Two astronauts are floating in a gravity free space after having lost contact with their spaceship. The two will:
keep floating at the same distance between them
move towards each other
move away from each other
will become stationary
According to Newton's Universal Law of Gravitation, every particle in the universe attracts every other particle with a force that is directly proportional to the product of their masses and inversely proportional to the square of the distance between them. Even in 'gravity-free space' (implying negligible external gravitational fields from planets or stars), the two astronauts possess mass and therefore exert a mutual gravitational force of attraction on each other. Since there are no external forces to counteract this, they will accelerate towards one another.
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