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An engineer wants a satellite to orbit the earth with a period of 52 hours. Hint: You need to find an equation for r in terms of givens (T, M and Gonly). 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 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 At what speed does the satellite need to orbit? earth data mass: 5.97 x 1024kg radius: 6.37 x 10m m/s

An engineer wants a satellite to orbit the earth with a period of 52 hours. Hint: You need to find an equation for r in terms of givens (T, M and Gonly). 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 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 At what speed does the satellite need to orbit? earth data mass: 5.97 x 1024kg radius: 6.37 x 10m m/s

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An engineer wants a satellite to orbit the earth with a period of 52 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 för rand plug in! You may enter answers scientific notation as shown: 1.23 x 10 = 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 mass: 5.97 x 1024kg radius: 6.37 x 10 m m/s check answers cannot be determir Unit 11: universal gravitation, challenge Desmos Scientific Online Calculator
Transcribed Image Text:An engineer wants a satellite to orbit the earth with a period of 52 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 för rand plug in! You may enter answers scientific notation as shown: 1.23 x 10 = 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 mass: 5.97 x 1024kg radius: 6.37 x 10 m m/s check answers cannot be determir Unit 11: universal gravitation, challenge Desmos Scientific Online Calculator
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