Name __________________________
Honors Physics
Teacher ________________________
Equation Sheet
Period _____
Fall Semester
Spring Semester
Constant Motion
UCM and Gravity
Δd = v c t
(Uniform Circular Motion)
Changing Motion
Δd = v avg t
v f = v i + at
1
Δd = v it + at 2
2
2
2
v f = v i + 2aΔd
Newton’s Laws
ΣF = Fnet = ma
Fg = mg (weight)
Fg =
Gm1m2
2
or
Gm1m2
r
d
τ = rF sin θ
1
T=
f
2πr
v=
T
v2
ac =
r
Work and Energy
W = FΔdcosθ
Wnet = ΔKE
Ffriction ≤ µFN
Fspring = −kx
W = ΔE
PEgravity = mgh
2D Motion
1
KE = mv 2
2
v x = v cosθ
v y = v sinθ
2
PEi + KEi = PE f + KE f
W E
= = Fv
t
t
1
PEspring = kx 2
2
Q = mcΔT
9
F = C + 32
5
K = 273.15 + C
P=
Impulse & Momentum
Circuits
p = mv
m1v1 + m2 v 2 = m1v!1 + m2 v!2
J = Fnet Δt = Δp = mΔv
V = iR
P = iV = i2R =
fn = nf1
Electromagnetic Waves
c = λf
c
n=
v
ni sin θi = nr sin θr
M=
R series
1
R parallel
Magnetism
FB = qvB sin θ
FB = BiL sinθ
hi
d
=− i
ho
do
µ oi
2πr
VP iS
=
VS iP
B=
1 1 1
= +
f do di
f=
R
2
Modern
E = Pt
E = hf
W = hft
KE = E − W
KE = hf − hft
Electrostatics
Q = Ne
kq q
kq q
FE = 12 2 or 12 2
r
d
F
E= E
q
kQ
E= 2
r
W
V=
q
Q
t
ρL
R=
A
= R i + R 2 + ...
1
1
=
+
+ ...
Ri R 2
i=
Mechanical Waves
v = λf
4L
2L
or λ n =
λn =
n
n
V2
R
En =
E1
n2
(Hydrogen ONLY)
h
h
=
p mv
E = mc 2
λ=
Working Equation - Algebraically manipulate your equation(s) solving for the unknown variable. The working
equation may only have variables identified in the given.
Name
Variable
Unit
Acceleration ............................ a ...............m/s2
Acceleration due to Gravity..... g ...............m/s2
Average Velocity ..................... vavg ............m/s
Average Speed ....................... vavg ............m/s
Charge .................................... q or Q .......C, coulomb
Constant Velocity .................... vc ..............m/s
Current .................................... i or I ..........A, ampere
de Broglie Wavelength............ λ ...............m, meter
Displacement .......................... Δd or d ......m, meter
Distance .................................. Δd or d ......m, meter
Electric Field ........................... E ...............N/C
Electrostatic Force .................. FE .............N
Elementary Charge ................. e ...............C, coulomb
Energy .................................... E ...............J, joule
Focal Length ........................... f ................m, meter
Force....................................... F ...............N, newton
Frequency ............................... f ................1/s or Hz, hertz
Frictional Force ....................... Ff ..............N, newton
Gravitational Force ................. Fg ..............N, newton
Image Distance ....................... di ...............m, meter
Impulse ................................... J ...............Ns
Instantaneous speed .............. v ...............m/s
Magnetic Field ........................ B ...............T, tesla
Magnetic Force ....................... FB .............N
Mass ....................................... m ..............kg, kilogram
Momentum .............................. p ...............kgm/s
Net Force ................................ Fnet or ΣF ..N, newton
Normal Force .......................... FN .............N, newton
Number ................................... N ..............no unit
Kinetic Energy......................... KE ............J, joule
Object Distance ...................... do ..............m, meter
Period ..................................... T ...............s, second
Pitch ........................................ f ................1/s or Hz, hertz
Potential Difference ................ V ...............V, volt
Potential Energy
Gravitational......................... PEg ...........J, joule
Elastic .................................. PEE ...........J, joule
Power...................................... P ...............W, watt
Radius..................................... r ................m, meter
Resistance .............................. R...............Ω, ohm
Speed ..................................... v ...............m/s
Spring Constant ...................... k ...............N/m
Summation of Forces.............. Fnet or ΣF ..N, newton
Tangential Velocity/Speed ...... vT ..............m/s
Tension Force ......................... FT..............N, newton
Time ........................................ t ................s, second
Velocity ................................... v ...............m/s
Velocity (constant) ............... vc ............. m/s
Velocity (average) ................. vavg .......... m/s
Volts ........................................ V ...............V, volt
Voltage.................................... V ...............V, volt
Wavelength ............................. λ ...............m, meter
Wave Speed ........................... v ...............m/s
Weight..................................... Fg ..............N, newton
Work ....................................... W ..............J, joule
Work Function......................... W ..............J, joule
Right Triangle Trigonometry
2
a + b2 = c 2
a opp
sin θ = =
c hyp
b adj
cos θ = =
c hyp
a opp
tan θ = =
b adj
c
a
θ
b
Trigonometric Values
θ
sin θ
cos θ
tan θ
0°
0
1
0
30°
1
3
37°
3
45°
2
53°
4
2
5
2
5
60°
3
90°
1
2
4
5
2
3
2
3
4
4
3
3
2
0
3
1
2
5
1
3
Inf.
Ratio
A to B is
A
B
OR
A:B is
A
B
Constants and Conversion Factors
Acceleration due to gravity ... g = 9.8 m/s2
Pi ................................... ……π = 3.14
Universal gravitational
constant.......................... G = 6.67 x 10-11 Nm2/kg2
Mass of the Earth ................. 5.97 X 1024 kg
Radius of the Earth .............. 6.37 X 106 m
Mass of the Moon.................. 7.36 X 1022 kg
Radius of the Moon ............... 1.74 X 106 m
Mass of the Sun ................... 1.99 X 1030 kg
Distance between:
- Earth and Sun 1.5 X 1011 m
-Earth and Moon 3.82 X 108 m
Index of refraction of air ....... n = 1
Speed of sound in air ............ v = 343 m/s
Speed of light in a vacuum ... c = 3.00 X 108 m/s
Elementary charge ………….e = 1.60 X 10-19 C
Coulomb’s law constant ....... k= 9.0 X 109 Nm2/C2
Vacuum permeability............. µo = 4π X 10-7 Tm/A
Planck’s constant ................. h = 4.14 X 10-15 eVs
h = 6.63 X 10-34 Js
electron-volt (eV) Joule
conversion ............................. 1 eV = 1.6 X 10-19 J
Proton mass ......................... mp = 1.67 x 10-27 kg
Neutron mass ....................... mn = 1.67 x 10-27 kg
Electron mass ...................... me = 9.11 x 10-31 kg
Avogadro’s number .............. No = 6.02 X 1023 mol-1