Unformatted text preview: F exerted by a body of mass m on a body of mass M has magnitude: F = GMm r 2 where G is the gravitational constant and r is the distance between the centers of the bodies. Suppose a rocket is launched from earth so that when it is 100 kilometers above the surface, it has speed . 5 km/sec. Assume the radius of the earth is 6 , 300 km and that the mass m of the rocket is a constant 500 kg at that instant. At what rate is the force changing at that instant? (Leave constants G,M in your answer.) Now suppose that the mass m of the rocket is decreasing by 1 . 5 kg/sec as the rocket consumes fuel. What is the new result? (Use quotient rule with m and r —leave constants G,M in your answer.)...
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This note was uploaded on 12/27/2011 for the course MAC 2233 taught by Professor Smith during the Spring '08 term at University of Florida.
 Spring '08
 Smith
 Calculus, Rate Of Change

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