You are drastically underestimating the difference in scale between the mass of an astronaut pushing himself around during EVA and the mass of a Galaxy Class starship performing an orientation maneuver.
I think the assumption you keep making is that the ship and its occupants will always be going the exact same speed relative to each other when gravity/inertial damping fails - this will not necessarily be the case.
That they will be traveling at the same speed is a matter of necessity, not assumption. They are passengers on the ship. Whatever direction the ship is traveling in is the direction they are traveling in.
When a ship loses power in a vacuum in interstellar space, it cannot, by itself, maintain a curved flight path - rather, Newtonian physics kicks in, and the ship simply will fly off like a ball released from a tether.
The only real concern is if you lose power while spinning, because the ship will continue to spin. Timo exclaims that occupants would be turned into a fine paste in this case. I am, however, skeptical. The Enterprise is almost always shown making rather leisurely maneuvers.
And how is our starship still engaging in maneuvers if she has lost power? If the ship still has to engage in battle maneuvers, it would seem that the systems have not been prioritized correctly in the first place (or an absurdly improbably malfunction has occurred). Gravity and Life support should be the very last systems to fail on a ship.
However, I'll grant that if you are in combat and you have to choose between systems, you ought to prioritize artificial gravity and worry about the life support later.
Of course it runs on electricity,
I seem to recall an episode where they claim that their systems do not run on electricity - then again, is there money in the future or isn't there?
it's just derived from a futuristic source - namely plasma. The plasma is generated by the fusion reactors, which get pretty damn hot themselves.
Even if all electrical circuits on board the ship had plasma flowing through them instead of tried & true AC/DC power, those circuits will still have resistance and inductance requirements to function properly - both of which generate heat.
There are a lot of electronics aboard the E-D... plus probably several hundred kilometers of plasma conduits supporting them.
Not to mention any radiative heat energy the ship may absorb from the local star while orbiting the planet of the week...
Which is precisely why you need life support. These super hot conduits and other sources will burn the crew alive.
At any rate, you have no idea what the heat dispersal rates of these systems are, so please don't waggle your finger at me like as if you do.
YARN said:
Which you have to admit was absolutely ludicrous when you think about how the laws of motion actually work.
You know what else is ridiculous?
*Universal translators
*Transporters
*Warp Drive
*Holodecks
*Phasers
Why should we get up in arms about just one detail? The Trek universe is its own universe with its own rules.
The best evidence that we have is that when a Trek-universe ship loses power people simply float around.
Trek Tech tech is like the Supremacy Clause of the Constitution. We may speculate that real-world physics applies, unless Trek has already ruled in a given case, or set of cases, that real-world physics does not apply. In such cases, the answer lies not in our physics books, but in terms of narrative coherence/consistency of the show itself -- the "rules" of warp propulsion, for example, cannot be deduced from the actual laws of physics as we know them, but rather must be inferred from the techno-babble on the show.
Again, NOT if the ship is radically accelerating or decelerating beyond a point that the humanoid for can withstand.
Per Newton's rules.
Hence the old "chunky salsa" metaphor.
If the ship has lost power, it should neither be accelerating nor decelerating. Per Newtonian physics an object that is in motion will remain in motion, and you would have to expend energy to change its relative motion. On the other hand, if the ship still has power to maneuver, we must ask why this system would be prioritized to last longer than life-support and gravity.
There are three accelerations which can give us the chunky salsa effect - Mass, straight line acceleration, and rotation.
Starships are big, but are not massive enough to produce significant gravity. If you've lost power, acceleration goes out the window too (you simply keep flying off into space). Again, the only acceleration to worry about is rotation, if the ship happened to be spinning when it lost power. And that concern is addressed above.
At any rate, the best argument for your side has already been made by Timo -
Starship safety systems shouldn't be optimized for saving a ship from "benign danger". They should be designed to protect the ship from grave danger.
By his reckoning, combat is grave where losing life support is benign danger. I'd say losing life-support is not benign at all. Ask a submariner or miner who has ever choked for air if losing life support is "benign danger." I do agree, however, that the danger of combat is a more
immediate than the threat of losing air and heat. This is a solid point.
My only response is that you should not be losing EITHER life support OR gravity unless and until all other systems have failed - in which case, the point is moot, because having gravity wouldn't keep you in the fight anyhow (as you would've already lost the power to engage in combat maneuvers, and weapons, and shields).