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Spring-ball system RK4
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Tick Action: "r" Subscript, "k" 4 , Baseline
r
k
4
every
Min Step Time: 1
1
ms
Expression 25: "E" Subscript, "p" "e" , Baseline equals round left parenthesis, 1 half "k" left parenthesis, "L" minus "l" , right parenthesis squared , 2 , right parenthesis
E
p
e
=
r
o
u
n
d
1
2
k
L
−
l
2
,
2
equals
=
6.8 6
6
.
8
6
25
Expression 26: "E" Subscript, "T" , Baseline equals round left parenthesis, "K" Subscript, "e" , Baseline plus "G" Subscript, "p" "e" , Baseline plus "E" Subscript, "p" "e" , Baseline , 2 , right parenthesis
E
T
=
r
o
u
n
d
K
e
+
G
p
e
+
E
p
e
,
2
equals
=
465.7 4
4
6
5
.
7
4
26
KE: ${K_{e}} left parenthesis, 5 , negative 1 , right parenthesis
5
,
−
1
Label:
27
GPE:${G_{pe}} left parenthesis, 5 , negative 3 , right parenthesis
5
,
−
3
Label:
28
EPE:${E_{pe}} left parenthesis, 5 , negative 5 , right parenthesis
5
,
−
5
Label:
29
Total Energy: ${E_{T}} left parenthesis, 5 , negative 7 , right parenthesis
5
,
−
7
Label:
30
Force, acceleration, velocity
Force, acceleration, velocity
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31
Expression 32: "l" equals distance left parenthesis, "P" Subscript, 1 , Baseline , "P" Subscript, 2 , Baseline , right parenthesis
l
=
d
i
s
t
a
n
c
e
P
1
,
P
2
equals
=
11.1 7 1 4 1 7 8 5 3 9
1
1
.
1
7
1
4
1
7
8
5
3
9
32
Expression 33: "F" left parenthesis, "p" Subscript, 10 , Baseline , "p" Subscript, 20 , Baseline , right parenthesis equals "k" left parenthesis, "L" minus distance left parenthesis, "p" Subscript, 10 , Baseline , "p" Subscript, 20 , Baseline , right parenthesis , right parenthesis
F
p
1
0
,
p
2
0
=
k
L
−
d
i
s
t
a
n
c
e
p
1
0
,
p
2
0
33
Expression 34: "a" left parenthesis, "p" Subscript, 10 , Baseline , "p" Subscript, 20 , Baseline , "m" Subscript, 10 , Baseline , right parenthesis equals StartFraction, "F" left parenthesis, "p" Subscript, 10 , Baseline , "p" Subscript, 20 , Baseline , right parenthesis Over "m" Subscript, 10 , Baseline , EndFraction times "n" Subscript, "o" "r" "m" , Baseline left parenthesis, "p" Subscript, 10 , Baseline minus "p" Subscript, 20 , Baseline , right parenthesis plus left parenthesis, 0 , negative "g" , right parenthesis
a
p
1
0
,
p
2
0
,
m
1
0
=
F
p
1
0
,
p
2
0
m
1
0
·
n
o
r
m
p
1
0
−
p
2
0
+
0
,
−
g
34
Hidden Label: "a" Subscript, 1 , Baseline equals "a" left parenthesis, "P" Subscript, 1 , Baseline , "P" Subscript, 2 , Baseline , "m" Subscript, 1 , Baseline , right parenthesis
a
1
=
a
P
1
,
P
2
,
m
1
Label
35
Hidden Label: "a" Subscript, 2 , Baseline equals "a" left parenthesis, "P" Subscript, 2 , Baseline , "P" Subscript, 1 , Baseline , "m" Subscript, 2 , Baseline , right parenthesis
a
2
=
a
P
2
,
P
1
,
m
2
Label
36
Hidden Label: "v" Subscript, 1 , Baseline equals left parenthesis, 0 , negative 19.4 7 3 6 5 8 7 7 1 7 6 2 5 8 7 , right parenthesis
v
1
=
0
,
−
1
9
.
4
7
3
6
5
8
7
7
1
7
6
2
5
8
7
Label
37
Hidden Label: "v" Subscript, 2 , Baseline equals left parenthesis, 0 , 7.7 5 2 7 7 0 1 3 3 9 0 4 3 7 5 , right parenthesis
v
2
=
0
,
7
.
7
5
2
7
7
0
1
3
3
9
0
4
3
7
5
Label
38
Bounce floor conditions
Bounce floor conditions
Hide this folder from students.
39
L, k, g, m1, m2, h
L, k, g, m1, m2, h
Hide this folder from students.
45
Expression 46: "L" equals 10
L
=
1
0
1
1
10
1
0
46
Expression 47: "k" equals 10
k
=
1
0
0
0
10
1
0
47
Expression 48: "g" equals 10
g
=
1
0
0
0
10
1
0
48
Expression 49: "m" Subscript, 1 , Baseline equals 1
m
1
=
1
1
1
10
1
0
49
Expression 50: "m" Subscript, 2 , Baseline equals 1
m
2
=
1
1
1
10
1
0
50
Expression 51: "h" equals 0.0 2
h
=
0
.
0
2
0
0
0.1
0
.
1
51
Points and lines
Points and lines
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52
Functions: (norm, mag, reflect)
Functions: (norm, mag, reflect)
Hide this folder from students.
57
Expression 61:
61
Expression 62:
62
63
powered by
powered by
KE: 219.66
GPE:239.22
EPE:6.86
Total Energy: 465.74
1
2
"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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