An engineer wants a satellite to orbit the earth with a period of 28 hours. Hint: You need to find an equation for r in terms of givens (T, M and G only). Start by setting your two equations for acceleration equal. Then rearrange the orbital period equation to solve for T and substitue. Finally, solve for r and plug in! You may enter answers in scientific notation as shown: 1.23 x 105 1.23e5 At what orbital radius must the satellite orbit? How far is this above the earth's surface? m 8 earth data mass: 5.97 x 1024kg radius: 6.37 x 106m

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An engineer wants a satellite to orbit the earth with a period of 28 hours.
Hint: You need to find an equation for r in terms of givens (T, M and G only). Start by setting your two equations for
acceleration equal. Then rearrange the orbital period equation to solve for T and substitue. Finally, solve for r and plug
in!
You may enter answers in scientific notation as shown: 1.23 x 10³ - 1.23e5
At what orbital radius must the satellite orbit?
How far is this above the earth's surface?
m
į
earth data
mass: 5.97 x 1024kg
radius: 6.37 x 106m
Transcribed Image Text:An engineer wants a satellite to orbit the earth with a period of 28 hours. Hint: You need to find an equation for r in terms of givens (T, M and G only). Start by setting your two equations for acceleration equal. Then rearrange the orbital period equation to solve for T and substitue. Finally, solve for r and plug in! You may enter answers in scientific notation as shown: 1.23 x 10³ - 1.23e5 At what orbital radius must the satellite orbit? How far is this above the earth's surface? m į earth data mass: 5.97 x 1024kg radius: 6.37 x 106m
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