49. (a) If ris the radius of the orbit then the magnitude of the gravitational force acting on the satellite is given by GMm/r2, where Mis the mass of Earth and mis the mass of the satellite. The magnitude of the acceleration of the satellite is given by v2/r, where vis its speed. Newton’s second law yields GMm/r2= mv2/r. Since the radius of Earth is 6.37 ×106m the orbit radius is
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This note was uploaded on 05/17/2011 for the course PHY 2049 taught by Professor Any during the Spring '08 term at University of Florida.