750 kilometers or 6,750,000
meters for the distance that the ISS is from the center of the Earth.
G = gravitational constant (6.7 x 10¹¹ metric units (known as Big G)
And m = mass of the Earth = 5.9742 x 1024 kilograms
v² = (6.7.10-¹¹ metric units) (5.9742 10²4 kilograms)/(6.75.10° meters)
●
So,
4. Do the math. You are calculating the necessary speed required to keep the ISS in orbit. Your
units will be in meters per second. (you must take the square root of your calculations to find V.)
5. Change your answer to problem 4 to miles per hour.
This is approximately how fast the ISS is traveling around the earth.
6. Now change the radius of the earth from kilometers to miles. (approximate radius of Earth = 6,380
kilometers)
7. Lets figure out the length of the Space Station's trip as it travels once around the earth = length of
orbit. The ISS is 230 miles above the earth. To find the circumference of the circular orbit, you
will need to add the radius of the Earth to the 230 miles above the earth. What is the length in
miles of its orbit?
8. At the speed that you calculated in problem 4, how long will it take the ISS to circle the Earth?
(Don't forget the unit of your time.)
Transcribed Image Text:r = the objects distance from the center of the Earth (Earth has an approximate radius of 6,380 kilometers) If we want the ISS to circle the earth at about 230 miles (370 kilometers) away from the earth's surface, we must use 6380 +370 6750 kilometers or 6,750,000 meters for the distance that the ISS is from the center of the Earth. G = gravitational constant (6.7 x 10¹¹ metric units (known as Big G) And m = mass of the Earth = 5.9742 x 1024 kilograms v² = (6.7.10-¹¹ metric units) (5.9742 10²4 kilograms)/(6.75.10° meters) ● So, 4. Do the math. You are calculating the necessary speed required to keep the ISS in orbit. Your units will be in meters per second. (you must take the square root of your calculations to find V.) 5. Change your answer to problem 4 to miles per hour. This is approximately how fast the ISS is traveling around the earth. 6. Now change the radius of the earth from kilometers to miles. (approximate radius of Earth = 6,380 kilometers) 7. Lets figure out the length of the Space Station's trip as it travels once around the earth = length of orbit. The ISS is 230 miles above the earth. To find the circumference of the circular orbit, you will need to add the radius of the Earth to the 230 miles above the earth. What is the length in miles of its orbit? 8. At the speed that you calculated in problem 4, how long will it take the ISS to circle the Earth? (Don't forget the unit of your time.)
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