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If the mass of the Earth somehow increased with no change in radius, your weight would
increase also
decrease
stay the same

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  • skyluke89


    Answer:

    increase also

    Explanation:

    The weight of a person is equal to the gravitational pull exerted by the Earth on the person:

    F=G\frac{mM}{R^2}

    where

    G=6.67\cdot 10^{-11} m^3 kg^{-1} s^{-2} is the gravitational constant

    M is the mass of the Earth

    m is the mass of the person

    R is the Earth's radius

    We notice that the weight is directly proportional to the mass of the Earth. Therefore, if the mass of the Earth M increases, and the radius R does not change, the weight of the person increases as well.

  • smmwaite


    Answer

    Increases also.

    The force due to gravity is given by,

    F = GM.m/r²

    Where G is a constant of proportionality

    ∴ F ∝ M.m/r²

    When r remains constant, force due to gravity, F, will be;

    F ∝ M.m

    Where M is the mass of the earth and m is your mass

    Since your mass does not change, we are going to have;

    F ∝ M.

    This means the weight F is directly proportional to the mass of the earth. when it increases the your weight also increases.