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8/20/2019 Ispit_Fizika_1.pdf
1/539
299 792 458
299.792458
−1
2.99792458 × 108
−1
299 792 458
−1
2.99792458 × 109
s
s
=
∆t
s
= ∆v
∆t
s
= v̄
s
= ∆x
∆t
a = 1
v0 = 2
g(x)
f (x)
j(x)
h(x)
a + b A(0, 0) B(1, 2) C (3, 1) D(2, 2)
A
B
C
D
a
b
√ 5
5
9
3
1
−2
1
−2
1
1
f
f
f
> f
f
< f
f
= f
f
= − f
K 1 < K 2 K 1 = K 2
K 1 = K 2 = 0
K 1 = −K 2
F
d
W = mgh
W = F d
W = F d · sin φ W = F · d
8/20/2019 Ispit_Fizika_1.pdf
2/539
∆U
−100
W =−
100
W = 0
W = 100
W = 100
p t
m1
v1i
m2
v2f
v2f ≈ 0
v2f ≈2m1m2
v1i
v2f ≈ −v1i v2f ≈ v1i
ω
6.283
−1
1
2π −1
60
x
t
x(t) = xm cos(ωt + ϕ).
ϕ
1.5
3π2
0.5
π2
v
λf
λT
1
T
ωt
x
15
600
675
225
100
45
34
28
12
8/20/2019 Ispit_Fizika_1.pdf
3/539
6
8
1
3
8
x
x(t) = (4
) × cos(πt + π4
),
t
v(1
) = 5.444
−1
a(1
) = 12.498
−2
v(1
) = 10.322
−1
a(1
) = 12.887
−2
v(1
) = 2.789
−1
a(1
) = 0.112
−2
v(1
) = 8.881
−1
a(1
) = 27.887
−2
l = 10
T = 5
l0
8.100
3.781
2.134
1.552
T
T
α = 60◦
α = 45◦
α = 30◦
α = 45◦
α
α = 60◦
α = π
α = 45◦
α = 0.5π
−32 ◦
−60 ◦
8/20/2019 Ispit_Fizika_1.pdf
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299 792 458
299 792 458
−1
2.99792458 × 108
−1
299.792458
−1
2.99792458 × 109
s
s
= ∆x
∆t
s
=
∆t
s
= v̄
s
= ∆v
∆t
a = 1
v0 = 2
j(x)
g(x)
h(x)
f (x)
a + b A(0, 0) B(1, 2) C (3, 1) D(2, 2)
A
B
C
D
a
b
√ 5
3
9
5
1
1
−2
1 −2
1
f
f
f
= f
f
< f
f
> f
f
= − f
K 1 < K 2 K 1 = K 2 = 0
K 1 = −K 2 K 1 = K 2
F
d
W = F d
W = mgh
W = F d · sin φ W = F · d
8/20/2019 Ispit_Fizika_1.pdf
8/539
∆U
−100
W = 0
W = 100
W = −100 W = 100
p t
m1
v1i
m2
v2f
v2f ≈2m1m2
v1i
v2f ≈ v1i v2f ≈ −v1i
v2f ≈ 0
ω
1
2π
−1
6.283 −1
60
x
t
x(t) = xm cos(ωt + ϕ).
ϕ
3π2
0.5
1.5
π2
v
λf
ωt
1
T
λT
x
15
600
675
225
100
45
28
34
12
8/20/2019 Ispit_Fizika_1.pdf
9/539
6
8
1
3
8
x
x(t) = (4
) × cos(πt + π4
),
t
v(1
) = 5.444
−1
a(1
) = 12.498
−2
v(1
) = 2.789
−1
a(1
) = 0.112
−2
v(1
) = 8.881
−1
a(1
) = 27.887
−2
v(1
) = 10.322
−1
a(1
) = 12.887
−2
l = 10
T = 5
l0
8.100
2.134
1.552
3.781
T
T
α = 30◦
α = 45◦
α = 60◦
α = 45◦
α
α = π
α = 45◦
α = 0.5π
α = 60◦
−32 ◦
−60 ◦
8/20/2019 Ispit_Fizika_1.pdf
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299 792 458
2.99792458 × 108
−1
299 792 458
−1
299.792458
−1
2.99792458 × 109
s
s
= ∆v
∆t
s
= v̄
s
=
∆t
s
= ∆x
∆t
a = 1
v0 = 2
f (x)
g(x)
j(x)
h(x)
a + b A(0, 0) B(1, 2) C (3, 1) D(2, 2)
A
B
C
D
a
b
9
√ 5
5
3
1
1
−2
1
1 −2
f
f
f
< f
f
> f
f
= f
f
= − f
K 1 = K 2 K 1 = −K 2
K 1 < K 2
K 1 = K 2 = 0
F
d
W = F d · sin φ W = F · d
W = F d
W = mgh
8/20/2019 Ispit_Fizika_1.pdf
14/539
∆U
−100
W =−
100
W = 0
W = 100
W = 100
p t
m1
v1i
m2
v2f
v2f ≈ v1i v2f ≈ −v1i
v2f ≈ 0 v2f ≈
2m1m2
v1i
ω
1
2π
−1
6.283 −1
60
x
t
x(t) = xm cos(ωt + ϕ).
