@Leadfoot,
Leadfoot wrote:
Quote:It is possible that they would have to "shed" mass (in the form of dark matter, let's say) in order to keep accelerating?
But we know something weird is happening because it took fully
3 times the energy when going from 20 to 40 than 0 to 20. I have never heard an adequate explanation of this. Even physics majors are at a loss and some of them think it has to be aerodynamic losses even though the results are the same in a vacuum.
Worshipers of the math are forced to agree that the formula and math is correct (E=1/2MV^2 - I forgot the 1/2 before) but still no logical reason why such a drastic change at such sub-relativistic speeds.
I haven't been able to think of a plausible answer to your question, Leddy, but I will make some observations which also indirectly relate to the SR vs LR question I've been raising.
Once you've reached 20 mph, then,
from that frame of reference, it doesn't take any more energy to increase your speed by 20 mph (to 40) than it did to go from 0 to 20.
But, as you have noted, if it took you a quart of gas to go from 0 to 20, then it take a whole gallon to get you from 0 to 40, as calculated
in your initial frame of reference.
But it seems clear that you couldn't just put a pint in your tank, accelerate to 20, and then, once that speed is reached, add another pint and take her on up to 40.
Switching frames of reference doesn't make "magic" happen. It doesn't change anything in the "real world," it just changes your "perspective," which is a subjective, accidental thing.
This is a consideration that SR adherents overlook, I think. It's one reason I asked Max the question about the football field, way back, which he refused to answer.
Don't get me wrong, I do believe that if you accelerate an object to relativistic speeds, then significant physical changes, which are "real," can will occur in THAT frame of reference. But does it change anything at all back in the frame you came from? SR says it does. LR says it doesn't. Imma go with LR there.