I am not really good in physics so I might be wrong at some points, but here is the situation. Consider a spaceship of the size of a fighter plane. And like a fighter plane, the ship is very mobile. The interior is pressurised.
Would the pilot feel g-forces when accelerating and decelerating the ship? If he does, could that force be enough to make him faint at some point as pilots of fighter planes sometimes do?
Answer
I don't have a good knowledge of physics but the basic answer is yes, g-force is pretty much an acceleration force.
For example 1g (Earth gravity) is basically an acceleration of 9.8m/s2 towards the Earth, you don't accelerate because the ground resists this force.
In terms of whether some one could pass out then yes you could. In space the weightlessness actually comes from a lack of acceleration, however the speed can still be very high (needs to be if you want to stay in orbit!).
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