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force units
F=ma
newtons = kg*m/s^2
torque units
T=rFcosθ
[newton-meters = N*m]
momentum
P= mv
[kg*m/s]
impulse
J= Ft
J=Δp
[newton-seconds = N*s]
work units
joules = J = kg*m^2/s^2
energy units
joules = J = kg*m^2/s^2
power units
watts = W = J/s
pressure
P=F/A
[pascals = Pa = N/m^2]
density units
ρ= m/v
kilograms per cubic meter = kg/m^3
flow rate
Q=va
m^3/s
electric charge
coulombs = C
electric field
newtons per coulomb = N/C (or volts per meter = V/m)
electric potential
E= qV
[Joules]
voltage
V=IR
[volts = V = J/C]
current
I= V/R
I=Q/t
[amps = A = C/s]
resistance
R=V/I
R=ρL/A
[ohms = Ω = V/A]
resistivity
ohm-meters = Ω*m
capacitance
farads = F = C/V
magnetic field
teslas = T = N/A*m
frequency
hertz = Hz = s^-1
period
seconds = s
sound level
decibels = dB
lens power
P= 1/f
[diopters = D = m^-1]
(3) kinematics
Δv=at
v^2=Vi^2 + 2a(Δx)
Δx=vt+2at^2
force of gravity
f= GmM/r^2
Friction (static and kinetic)
Fstatic< μN
Fkinetic= μN
Power
Work/time
Work
=Fdcosθ (Force x distance)
=ΔE
Kinetic, Potential Energy
KE=1/2mv^2
PE=mgh
Uniform Circular motion
F=mv^2/r
a=v^2/r
specific gravity
=ρ/ρ water
archimedes principle
F=ρ(w) V(o) g
[ρ of water; V of object]
hydrostatic pressure
=P+ρgh
Bernoulli's Equation
P +ρgh + 1/2ρV^2
Resistors in series and parallel
Series= ΣR
(I stays the same)
Parallel= (Σ1/R)^-1
(v stays the same)
Capacitors in series and parallel
Series= (Σ1/C)^-1
Parallel= ΣC
Power in a circut
P=IV
=I^2R
=V^2/R
Power AC circuts
Imax and Vmax
P= IV
=Imax/√2
= Vmax/ √2
Hooke's Law
F=-k(Δx)
Harmonics equations
(open-open; closed-closed)
(open-closed)
O-O/C-C:
f=nv/2L
λ= 2L/n
O-C:
f=nv/4L
λ= 4L/n
Intensity
Power/Area
[W/m^2)
doppler
fo = fs (V ± vo )/( V ± vs )
heat of fusion
Q = mcΔT
index of refraction
n = c/v
snell's law
n(sinθ) = n(sinθ)
Coulomb's Law
F =kqQ/r^2
force of two charges on each other
Electric field due to Q
E= kQ/r^2
Force of electric field
F=qE
Electric potential due to Q
=kQ/r
[in V, Volts] = J/C
Energy of a photon
E=hf
Mirror-Lens Equation
1/o + 1/i = 1/f
Focal length
f=R/2
magnification
m=-i/o
Magnetic force
F= qvBsinθ
PE stored in capacitor
E=1/2QV
Charge
Q=VC