ϕ
3π2
0.5
π2
1.5
v
1
T
λf
ωt
λT
x
15
675
225
600
100
28
12
34
45
8/20/2019 Ispit_Fizika_1.pdf
15/539
6
8
1
3
8
x
x(t) = (4
) × cos(πt + π4
),
t
v(1
) = 2.789
−1
a(1
) = 0.112
−2
v(1
) = 5.444
−1
a(1
) = 12.498
−2
v(1
) = 8.881
−1
a(1
) = 27.887
−2
v(1
) = 10.322
−1
a(1
) = 12.887
−2
l = 10
T = 5
l0
8.100
3.781
2.134
1.552
T
T
α = 45◦
α = 45◦
α = 60◦
α = 30◦
α
α = 60◦
α = π
α = 0.5π
α = 45◦
−32 ◦
−60 ◦
8/20/2019 Ispit_Fizika_1.pdf
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299 792 458
2.99792458 × 109
299.792458
−1
2.99792458 × 108
−1
299 792 458
−1
s
s
=
∆t
s
= ∆x
∆t
s
= v̄
s
= ∆v
∆t
a = 1 v0 = 2
h(x)
f (x)
g(x)
j(x)
a + b A(0, 0) B(1, 2) C (3, 1) D(2, 2)
A
B
C
D
a
b
5
9
√ 5
3
1
1
1 −2
1 −2
f
f
f
= − f
f
< f
f
= f
f
> f
K 1 = K 2 K 1 < K 2
K 1 = −K 2 K 1 = K 2 = 0
F
d
W = F d
W = F · d W = mgh
W = F d · sin φ
8/20/2019 Ispit_Fizika_1.pdf
20/539
∆U
−100
W = 100
W = −100 W = 0
W = 100
p t
m1
v1i
m2
v2f
v2f ≈ 0
v2f ≈2m1m2
v1i
v2f ≈ −v1i v2f ≈ v1i
ω
2π
−1
6.283
−1
1
60
x
t
x(t) = xm cos(ωt + ϕ).
ϕ
1.5
π2
0.5
3π2
v
λT
ωt
λf
1
T
x
15
100
225
600
675
12
34
45
28
8/20/2019 Ispit_Fizika_1.pdf
21/539
6
8
1
3
8
x
x(t) = (4
) × cos(πt + π4
),
t
v(1
) = 2.789
−1
a(1
) = 0.112
−2
v(1
) = 10.322
−1
a(1
) = 12.887
−2
v(1
) = 5.444
−1
a(1
) = 12.498
−2
v(1
) = 8.881
−1
a(1
) = 27.887
−2
l = 10
T = 5
l0
3.781
2.134
1.552
8.100
T
T
α = 45◦
α = 60◦
α = 30◦
α = 45◦
α
α = 60◦
α = 45◦
α = π
α = 0.5π
−32 ◦
−60 ◦
8/20/2019 Ispit_Fizika_1.pdf
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299 792 458
2.99792458 × 109
2.99792458 × 108
−1
299 792 458
−1
299.792458
−1
s
s
= v̄
s
= ∆x
∆t
s
= ∆v
∆t
s
=
∆t
a = 1 v0 = 2
j(x)
g(x)
f (x)
h(x)
a + b A(0, 0) B(1, 2) C (3, 1) D(2, 2)
A
B
C
D
a
b
5
9
3
√ 5
1
1
−2
1
1 −2
f
f
f
< f
f
> f
f
= − f
f
= f
K 1 = K 2 = 0 K 1 = −K 2
K 1 = K 2
K 1 < K 2
F
d
W = F · d W = F d · sin φ
W = mgh
W = F d
8/20/2019 Ispit_Fizika_1.pdf
26/539
∆U
−100
W = 0
W = 100
W = 100
W = −100
p t
m1
v1i
m2
v2f
v2f ≈ 0 v2f ≈ −v1i
v2f ≈2m1m2
v1i
v2f ≈ v1i
ω
6.283
−1
1
2π −1
60
x
t
x(t) = xm cos(ωt + ϕ).
