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The space shuttle orbits the earth 16 times per day. mearth = 5.975 x 1024 kg         ...

The space shuttle orbits the earth 16 times per day.

mearth = 5.975 x 1024 kg              rearth = 6.371 x 106 m          G = 6.67 x 10-11 N.m2/kg2

  1. How high (in miles) above the earth does it orbit?     Height “h” above the Earth’s surface?
  2. What is the acceleration due to gravity at this height? aCentrip = aGrav
  3. What is the period (in hours) of revolution?   T = ? 1/f           f Þ rev/hr

            w = 16 rev/dy = 16rev/24h = 0.667 rev/h                                          

                                                            = 0.667rev/h(2prad/rev)(1h/3600s) = 1.16x10-3 rad/s

                        FCentrip = FGrav               mSaCentrip = (GmSmE)/r2

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