Show your work. Include Free body diagram. A satellite is kept in a circular orb

Question

Show your work. Include Free body diagram. A satellite is kept in a circular orbit 3.0*102kmabove the surface of the Earth by the force of gravity. Atthis altitude the acceleration due to gravity is only8.9m/s2. The radius of the Earth is6.4*106m. a)calculate the period of the satellite. b)calculate the speed of the satellite. Show your work. Include Free body diagram. A satellite is kept in a circular orbit 3.0*102kmabove the surface of the Earth by the force of gravity. Atthis altitude the acceleration due to gravity is only8.9m/s2. The radius of the Earth is6.4*106m. a)calculate the period of the satellite. b)calculate the speed of the satellite.

Explanation / Answer

h = 3.0*102 km, g = 8.9m/s2. R =6.4*106 m. r = R + h, mass of the Earth M =5.98*1024 kg GmM/r2 = mv2/r speed v = [GM/(R + h)] = 7.72*103 m/s period T = 2r/v = 5.46*103 s

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