SOLUTION: Newton's law of gravitation states that the gravitational attraction between two object varies jointly as the product of their masses and inversely as the square of the distance be

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Newton's law of gravitation states that the gravitational attraction between two object varies jointly as the product of their masses and inversely as the square of the distance be      Log On


   

Question 823975: Newton's law of gravitation states that the gravitational attraction between two object varies jointly as the product of their masses and inversely as the square of the distance between their centers of mass. What will be the change in attraction between the two objects if both masses are doubled and the distance between their centers is cut in half?
Answer by TimothyLamb(4379) About Me  (Show Source):
You can put this solution on YOUR website!
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x = massA
y = massB
r = distance between massA and massB
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f = Gxy/rr
F = G2x2y/(r/2)(r/2)
F = 4Gxy/(rr/4)
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F/f = (Gxy/rr) / ( (4Gxy/(rr/4) )
F/f = (1/1) / ( (4/(1/4) )
F/f = (1/16)
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answer:
F = (1/16)f
F = f/16
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