Two astronauts are floating in gravitational free space after having lost contact with their spaceship. The two will...

The two astronauts will move towards each other due to the gravitational force between them. While the gravitational force between two humans is extremely small, it is still present. Newton's Law of Universal Gravitation states that every particle attracts every other particle in the universe with a force which is directly proportional to the product of their masses and inversely proportional to the square of the distance between their centers. Because there are no other significant forces acting upon them (they are in gravitational free space), this gravitational attraction, however small, will cause them to accelerate towards each other. The process will be very slow due to their low masses and the inverse square law, but they will inevitably drift closer.