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March 25, 2017

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If Earth's mass were smaller, how would Earth's gravity be affected?

  • Science - ,

    with the same radius? gravity would be reduced.

    An interesting question, is what if Earth had a smaller radius, but with the same density.

    F=GMe/re^2

    but Me=density*4/3 PI re^3

    so as r changes, M(r)=Me(r/re)^3

    F=GMe/r^2 * (r/re)^3 = GMe/re^2 (r/re)

    which means the gravity is the fraction (r/re) of the new Earth's size.

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