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Contraction des longueurs
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A
every
0
0
Min Step Time:
ms
Temps mesuré par l'observateur en mouvement par rapport au wagon (Bill).
Temps mesuré par l'observateur en mouvement par rapport au wagon (Bill).
9
Expression 10: "t" Subscript, "B" "i" "l" "l" , Baseline equals round left parenthesis, StartFraction, "t" Subscript, "A" "l" "b" "e" "r" "t" , Baseline Over gamma , EndFraction , 3 , right parenthesis
t
B
i
l
l
=
r
o
u
n
d
t
A
l
b
e
r
t
γ
,
3
equals
=
negative 1.7 3 2
−
1
.
7
3
2
10
Longueur du wagon calculée par Bill.
Longueur du wagon calculée par Bill.
11
Expression 12: "L" Subscript, "B" "i" "l" "l" , Baseline equals round left parenthesis, "v" "t" Subscript, "B" "i" "l" "l" , Baseline , 3 , right parenthesis
L
B
i
l
l
=
r
o
u
n
d
v
t
B
i
l
l
,
3
equals
=
negative 0.8 6 6
−
0
.
8
6
6
12
Vitesse du train (en fraction de c)
Vitesse du train (en fraction de c)
13
Expression 14: "v" equals 0.5
v
=
0
.
5
0
0
0.9
0
.
9
14
Facteur de Lorentz
Facteur de Lorentz
15
Expression 16: gamma equals StartFraction, 1 Over StartRoot, 1 minus "v" squared , EndRoot , EndFraction
γ
=
1
1
−
v
2
equals
=
1.1 5 4 7 0 0 5 3 8 3 8
1
.
1
5
4
7
0
0
5
3
8
3
8
16
Dessins
Dessins
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17
Boutons
Boutons
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44
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"t" Subscript, "A" "l" "b" "e" "r" "t" , Baseline equals negative 2 s
t
A
l
b
e
r
t
=
−
2
s
"L" Subscript, "A" "l" "b" "e" "r" "t" , Baseline equals "v" "t" Subscript, "A" "l" "b" "e" "r" "t" , Baseline equals negative 1 sl
L
A
l
b
e
r
t
=
v
t
A
l
b
e
r
t
=
−
1
s
l
"t" Subscript, "B" "i" "l" "l" , Baseline equals negative 1.7 3 2 s
t
B
i
l
l
=
−
1
.
7
3
2
s
"L" Subscript, "B" "i" "l" "l" , Baseline equals "v" "t" Subscript, "B" "i" "l" "l" , Baseline equals negative 0.8 6 6 sl
L
B
i
l
l
=
v
t
B
i
l
l
=
−
0
.
8
6
6
s
l
"v" equals 0.5 "c"
v
=
0
.
5
c
"x"
x
"y"
y
"a" squared
a
2
"a" Superscript, "b" , Baseline
a
b
7
7
8
8
9
9
over
÷
functions
(
(
)
)
less than
<
greater than
>
4
4
5
5
6
6
times
×
| "a" |
|
a
|
,
,
less than or equal to
≤
greater than or equal to
≥
1
1
2
2
3
3
negative
−
A B C
StartRoot, , EndRoot
pi
π
0
0
.
.
equals
=
positive
+
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