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A.P. Physics Equations

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v=v₀+at
Kinematics: final velocity (v)
x=v₀t+½at²
Kinematics: displacement (x)
v²=v₀²+2ax
Kinematics: velocity² (v²)
Range=v₀²sin2θ/g
Kinematics: Range equation-must start and end at same height
F=ma
Dynamics: Newton's 2nd Law (F)
W=mg
Dynamics: Weight (W)
F=µFn
Dynamics: Frictional Force (F)
F=k∆x
Dynamics: Hooke's Law/Spring Force (F)
W=Fdcosθ
Work and Energy: Work (W)
KE=½mv²
Work and Energy: Kinetic Energy (KE)
PE=mgh
Work and Energy: Potential Energy (PE)
PE=½kx²
Work and Energy: Potential Energy Spring (PE)
W=∆KE
Work-Energy Theorum (W)
Power=W/t
Work and Energy: Power
p=mv
Work and Energy: Momentum (p)
∆p=F∆t
Work and Energy: Impulse (∆p)
a=v²/r
Circular motion: centripital acceleration (a)
T=1/f
Circular motion: Period (relating to frequency) (T)
v=2πr/t
Circular motion: velocity (v)
F=mv²/r
Circular motion: centripital force (F)
tanθ=v²/rg
Circular motion: relationship for banked curve
F=Gm₁m₂/r²
Circular motion: law of universal gravitation (F)
v=√A√k/m
Circular motion: maximum velocity spring (v)
v=±vmax√1−x²/A²
Circular motion: velocity at any position spring (v)
T=2π√m/k
Circular motion: Period spring (T)
x=Acos(2πft)
Circular motion: position spring (x)
F=−mgx/L
Circular motion: force pendulum (F)
T=2π√L/g
Circular motion: Period of pendulum when θ<15° (T)
T=rF
Circular motion: Torque (T)
PV=nRT
Thermodynamics: Ideal Gas Law
KE=3/2RT
Thermodynamics: Kinetic Energy for one mole of gas (KE)
∆u=Q+W
Thermodynamics: change in internal energy (∆u)
u=3/2nRT
Thermodynamics: internal energy (u)
W=−P∆V
Thermodynamics: Work for Isobaric process (W)
W=−Q
Thermodynamics: Work for Isothermal process (W)
W=0
Thermodynamics: Work for Isovolumetric process (W)
W=∆u
Thermodynamics: Work for Adiabatic Process (W)
e=Qh−Qc/Qh
Thermodynamics: Efficiency (e)
Q=mC∆T
Thermodynamics: heat transfer (Q)
H=kA∆T/L
Thermodynamics: Rate of heat transfer (H)
∆L=αL₀∆T
Thermodynamics: Thermal expansion in liquids and solids (∆L)
∆V=βV₀∆T
Thermodynamics: Volume Expansion (∆V)
c=λf
Atomic and Nuclear: relationship b/w wavelenght and frequency
E=hf
Atomic and Nuclear: Planck's equation, relationship between energy and frequency (E)
W₀=hf−KEmax
Atomic and nuclear: Work function (W₀)
p=h/λ
Atomic and nuclear: momentum of light (p)
λ=h/mv
Atomic and nuclear: deBroglie wavelength (λ)
P=F/A
Fluid mechanics: Pressure (P)
P=ρgh
Fluid mechanics: Hydrostatic pressure (P)
F=ρVg
Fluid mechanics: Buoyant force (F)
f=Av
Fluid mechanics: flow rate (f)
A₁v₁=A₂v₂
Fluid mechanics: Continuity equation flow rate
ρ+ρgy+½ρv²
Fluid mechanics: Bernoulli's equation (constant)
v=√2gh
Fluid mechanics: rate that liquid flows out of hole (v)
n₁sinθ₁=n₂sinθ₂
Waves and optics: Snell's law refraction
n=c/v
Waves and optics: index of refraction (n)
1/d₀+1/d₁=1/f
waves and optics: thin lens equation
m=h₁/h₀=−d₁/d₀
waves and optics: magnification
f=½r
waves and optics: focal length for concave mirror (f)
dsinθ=mλ
waves and optics: constructive interference
dsinθ=(m+½)λ
waves and optics: deconsrtuctive interference
x=mλL/d
waves and optics: distance on screen in double-slit experiment (x)
N=1/d
waves and optics: diffraction grating (N)
2nt=(m+½)λ
waves and optics: Thin films constructive 1 phase reversal or deconstructive 0 or 2 phase reversal
2nt=mλ
waves and optics: thin films constructive 0 or 2 phase reversal or deconstuctive 1 phase reversal
v=331+.6T
waves and optics: speed of sound (v)
f=nv/2L
waves and optics: string instrument frequency (f) n=1,2,3...
v=√F/m/L
waves and optics: string instrument velocity (v)
f=nv/2L
waves and optics: wind instrument open tube frequency (f) n=1,2,3...
f=nv/4L
waves and optics: wind instrument closed tube frequency (f) n=1,3,5...
F=kq₁q₂/r²
electricity: electric force (F)
E=kq/r²
electricity: electric field (E)
∆PE=−qEd
electricity: change in potential energy for UNIFORM electric field (∆PE)
∆V=∆PE/q
electricity: electric potential difference (∆V)
∆V=−Ed
electricity: electric potential difference for UNIFORM electric field (∆V)
V=kq/r
electricity: electric potential for POINT CHARGE (V)
Q=CV
electricity: charge stored in capacitor (Q)
C=ε₀A/d
electricity: capitance (C)
∆PE=½QV
electricity: change in potential energy in capacitor (∆PE)
V=IR
electricity: Ohm's law (V)
R=ρL/A
electricity: resistance of material (R)
P=IV
electricity: Power (P)
R=∑R₁
electicity: resistance in series (R)
1/R=∑1/R₁
electricity: resistance in parallel (R)
I=∑I₁
electricity: current in parallel (I)
V=ε−IR
electricity: terminal voltage (V)
C=∑C₁
electricity: capacitors in parallel (C)
1/C=∑1/C₁
electricity: capactitors in series (C)
F=qvBsinθ
magnetism: magnetic force (F)
v=E/B
magnetism: velocity for particle in straight line in electric and magnetic field (v)
B=µ₀I/2πr
magnetism: magnetic field (B)
F=IlBsinθ
magnetism: magnetic force due to current (F)
F=µ₀I₁I₂l₂/2πr
magnetism: force on one wire due to another (F)
∅=BAcosθ
magnetism: magnetic flux (∅)
ε=−N∆∅/∆t
magnetism: emf (ε) *with flux in equation
ε=Blv
magnetism: emf (ε)