I cut some natter from the main body... wow, failing science so hard it HURTS. (FYI, the "F" in "F=ma" refers to force in general, not friction.)
Viscous space and being swept away in space is a close cousin of this trope. It is a poor attempt to apply hydrodynamics to space.
Example: A character lets go of the ship(while it is traveling at a constant speed) and is immediately swept behind the ship (often into the engines). This treats the ship as if it were a stationary object in a fast moving stream, when a twig falls of it is swept away. When in reality every thing that is in contact with the ship is moving at a given speed, it you let go nothing happens you just sit there motionless relative to the ship. (this obviously does not apply to a accelerating ship).
Then again, given the lack of friction to slow you down, if the engines are active you're accelerating, arent you?
F= ma. Since you obviously have mass, no F means no a.