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A spaceship is on a straight-line path between the Earth and the Moon. At what distance from (the centre of) Earth is the net gravitational pull on the probe from the Earth and the moon zero? Mass of Earth = 6×10^24 kg. Mass of Moon = 7×10^22 kg. The distance from the Earth to the moon is 380,000 km (measured from the centre of mass of each).

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2 answers
  1. gravity Earth=gravity moon
    GMe/(x^2)=GMm/(x-3.8E8)^2

    solve for x

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    bobpursley
  2. 3800 m

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