Captain Seafort wrote:
The exact line was "12.75 billion gigawatts per...[second, acording to the script]" This suggests that Data was talking bollocks (again), since watts per second is a power ramp-up curve, not power generation. This makes the entire scene of highly questionable usefulness. If were're being forgiving, and assume he simply meant "watts", then we have to reconcile it wit Riker's outright statement that a GCS produces less than one terawatt. It's possible that 12.75E18 W is the theoretical maximum output, based on the mass of the reactants, while 1 TW is the total useable energy available to the ship (after inefficiencies).
If the GCS is producing less than 1 TW of power then I suggest they stop using their top of the line 360 years in the future warp core for a modern day nuclear reactor, and there'd not be much difference. The warp core utilizes a anti-matter/matter reaction, and 12.75 million terawatts is completely reasonable and logical based on special relativity. An efficiency of 1/12,750,000 is absurd (ie capable of the 12.75 million but only giving off 1) - we have better uncontrolled effeciency now in our fission or fusion nuclear bombs!!! Nevermind a controlled environment on a starship... I accept 12.75 million may be the upperlimit, but a real usable production of one terawatt is just insane - unless the ship was just sat doing nothing with all the lights off!
. A "terawatt source", we must assume, means something different. Maybe its the point of how the source actually works - such as an omega molecule. It's possible for a warp core to create the energies of the omega molecule, but it has to be a few billion times larger to do it, in which case an "omega molecule"/"terawatt source" is beyond the capability of a warp core if it were the same size as the source.
Since we were talking about weapons. Put simply, if shields collapse after X energy hits them, and they can withstand PT hits without the shields collapsing, then PTs must be weaker than X.
Well, regarding The Survivors, we could assume that that particular beam weapon has some special effect (perhaps even similar to the Breen weapon, which could realistically have only 1J of energy and disable the enemy ship).
Who said anything about vapourise? You can see the crack the Enterprise entered in the exterior shot of the asteroid. Scaling the width of the crack, from the Enterprise, and the whole asteroid from the crack, Gives a 5 km diametre. Using the energy required to fragment a rocky asteroid of that size and dividing by 250 gives PT yields in the high kT to low MT range.
I also said put enough holes/cracks/fragmentations in it to render it useless - which is destroyed. To put holes in them, the material must also be vapourised. At least a great portion of it. And that asteroid is never 5km. Scaling the width of that crack I'd give about 100km, you see 2.4km worth as the Enterprise enters (about 4 length of the ship), and that is definitely not half way along. I would get a screenshot but for some reason it just gets messed up in any program that I try to paste it in... If you have it, watch the first time you see the warbird at the asteroid. It dwarfs the warbird. It's no where near 5km. And even if it were, to fully destroy 30 billion cubic kilometres of rock, you'd need to fragment it at most into bits about 10 cm across, to make sure the cloaking device isn't in any of them.
But all of this is subjective, we dont' know how many "most" of the Enterprise's torpedo is, we can't get a proper full shot scaling of the asteroid, we don't know if it needs to be vapourised, fragmented into two, or into trillions, if...
What we do know is that the picture I have shown shows a rather large blast against an earth sized planet. Which would put it around the 60 megaton (if not more) size.