Gravity: A satellite circles the earth three times per day (it has an 8-hour period). Given Mearth = 5.98x1024 kg. rearth = 6.38x10° km, and G=6.67x10*" Nm²/kg², and assuming the orbit is circular, a. Find the radius of the orbit, how many earth radii is it? b. What is the speed of the satellite (in km/s)? c. What is the acceleration due to the Earth's gravity at that radius, i.e. what is "g" at the satellite radius? How much stronger is g at the Earth's surface (what is g/g.r_ur)?

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ISBN:9781305952300
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Chapter1: Units, Trigonometry. And Vectors
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1. Gravity: A satellite circles the earth three times per day (it has an 8-hour period). Given Mearth = 5.98x1024 kg,
rearth = 6.38x10° km, and G=6.67x10" Nm²/kg², and assuming the orbit is circular,
a. Find the radius of the orbit, how many earth radii is it?
b. What is the speed of the satellite (in km/s)?
c. What is the acceleration due to the Earth's gravity at that radius, i.e. what is
"g" at the satellite radius? How much stronger is g at the Earth's surface
(what is g/g.t_sat)?
Transcribed Image Text:1. Gravity: A satellite circles the earth three times per day (it has an 8-hour period). Given Mearth = 5.98x1024 kg, rearth = 6.38x10° km, and G=6.67x10" Nm²/kg², and assuming the orbit is circular, a. Find the radius of the orbit, how many earth radii is it? b. What is the speed of the satellite (in km/s)? c. What is the acceleration due to the Earth's gravity at that radius, i.e. what is "g" at the satellite radius? How much stronger is g at the Earth's surface (what is g/g.t_sat)?
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