All Questions
4
questions
1
vote
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Why is the book using the equation of $\Delta t$? [closed]
I have a question on a worked out example from a text book. The example is as follows.
A proposed plane would carry intercontinental travelers at speeds many times those of today’s fastest airliners. ...
- 73
2
votes
3
answers
994
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Problem with the proof that for every timelike vector there exists an inertial coordinate system in which its spatial coordinates are zero
I am reading lecture notes on special relativity and I have a problem with the proof of the following proposition.
Proposition. If $X$ is timelike, then there exists an inertial coordinate system in ...
- 123
0
votes
2
answers
245
views
Length contraction of a train
Suppose a train of length $3x~\rm m$ and a tunnel of length $x~\rm m$. When the velocity of train is $282842712.5~\rm m/s$ (from length contraction equation), then its length contracts to $x~\rm m$. ...
22
votes
2
answers
8k
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How do I derive the Lorentz contraction from the invariant interval?
While reviewing some basic special relativity, I stumbled upon this problem:
From the definition of the proper time:
$$c^2d\tau^2=c^2dt^2-dx^2$$
I was able to derive the time dilation formula by using ...
- 16.4k