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Momentary Speed
v
=
d
x
d
t
v=\frac{dx}{dt}
v
=
d
t
d
x
Momentary Acceleration
a
=
d
v
d
t
=
d
2
x
d
t
2
a=\frac{dv}{dt}=\frac{d^2x}{dt^2}
a
=
d
t
d
v
=
d
t
2
d
2
x
Momentum
p
=
m
⋅
v
\bf{p} = m \cdot \bf{v}
p
=
m
⋅
v
Force
F
=
d
p
d
t
=
m
⋅
a
\textbf{F} = \frac{d\bf{p}}{dt} = m \cdot \bf{a}
F
=
d
t
d
p
=
m
⋅
a
Gravitation
F
=
C
⋅
m
1
⋅
m
2
r
2
F = C \cdot \frac{m_1 \cdot m_2}{r^2}
F
=
C
⋅
r
2
m
1
⋅
m
2
Centripetal Acceleration
a
c
=
v
2
r
=
r
ω
2
a_c = \frac{v^2}{r} = r \omega^2
a
c
=
r
v
2
=
r
ω
2
Work
W
=
∫
x
1
x
2
F
(
x
)
d
x
W = \int_{x_1}^{x_2} F(x) \,dx
W
=
∫
x
1
x
2
F
(
x
)
d
x
Kinetic Energy
K
=
m
⋅
v
2
2
K = \frac{m \cdot v^2}{2}
K
=
2
m
⋅
v
2
Potential Energy
W
=
−
Δ
U
,
F
=
−
d
U
d
x
W = -\Delta U, \, F = -\frac{dU}{dx}
W
=
−
Δ
U
,
F
=
−
d
x
d
U
Reduced Mass
1
μ
=
1
m
+
1
M
\frac{1}{\mu} = \frac{1}{m} + \frac{1}{M}
μ
1
=
m
1
+
M
1
Angular Frequency
ω
=
2
π
f
=
2
π
T
\omega = 2\pi f = \frac{2\pi}{T}
ω
=
2
π
f
=
T
2
π