90. If the angular velocity were any greater, loose objects on the surface would not go around with the planet but would travel out into space. (a) The magnitude of the gravitational force exerted by the planet on an object of mass mat its surface is given by F = GmM / R2, where Mis the mass of the planet and Ris its radius. According to Newton’s second law this must equal mv2/ R, where vis the speed of the object. Thus,
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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.