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The train crosses the station

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  The train crosses the station Luigi Fortunati <fortunati.luigi@gmail.com> - 2017-08-24 19:03 +0200
    Re: The train crosses the station Thomas 'PointedEars' Lahn <PointedEars@web.de> - 2017-08-25 15:07 +0200

#429916 — The train crosses the station

The AB station and the MN train have both their own length of 16 
dashes.
The speed is 8 dashes in the time unit (gamma=2),
At the time of the meeting between A and N the time of A is t=0 and 
that of N is t'=0.
C is the middle point of AB and R is the midpoint of MN.
In the station reference frame K, train length MN is contracted with 8 
dashes:
---M---R-->N----------------------------- time of N: t'=0
-----------A-------C-------B----------->x time of K: t=0

In the train reference frame K', station AB moves backwards and is 
contracted with 8 dashes:
---------------------------A<--C---B----- time of A: t=0
-----------M-------R-------N----------->x time of K': t'=0

After a unit time of the station (when it is t=1), the N head of the 
train (which is advanced by 8 dashes) lies in front of C and the tail M 
lies in front of A:
-----------M---R-->N---------------------
-----------A-------C-------B----------->x time of K: t=1

At that exact moment of the station (t=1) a series of machine guns 
ranging from A to C opens the fire simultaneously (in K) and destroys 
the entire MN train before the N head of the train can exceed C point.

In this way the station master knows that he has secured the second 
part of the station (C to B) where there is the family of the Divine 
Emperor of the Kingdom of K.

In the train reference frame K', after a unit time (when t' is = 1) the 
end of station A (which is advanced of 8 dashes) is in front of R and 
the other end B is in front of N:
-------------------A<--C---B-------------
-----------M-------R-------N----------->x time of K': t'=1

At that exact moment of the train (when t'=1) a series of machine guns 
ranging from R to N opens the fire simultaneously (in K') and destroys 
the whole station AB before A can exceed the point R.

In this way the train master knows that he has protected the second 
part of the train (from R to M) where there is the family of the Divine 
Emperor of the Kingdom of K'.

How could both families of the Divine Emperors be rescued if the 
station's machine guns destroyed the whole train and the train's 
machine guns destroyed the whole station?

-- 
Luigi Fortunati

Credere e' piu' facile che pensare
Believing is easier than thinking

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#429964

Luigi Fortunati wrote:

> The AB station and the MN train have both their own length of 16
> dashes.
> The speed is 8 dashes in the time unit (gamma=2),

Not even wrong.

As you have been told before, a Lorentz factor of gamma = 2 corresponds
to a relative speed of about c∕√(1 − 1∕2²) = 0.867 c.

Speed is *relative*; it is measured in a particular frame of reference, and 
for the *same* body is *different* in different frames of reference unless 
the frames in question are comoving.

> […]
> How could both families of the Divine Emperors be rescued if the
> station's machine guns destroyed the whole train and the train's
> machine guns destroyed the whole station?

Do your own homework.

-- 
PointedEars

Twitter: @PointedEars2
Please do not cc me. / Bitte keine Kopien per E-Mail.

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