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Physics Formulas
Mechanics
Density
ρ
=
m
V
\rho = \dfrac{m}{V}
ρ
=
V
m
Weight
W
=
m
g
W = mg
W
=
m
g
Moment of a Force
Moment
=
F
×
d
\text{Moment} = F \times d
Moment
=
F
×
d
Hooke's Law
F
=
k
e
F = ke
F
=
k
e
Pressure
P
=
F
A
P = \dfrac{F}{A}
P
=
A
F
Pressure in Fluids
Δ
P
=
h
ρ
g
\Delta P = h\rho g
Δ
P
=
h
ρ
g
Acceleration
a
=
v
−
u
t
a = \dfrac{v - u}{t}
a
=
t
v
−
u
Newton's Second Law
F
=
m
a
F = ma
F
=
ma
Momentum
p
=
m
v
p = mv
p
=
m
v
Impulse
Impulse
=
F
t
=
Δ
(
m
v
)
\text{Impulse} = Ft = \Delta(mv)
Impulse
=
F
t
=
Δ
(
m
v
)
Work Done
W
=
F
d
W = Fd
W
=
F
d
Kinetic Energy
E
k
=
1
2
m
v
2
E_k = \dfrac{1}{2}mv^2
E
k
=
2
1
m
v
2
Gravitational PE
E
p
=
m
g
h
E_p = mgh
E
p
=
m
g
h
Power
P
=
E
t
P = \dfrac{E}{t}
P
=
t
E
Efficiency
Efficiency
=
useful output
total input
×
100
%
\text{Efficiency} = \dfrac{\text{useful output}}{\text{total input}} \times 100\%
Efficiency
=
total input
useful output
×
100%
Speed
v
=
d
t
v = \dfrac{d}{t}
v
=
t
d
Thermal
Heat Capacity
E
H
=
C
Δ
θ
E_H = C\Delta\theta
E
H
=
C
Δ
θ
Specific Heat Capacity
E
H
=
m
c
Δ
θ
E_H = mc\Delta\theta
E
H
=
m
c
Δ
θ
Specific Latent Heat of Fusion
E
=
m
L
f
E = m L_f
E
=
m
L
f
Specific Latent Heat of Vaporisation
E
=
m
L
v
E = m L_v
E
=
m
L
v
Boyle's Law
P
1
V
1
=
P
2
V
2
P_1 V_1 = P_2 V_2
P
1
V
1
=
P
2
V
2
Charles' Law
V
1
T
1
=
V
2
T
2
\dfrac{V_1}{T_1} = \dfrac{V_2}{T_2}
T
1
V
1
=
T
2
V
2
Pressure Law
P
1
T
1
=
P
2
T
2
\dfrac{P_1}{T_1} = \dfrac{P_2}{T_2}
T
1
P
1
=
T
2
P
2
Combined Gas Law
P
1
V
1
T
1
=
P
2
V
2
T
2
\dfrac{P_1 V_1}{T_1} = \dfrac{P_2 V_2}{T_2}
T
1
P
1
V
1
=
T
2
P
2
V
2
Kelvin Temperature
T
=
θ
+
273
T = \theta + 273
T
=
θ
+
273
Waves
Wave Equation
v
=
f
λ
v = f\lambda
v
=
f
λ
Period & Frequency
T
=
1
f
T = \dfrac{1}{f}
T
=
f
1
Snell's Law
n
=
sin
i
sin
r
n = \dfrac{\sin i}{\sin r}
n
=
sin
r
sin
i
Snell's Law (speed form)
n
=
v
1
v
2
n = \dfrac{v_1}{v_2}
n
=
v
2
v
1
Critical Angle
sin
c
=
1
n
\sin c = \dfrac{1}{n}
sin
c
=
n
1
Magnification
M
=
v
u
=
image height
object height
M = \dfrac{v}{u} = \dfrac{\text{image height}}{\text{object height}}
M
=
u
v
=
object height
image height
Lens Formula
1
f
=
1
u
+
1
v
\dfrac{1}{f} = \dfrac{1}{u} + \dfrac{1}{v}
f
1
=
u
1
+
v
1
Electricity
Charge
Q
=
I
t
Q = It
Q
=
I
t
Voltage Definition
V
=
E
Q
V = \dfrac{E}{Q}
V
=
Q
E
Ohm's Law
V
=
I
R
V = IR
V
=
I
R
Resistance
R
=
V
I
R = \dfrac{V}{I}
R
=
I
V
Electrical Power
P
=
I
V
P = IV
P
=
I
V
Electrical Energy
E
=
Q
V
E = QV
E
=
Q
V
Resistance (Series)
R
T
=
R
1
+
R
2
+
R
3
+
…
R_T = R_1 + R_2 + R_3 + \ldots
R
T
=
R
1
+
R
2
+
R
3
+
…
Resistance (Parallel)
1
R
T
=
1
R
1
+
1
R
2
+
…
\dfrac{1}{R_T} = \dfrac{1}{R_1} + \dfrac{1}{R_2} + \ldots
R
T
1
=
R
1
1
+
R
2
1
+
…
Transformer Equation
V
s
V
p
=
N
s
N
p
=
I
p
I
s
\dfrac{V_s}{V_p} = \dfrac{N_s}{N_p} = \dfrac{I_p}{I_s}
V
p
V
s
=
N
p
N
s
=
I
s
I
p
AC Frequency
f
=
1
T
f = \dfrac{1}{T}
f
=
T
1
Atomic
Mass Number
A
=
Z
+
N
A = Z + N
A
=
Z
+
N
Mass-Energy Equivalence
E
=
m
c
2
E = mc^2
E
=
m
c
2