Physics Equation Sheet

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Kinematics
1
x  x o  v o t  at 2
2
v  v o  at
v  v  2a ( x  x o )
2
2
o
Dynamics
F  ma
f   k FN
w  mg
FG 
a
Gm1 m 2
r2
Gm
r2
Centripetal Acceleration
v2
a
r
t
1
T 
N f
N 1
f  
t T
2r
v
T
Energy
W  Fd parallel
GPE  mgh
1
KE  mv 2
2
W
P
t
P  Fv parallel
Eo  W  E f
Fspring  kx
EPE 
1 2
kx
2
Momentum
p  mv
p  m1 v1  m 2 v 2  ...
m1 v1  m 2 v 2  m1 v1  m 2 v 2
v1  v1  v 2  v 2
I  p
I  mv
I  Ft
Electrostatics, Fields and
Potential
kq q
FE  12 2
r
F
E
q
kq
E po int  2
r
kq1q2
UE 
r
U E   qV
kq
V po int 
r
V
Euniform 
r
U E   qEr
Magnetic Flux
  BA
Electric Current
Q
I
t
V  IR
Mass – Spring SHM
m
T  2
k
l
R
A
U
P E
t
P  IV
P  I 2R
P
V2
R
Resistors in Series
VT  V1  V 2  V3 ...
I T  I 1  I 2  I 3 ...
R Eq  R1  R 2  R3 ...
Resistors in Parallel
VT  V1  V 2  V3 ...
I T  I 1  I 2  I 3 ...
1
1
1
1



...
R EQ R1 R 2 R3
EMF
  IR  Ir
V    Ir
Magnetic Fields
F  IB 
F  qvB
 I
B o
2 r
 I I
F2  o 1 2 l 2
2 d
 N

t
  Blv
Waves
t
1
T 
N f
N 1

t T
v  f
2L
n 
n
v
v
fn 
n
 nf 1
n
2L
Single Slit
mL
xmin 
1
2
k
m
Pendulum SHM
l
T  2
g
f 
1
2
g
l
Open Tubes
v
v
fn 
n
 nf 1
n
2L
2L
n 
n
n  1,2,3...
Closed Tubes
v
v
fn 
n
 nf 1
n
4L
4L
n 
n
n  1,3,5...
Light
c  f
c
n
v

n 
n
Double Slit
mL
xmax 
m  0,1,2...
d
(m  1 2)L
xmin 
m  0,1,2...
d
m  1,2,3...
Quantum Physics
E  hf
h
p


f 
f 
d
h
mv
Constants
m
g  9 .8 2
s
  3.14
G  6.67 x1011
Nm2
kg 2
mE  6.0 x1024 kg
rE  6.4 x106 m
Nm2
C2
qelectron  1.6 x1019 C
k  9.0 x109
melectron  9.11x10 31 kg
m proton  1.67 x10 27 kg
o
Tm
 2 x10 7
2
A
m
s
 34
h  6.6 x10 Js
c  3.0 x108
Conversions
mega( M )  x10 6
kilo(k )  x103
centi(c)  x10  2
milli (m)  x10 3
micro (  )  x10 6
nano(n)  x10 9
pico ( p )  x10 12
Geometry
r
d
2
Acircls  r 2
Acircle 
d 2
4
circumference  2r
t
x
v
a
F
f
FN
μk
μs
w
g
G
r
d
h
GPE
W
P
KE
PE
EPE
UE
Fspring
k
T
N
f
π
p
I
FE
q or Q
k
E
V
A
ρ
l,L, 
UE
I
R

r
B
μo
Δ
Σ
Φ
λ
n
n,m
c
h
Time
Distance
Velocity
Acceleration
Force
Force of Friction
Normal Force
(Mu-k)Coefficient of Kinetic Friction
(Mu-s)Coefficient of Static Friction
Weight
Acceleration Due to Gravity
Gravitational Constant
Distance (Radius)
Distance (Diameter)
Distance (Height)
Gravitational Potential Energy
Work
Power
Kinetic Energy
Potential Energy
Elastic Potential Energy
Electric Potential Energy
Spring Force
Spring constant
Period
Number of Rotations
Frequency
Pi (3.14)
Momentum
Impulse
Electrostatic Force
Charge
Proportionality Constant
Electric Field
Electric Potential or Voltage
Area
(Rho) Resistivity
Distance (length)
Electrical Potential Energy
Current
Resistance
EMF (electromotive force)
Internal Resistance
Magnetic Field
Permeability of Free Space (constant)
Delta – means change
Sigma – means sum
Magnetic Flux
(Lambda) Wavelength
Index of Refraction
Number (1,2,3… or 1,3,5... or 2,4,6… etc.)
Speed of light in a vacuum
Plank’s constant
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