Physics

determine the distance from earths centre where the force of gravity acting on a space probe is only 11% of the force acting on the same probe at earths surface. Express your answer in terms of earths radius, rE

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asked by Bobbie
  1. Force is inversely prop to distance squared, so...


    .11=1/(distance/rE)^2

  2. F = G Me m/R^2
    Fe= G Me m/Re^2
    F/Fe = 11/100 = 1/R^2 / 1/Re^2 = Re^2/R^2

    11/100 = Re^2/R^2
    R/Re = sqrt(100/11) = 10/sqrt 11
    = 3.01
    so
    R = 3.01 Re

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    posted by Damon
  3. The force of gravity is proportional to 1/r^2, where r is measured from the center of the earth. Therefore
    (r/rE)^-2 = 0.11
    r/rE = sqrt (1/0.11) = sqrt 9.09 = 3.015

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    posted by drwls

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