ok, so I'd like to ask one of the more physics minded people a conservation question.
if I have a nulcear submarean that has suddenly been transported into outer space (and for some irrelivent to the larger point of the question reason the design of the sub allows it to continue functioning in a vacume). it is moveing at a constant velocity, yet inside it has a nuclear reactor wich is breaking apart uranium atoms for energy, as it does this the mass of the uranium and by extention the mass of the whole system (sub) it'self decreases (if I understand my nuclear physics properly). yet it's velocity remains the same, the propellers might spin in one direction or the other, but the velocity of the whole system remains constant yet the mass does not, by conservation of inertia, isn't this imposable? because I=M*V, the inertia of the system is going down, because the mass of the system is going down and the velocity isn't going up to counter this.
could it be posable that this situation is something similar?
I'll ask my physics teacher about this tomarrow and see if there is some odd thing in relitiveity that might allow this.
Well, easiest answer is that an object traveling at constant speed is in the middle of its own reference co-ordinate system, and if its mass is reduced by, say, slicing a piece of it away, the speed of the main body has no reason whatsoever to accelerate (change speed in any direction). Its momentum is reduced, but the sliced part of the body gets that momentum.
In a space ship, the "sliced" bit is fotons emitting at statistically every direction from the ship. The fotons have momentum, and they "steal" some momentum from the ship.
However, if we have a theoretical space ship that we all love, that does not emit anything and absorbs everything that the reactor produces, things become more interesting... but not that much.
In this scenario, particles and fotons radiated in the reactor core all absorb into the ship surrounding it, nothing escapes into space.
Thus, the energy of the ship-reactor system remains the same, and so does momentum. The thing which is important to notice here is that when nuclear reactions reduce mass of entire system, the momentum that these particles gained is absorbed into the surrounding hull. Again statistically, photons and mass particles are emitted into every direction from the reaction, so all parts of the ship get even dose of radiation (energy and momentum).
From this on, things become interesting.
If we consider the ship-reactor system on time t=0, the system has mass m, energy E = mc^2 and momentum p = mv... however, the momentum also has relation to ship's overall energy via the mass-energy relation, so momentum can equally be annouced as
p = v*E/c^2
At t=1, N amount of nuclear reactions occur in the reactor. They release particles and fotons at even directions. Now the reactor has less energy, less mass and less momentum than at t=0, but the velocity remains same - because it gave momentum to even directions.
At t=2, the radiation hits the spherical core around the reactor... mass particles come a bit later, but they have the same effect as fotons so it's no use to handle them separately.
What happens here is that the momentum of the fotons is transferred to ship's particles. The momentum of particles is then transferred to other particles that are close, and then to others... and others... And lo behold, the momentum originated in the reactor takes place as thermal energy in the core of the ship.
So, in a "closed ship" scenario the momentum of the system does conserve; it just changes form and becomes not-so easily noticeable. The ship heats, the heated matter has particles that have kinetic energy, which means that they have momentum... the very same momentum that came from the reactor.
So, all in all the energy of the ship remains the same, if nothing is removed from it, and thus the momentum and speed also remain same. Momentum is just dispersed along the ship so every bit of momentum pointing to direction is negated by other, random directed momentums. The sum of momentum is still the same that it was at t=0.
At least this is how I would handle this subject. Though my knowledge of physics is yet quite limited...

Of course, this kind of ship would be a death trap to all inside it, as it would rather quickly reach rather higher temperatures. In truth, most of thermal energy produced must be radiated out of a ship to retain the thermal equilibrium. To keep the crew quarters at static temperatures, the heating system must only work at same rate that the ship absorbs to space. Most reactors produce way more thermal energy... and when thermal energy is radiated away from the ship, it steals some of the ship's energy - most being energy from the reactor, energy which was converted from matter to radiation. And this does indeed reduce the momentum of the ship itself, even though the vvelocity remains the same.