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Somewhere between Earth and the Moon, gravity from these two bodies on a space pod would canel. Is it closer to the Earth or the Moon? why?

  • science - ,

    force on pod proportional to mass of object/distance squared
    mass of earth >>mass of moon
    therefore distance from moon must be smaller to get same force magnitude from each.

  • science - ,

    It is closer to the moon because the moon has less mass. For the two forces to be equal and opposite, you must have
    Mearth/Rearth^2 = Mmoon/Rmoon^2

    Therefore Rearth/Rmoon
    = sqrt(Mearth/Moon)
    which is greater than 1

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