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Physics

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What is the distance from the Earth's center to a point outside the Earth where the gravitational acceleration due to the Earth is 1/20 of its value at the Earth's surface?

  • Physics - ,

    m g = G m M / r^2
    so
    g = G M / r^2

    g' = G M /R^2

    g'/g = 1/r'^2 / 1/r^2

    g'/g = r^2/r'^2

    1/20 = r^2/r'^2
    so r'/r = sqrt 20 = 4.47
    so r' = 4.47 * earth radius

  • Physics - ,

    Thanks for the help, but it said it wasn't right.... I did 4.47*(6.38*10^3)

    Is that right?

  • Physics - ,

    earth radius = 6.38*10^6
    not 10^3

  • Physics - ,

    28.5 *10^6 = 2.85 * 10^7 meters

  • Physics - ,

    this just isnt right...

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