ϕ
3π2
1.5
π2
0.5
v
λf
λT
ωt
1
T
x
15
100
675
225
600
12
34
28
45
8/20/2019 Ispit_Fizika_1.pdf
27/539
6
8
1
3
8
x
x(t) = (4
) × cos(πt + π4
),
t
v(1
) = 8.881
−1
a(1
) = 27.887
−2
v(1
) = 5.444
−1
a(1
) = 12.498
−2
v(1
) = 10.322
−1
a(1
) = 12.887
−2
v(1
) = 2.789
−1
a(1
) = 0.112
−2
l = 10
T = 5
l0
1.552
8.100
3.781
2.134
T
T
α = 30◦
α = 60◦
α = 45◦
α = 45◦
α
α = 60◦
α = 0.5π
α = π
α = 45◦
−32 ◦
−60 ◦
8/20/2019 Ispit_Fizika_1.pdf
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299 792 458
2.99792458 × 108
−1
299 792 458
−1
299.792458
−1
2.99792458 × 109
s
s
= v̄
s
=
∆t
s
= ∆v
∆t
s
= ∆x
∆t
a = 1
v0 = 2
h(x)
f (x)
j(x)
g(x)
a + b A(0, 0) B(1, 2) C (3, 1) D(2, 2)
A
B
C
D
a
b
9
3
√ 5
5
1
−2
1
1 −2
1
f
f
f
= − f
f
< f
f
= f
f
> f
K 1 < K 2 K 1 = −K 2
K 1 = K 2 = 0
K 1 = K 2
F
d
W = F d · sin φ W = F · d
W = mgh
W = F d
8/20/2019 Ispit_Fizika_1.pdf
32/539
∆U
−100
W = 100
W = −100 W = 100
W = 0
p t
m1
v1i
m2
v2f
v2f ≈ −v1i v2f ≈ 0
v2f ≈2m1m2
v1i
v2f ≈ v1i
ω
2π
−1
1
60
6.283
−1
x
t
x(t) = xm cos(ωt + ϕ).
ϕ
1.5
3π2
π2
0.5
v
λf
λT
1
T
ωt
x
15
600
100
675
225
28
45
12
34
8/20/2019 Ispit_Fizika_1.pdf
33/539
6
8
1
3
8
x
x(t) = (4
) × cos(πt + π4
),
t
v(1
) = 8.881
−1
a(1
) = 27.887
−2
v(1
) = 5.444
−1
a(1
) = 12.498
−2
v(1
) = 2.789
−1
a(1
) = 0.112
−2
v(1
) = 10.322
−1
a(1
) = 12.887
−2
l = 10
T = 5
l0
8.100
3.781
2.134
1.552
T
T
α = 45◦
α = 60◦
α = 30◦
α = 45◦
α
α = 0.5π
α = π
α = 60◦
α = 45◦
−32 ◦
−60 ◦
8/20/2019 Ispit_Fizika_1.pdf
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299 792 458
299.792458
−1
299 792 458
−1
2.99792458 × 108
−1
2.99792458 × 109
s
s
= v̄
s
=
∆t
s
= ∆x
∆t
s
= ∆v
∆t
a = 1
v0 = 2
g(x)
h(x)
j(x)
f (x)
a + b A(0, 0) B(1, 2) C (3, 1) D(2, 2)
A
B
C
D
a
b
5
9
3
√ 5
1
1
−2
1 −2
1
f
f
f
< f
f
= − f
f
> f
f
= f
K 1 = K 2 = 0 K 1 = K 2
K 1 < K 2
K 1 = −K 2
F
d
W = F · d W = F d
W = mgh
W = F d · sin φ
8/20/2019 Ispit_Fizika_1.pdf
38/539
∆U
−100
W =−
100
W = 0
W = 100
W = 100
p t
m1
v1i
m2
v2f
v2f ≈ −v1i v2f ≈ 0
v2f ≈ v1i v2f ≈
2m1m2
v1i
ω
6.283
−1
2π
−1
60
1
x
t
x(t) = xm cos(ωt + ϕ).
