• LustyArgonian@lemmy.world
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    18 hours ago

    So in that equation, let’s say mass 1 is earth. G and distance will be equal in both instances of dropping.

    Rewrite equation:

    Distance^2/ G*mass 1 = mass 2 /force

    And

    Distance^2/ G*mass 1 = mass 3 /force

    Therefore,

    Mass 2 /force = mass 3 /force

    F = m*a

    Mass 2 / mass 2*a = mass 3 / mass 3 * a

    This cancels out to show that a = a, their acceleration is the same.