The answer is not backed up by any explanation. It literally reads as I've written in the first post. Just the delta equation, then replaced with numbers, with the final numerical answer. It also says underneath "One may use ##L\cdot \gamma = L_0##".
That is literally...it.
I guess I still have some work to do, but seriously, wrapping my head around this subject has proven very troublesome.
I hope I'm not asking for too much if you could perhaps show me how this coordinate transformation would take place (as per the homework guidelines, the solution is already...
That makes total sense, and I've never really had issues with this, nor Galilean transformations to any degree (so far). That said, no matter how I try to approach this problem, I keep encountering a bit of a brick wall (which suggests to me that I'm understanding something fundamental about SR...
I appreciate the response. That said, I must say I'm confused by how the other answer works. Since the platform is moving at 0.6c relative to the train, plus the 2nd light beacon has emitted a light signal travelling towards the train at c (correct addition of relativistic speeds...
I'm not refusing to do anything. I just didn't expect there to be such an issue with the wording, but I guess such is the world of SR.
"A train is travelling past a station at a speed of 0.6c. Two light beacons, A & B, are positioned at either end of the station. They turn on at the same time...
This may be the solution, it seems, but then the question statement may be unintentionally ambiguous. However, in the answer scheme it says that I can use either equation (length contraction or the Lorentz transformation) to get the right answer. But the only way I can get the other length using...
The exact question asks about a train going past a station with two light beacons at either end, that are said to give a pulse at the same time as observed by someone at the station, and just as the train starts to pass the station platform.
The question first asks to calculate the Lorentz...
TL;DR Summary: Solving a problem regarding a train going past a station using length contraction and the Lorentzian transformation.
I'll dive straight in. I encountered a problem where there is a train travelling at 0.6c going past a station, length 500 m when measured by an observer at rest...
Thank you, this makes things a lot clearer, and I will admit that this ties in with the concept that I'm struggling with intuitively.
See, my mistake (as it's apparently so) comes from assuming the observations (as in detections) are relative, but the events themselves are not. I cannot...
That's not really helpful, but I appreciate the input nonetheless.
Ok, I think this is starting to make sense. So according to P', they will actually see the light from B after A, but will deduce that B occurred before A?