Forums before death by AOL, social media and spammers... "We can't have nice things"
|    sci.physics.research    |    Current physics research. (Moderated)    |    17,516 messages    |
[   << oldest   |   < older   |   list   |   newer >   |   newest >>   ]
|    Message 17,158 of 17,516    |
|    Luigi Fortunati to All    |
|    Re: Two trolleys on the rail    |
|    13 Nov 22 10:10:34    |
      From: fortunati.luigi@gmail.com              Sylvia Else sabato 12/11/2022 alle ore 12:08:50 ha scritto:       >> I am on board of trolley A and, during acceleration, I see trolley B       >> moving away from me by twice the initial distance (as Bell says in his       >> explanation).       >>       >> At the same time, I see the distances between the track sleepers (the       >> rail) shrinking.       >>       >> The effect of both causes increases the number of rails between me and       >> trolley B from 1 to 4, as is the case at the top of my animation.       >>       >> But 4 rails between me and B contrast with my speed over the ground       >> (v=0.866c range=2), for which there should only be 2 rails (twice as       >> much) between me and B (as is the case at the Bottom of my animation)       >> and not 4 rails.       >>       >> Hence my doubt that I was hoping someone could clarify, because if one       >> solution is right, the other is wrong (and vice versa).       >>       >> Luigi       >       > In this scenario, the choice you've made is that the two trolleys       > accelerate at the same rate as determined by the observer at rest       > relative to the initial state.       >       > They accelerate at different rates in their respective frames (which       > implies that differing, and indeed changing, forces are being applied to       > them). If the trolleys were connected by an inextensible tether, then it       > would break.       >       > Sylvia              So the scenario of the top of my animation       https://www.geogebra.org/m/ytws9kbr       where the ribbon breaks is correct.              But how do you justify the fact that reaching the speed v=0.866c       (gamma=2) the distance between A and B (in the reference of the trolley=              A) is 4 sleepers (quadruple) and not 2 (double)?              --- SoupGate-Win32 v1.05        * Origin: you cannot sedate... all the things you hate (1:229/2)    |
[   << oldest   |   < older   |   list   |   newer >   |   newest >>   ]
(c) 1994, bbs@darkrealms.ca