
Originally Posted by
John Mendenhall
Why would you think that? A fundamental part of relativity is that after applying the appropriate math, all observers can agree about what is happening.
In general, be cautious about 'thought experiments'. It's the devil to see what's wrong with them if they are not very carefuly constructed at the outset. That's what 0110etc's comment is about. And, for example, there is an opportunity here in your question to open the door to rigidity, inertia, and reference frame questions, which the big guys are still arguing about.
Briefly, the electrons in the conducting cable are not sloshing around like a liquid, and could care less how fast the ship is going., and for that matter, the real liquid(s) in the plumbing will behave the same way. Remember, even under acceleration, the reaction is the same as in a gravitational field, and we do not have to stir the electrolyte in our car batteries to get the electrons off the bottom before starting (double rear window VW's of the '50's don't count).