Physics Nyc Equation Sheet
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1Physics NYC Equation Sheet
Simple Harmonic Motion
Waves and Sound
Interference and Diffraction
y x t
( , )
A cos(
kx
t
)
d
sin
m
F
kx
ω
θ
λ
=
±
=
= −
x
2
d
sin
(
m
1
)
x t
( )
A
cos(
t
)
π
θ
λ
=
+
ω
φ
=
+
k
2
=
2
a
sin
m
λ
π
θ
λ
=
2 f
ω
π
=
=
ω
2
π
T
v
f
λ
=
=
d
sin
φ
θ
=
k
L
λ
T
2
π
=
2
F
π
g
a
sin
v
β
θ
=
=
λ
µ
m
λ
T
2
π
=
2
2
P
F
A
1
1.22
µ ω
=
θ
=
k
av
2
D
y x t
( , )
A
sin( )sin( )
kx
t
=
ω
2
K
1
m
v
=
SW
φ
⎛ ⎞
2
2
I
I
cos
=
f
= Δ f = f
− f
⎜ ⎟
U
mgh
max
2
=
⎝ ⎠
a
b
beat
g
P
2
2
U
1
kx
=
sin( / 2)
β
⎛
⎞
I
av
s
2
=
I
I
=
A
⎜
⎟
2
max
E
K U
1
kA
/ 2
=
+
=
β
⎝
⎠
total
2
I
⎛
⎞
10log
β
=
⎜
⎟
I
⎝
⎠
0
!
$
v ± v
Constants
f
& & f
L
=
# #
L
S
v v
"
%
S
Speed of sound in air (20°) = 343 m/s
Quantum Physics
12
2
I
1.0 10
W/m
Threshold of hearing:
−
=
×
0
hc
E
hf
=
=
Audible range: 20 Hz to 20000 Hz
λ
Relativity
eV
hf
Visible spectrum: 400 nm to 700 nm
φ
=
−
0
��
= ����
t
t
γ
8
Δ = Δ
c =
3.00 10 m/s
!"#
!
×
0
h
l
p
=
19
1 eV 1.60 10
J
l
0
−
=
=
×
λ
γ
h
31
m
9.11 10
−
kg
=
×
1
1 cos
(
)
λ
φ
Δ =
−
e
γ
=
m c
2
0.511 MeV/
c
2
2
e
1 u c
=
−
Δ x Δ p
( )
≥
v
u
−
27
x
m
m
1.67 10
kg
−
'
=
=
×
x
v
=
p
n
x
2 2
n h
2
1
v u c
/
−
2
x
E
n E
2
938 MeV/
c
=
=
=
n
1
2
v
u
8
mL
ʹ′ +
x
v
=
34
h
6.63 10
J s
−
x
=
×
⋅
2
1
v u c
/
ʹ′
+
x
2
n x
π
15
4.14 10
eV s
−
V
+ V
=
×
⋅
( )
x
sin(
)
ψ
=
AD
V
DB
=
n
L
L
AB
V
V
2
g =
9.81 m/s
AD
DB
1+
E
13.6eV
−
2
E
1
c
=
=
n
2
2
n
n
E = −
13.6 eV
for hydrogen atom
p = γm
v
1
2
2
-19
E
mc
K mc
e = 1.6 x 10
C
=
γ
=
+
2
2
(
)
2
2
E
mc
pc
( )
=
+
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