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An engineer wants a satellite to orbit the earth with a period of 32 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 Tand substitue. Finally, solve for rand plug in! You may enter answers scientific notation as shown: 1.23 x 105 = 1.23e5 At what orbital radius must the satellite orbit? m How far is this above the earth's surface? At what speed does the satellite need to orbit? earth data m/s mass: 5.97 x 1024kg radius: 6.37 x 10°m

An engineer wants a satellite to orbit the earth with a period of 32 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 Tand substitue. Finally, solve for rand plug in! You may enter answers scientific notation as shown: 1.23 x 105 = 1.23e5 At what orbital radius must the satellite orbit? m How far is this above the earth's surface? At what speed does the satellite need to orbit? earth data m/s mass: 5.97 x 1024kg radius: 6.37 x 10°m

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1 2 An engineer wants a satellite to orbit the earth with a period of 32 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? m How far is this above the earth's surface? m At what speed does the satellite need to orbit? earth data m/s mass: 5.97 x 1024kg radius: 6.37 x 10°m 3.
Transcribed Image Text:1 2 An engineer wants a satellite to orbit the earth with a period of 32 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? m How far is this above the earth's surface? m At what speed does the satellite need to orbit? earth data m/s mass: 5.97 x 1024kg radius: 6.37 x 10°m 3.
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