ϕ
1.5
0.5
π2
3π2
v
λT
1
T
ωt
λf
x
15
600
675
100
225
28
12
45
34
8/20/2019 Ispit_Fizika_1.pdf
39/539
6
8
1
3
8
x
x(t) = (4
) × cos(πt + π4
),
t
v(1
) = 2.789
−1
a(1
) = 0.112
−2
v(1
) = 8.881
−1
a(1
) = 27.887
−2
v(1
) = 10.322
−1
a(1
) = 12.887
−2
v(1
) = 5.444
−1
a(1
) = 12.498
−2
l = 10
T = 5
l0
8.100
3.781
1.552
2.134
T
T
α = 45◦
α = 60◦
α = 30◦
α = 45◦
α
α = 60◦
α = 45◦
α = 0.5π
α = π
−32 ◦
−60 ◦
8/20/2019 Ispit_Fizika_1.pdf
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299 792 458
2.99792458 × 108
−1
299.792458
−1
2.99792458 × 109
299 792 458
−1
s
s
= ∆v
∆t
s
= v̄
s
=
∆t
s
= ∆x
∆t
a = 1 v0 = 2
h(x)
f (x)
j(x)
g(x)
a + b A(0, 0) B(1, 2) C (3, 1) D(2, 2)
A
B
C
D
a
b
√ 5
5
3
9
1
−2
1
1
1 −2
f
f
f
= − f
f
< f
f
> f
f
= f
K 1 = K 2 K 1 < K 2
K 1 = K 2 = 0
K 1 = −K 2
F
d
W = F · d W = F d · sin φ
W = mgh
W = F d
8/20/2019 Ispit_Fizika_1.pdf
44/539
∆U
−100
W = 100
W = 0
W = 100
W = −100
p t
m1
v1i
m2
v2f
v2f ≈ 0 v2f ≈ −v1i
v2f ≈ v1i v2f ≈
2m1m2
v1i
ω
60
2π
−1
1
6.283
−1
x
t
x(t) = xm cos(ωt + ϕ).
ϕ
0.5
3π2
π2
1.5
v
λT
ωt
1
T
λf
x
15
100
675
600
225
28
45
34
12
8/20/2019 Ispit_Fizika_1.pdf
45/539
6
8
1
3
8
x
x(t) = (4
) × cos(πt + π4
),
t
v(1
) = 5.444
−1
a(1
) = 12.498
−2
v(1
) = 10.322
−1
a(1
) = 12.887
−2
v(1
) = 8.881
−1
a(1
) = 27.887
−2
v(1
) = 2.789
−1
a(1
) = 0.112
−2
l = 10
T = 5
l0
2.134
1.552
8.100
3.781
T
T
α = 45◦
α = 60◦
α = 45◦
α = 30◦
α
α = 45◦
α = 60◦
α = 0.5π
α = π
−32 ◦
−60 ◦
8/20/2019 Ispit_Fizika_1.pdf
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299 792 458
299 792 458
−1
2.99792458 × 109
2.99792458 × 108
−1
299.792458
−1
s
s
=
∆t
s
= ∆v
∆t
s
= v̄
s
= ∆x
∆t
a = 1 v0 = 2
j(x)
f (x)
h(x)
g(x)
a + b A(0, 0) B(1, 2) C (3, 1) D(2, 2)
A
B
C
D
a
b
9
3
√ 5
5
1
−2
1
1 −2
1
f
f
f
> f
f
< f
f
= − f
f
= f
K 1 = K 2 = 0 K 1 = K 2
K 1 = −K 2 K 1 < K 2
F
d
W = F · d W = mgh
W = F d
W = F d · sin φ
8/20/2019 Ispit_Fizika_1.pdf
50/539
∆U
−100
W = 100
W = −100 W = 0
W = 100
p t
m1
v1i
m2
v2f
v2f ≈2m1m2
v1i
v2f ≈ −v1i v2f ≈ 0
v2f ≈ v1i
ω
2π
−1
60
6.283 −1
1
x
t
x(t) = xm cos(ωt + ϕ).
ϕ
π2
0.5
1.5
3π2
v
ωt
λT
1
T
λf
x
15
100
225
600
675
28
12
34
45
8/20/2019 Ispit_Fizika_1.pdf
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6
8
1
3
8
x
x(t) = (4
) × cos(πt + π4
),
t
v(1
) = 5.444
−1
a(1
) = 12.498
−2
v(1
) = 10.322
−1
a(1
) = 12.887
−2
v(1
) = 8.881
−1
a(1
) = 2