CK12 Calculus - Single Variable

(Marvins-Underground-K-12) #1

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  1. Newton’s Law of UniversalGravitationstatesthat the gravitationalforcebetweentwo masses(say, the
    earthand the moon),mandM, is equalto their productdividedby the squareof the distancerbetween
    them.Mathematically,


whereGis the UniversalGravitationalConstant(1.602× 10-11 ). If the distancerbetweenthe two
massesis changing,find a formulafor the instantaneousrate of changeofFwith respectto the separation
distancer.



  1. Find


where is a constant.



  1. Find , where.


Answers
(someanswerssimplifyfurtherthan the givenresponses)













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