Physics Formula Review Spring

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Last updated 4:32 PM on 5/1/23
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137 Terms

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Equivalent capacitance for capacitors in series
Ceq =1/( 1/C₁ + 1/C₂ + ... + 1/Cₙ)
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Equivalent capacitance for capacitors in parallel
C_eq = C₁ + C₂ + ... + Cₙ
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Magnification of an image (two equations)
m = -di/do = hi/ho
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mass-energy equivalence
E=mc²
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momentum of a photon
p = h/λ, E/c, hf/c
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work function if cutoff wavelength is known
Φ=hc/λ
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Photoelectric effect including stopping potential
Ephoton=qVs+Φ
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Photoelectric Effect including Kmax
Kmax=Ephoton-Φ
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energy of a photon
E = hf, hc/λ
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EMF generated for a moving bar through a Magnetic field
EMF = Blv
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Faraday’s law of electromagnetic induction
E=-∆Φ/∆t=(-∆NBA/∆t)
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magnetic flux
Φ=NBA=NBAcosθ
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thin lens equation
1/f = 1/do + 1/di
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snell's law
n₁sinθ₁ = n₂sinθ₂
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index of refraction
n = c/v
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critical angle
sinθ=n₂/n₁
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Thin film(membrane interference
2nt=__λ
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total resistance for resistors in series
Rt= R₁ + R₂ + R₃ + ... + Rₙ
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total resistance for resistors in parallel
Rt= (R₁⁻¹ + R₂⁻¹ + R₃⁻¹ + ... + Rₙ⁻¹)⁻¹
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Charge including time
Q=It
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Resistance in a wire of length L and area A
R=ρ(L/A)
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Pressure exerted on an area A
P = F/A
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absolute pressure
Pabs=P₀+ρgh
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gauge pressure
ρgh
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Volume flow rate
I=AV
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Buoyant force
F=ρVg
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Density
ρ=m/v
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bernoulli's equation
P₁ + ½ρv₁² + ρgh₁ = P₂ + ½ρv₂² + ρgh₂
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Force on a charge q moving parallel to a magnetic field (B)
0 N
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Force on a current carrying wire oriented perpendicular to a magnetic field (B)
F=Il×B
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capacitance if area of plates is known
C = KεA/d
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Electric Potential around a point charge q
V = kq/r
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Force on a charge (q) in an Electric field (E)
F = qE
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coulomb's law
F = kq₁q₂/r², where k=1/(4πε₀)
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charge on a capacitor
Q=CV
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Energy stored in a capacitor (3 formulas)
Ucap=½QV=½CV²=½Q²/C
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Formula definition of Work
W=F∙d
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electric potential energy
Ue= qV
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Electric field a distance r from a point charge (q)
F = k|q|/r²
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Ohm’s Law
V=IR
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Total charge for capacitors in series
Qt=Q₁=Q₂=Q₃
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Terminal voltage (Vab) if external resistance (Rext) is known
Vab=I₁Rext
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Terminal voltage (Vab) if EMF is known
ε=Vab-I₁R(int)
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Voltage across the plates of a capacitor if the E-field is known
Ed=V
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Electric Energy (three formulas)
E=VIt=V²Rt=I²Rt
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Electric Power
P=VI=V²R=I²R
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Force on a charge (q) moving perpendicularly through a magnetic field (B)
F=qv×B
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Work to move a point charge (q) a distance r away from another charge (Q)
w=q∆V
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Force between two parallel current carrying wires of length l.
F=(µ₀/2π)(I₁I₂l/r) (the third one is L)
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Limits of human sight
750 nm-400nm
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the wave equation
v=fλ
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Magnetic field a distance r from a current carrying wire
B=(µ₀/2π)(I/r)
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New wavelength in the original wavelength and the indices of refraction are known
n₁λ₁=n₂λ₂
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Change in Heat during an isovolumetric process
Q = nCvΔT
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Frequency of a spring mass
f = 1/(2π) \* √(k/m)
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period of a pendulum
T = 2π√(L/g)
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frictional force
F=Fₙµ
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frictional force on an incline
mg(cosθ)µ
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Acceleration
a= ∆v/∆t
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average speed
s = d/t
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velocity
v= ∆x/∆t
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Average Velocity of a molecule of gas
v = √(3kT/m)
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Change in internal energy during a cyclic process
ΔU = 0 J
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First Law of thermodynamics
ΔU = ∆Q + ∆W
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Acceleration of a mass sliding UP an incline, with friction
a = gsinθ + gμcosθ
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Acceleration of a mass sliding DOWN an incline, with friction
a = gsinθ - gμcosθ
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Heat required to raise the temperature of a substance
Q = mcΔT
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Heat required to vaporize a substance
Q = mLv
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Heat required to melt a substance
Q = m(Lf)
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Forgotten power equation
P=Fv
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Energy of a spring-mass when spring is neither at maximum displacement, nor at the equilibrium point
½kA²=½mv²+½kx²
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ideal efficiency
ε=(T_hot - T_cold) / T_hot x100
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Newton's second law of motion
F = ma
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torque
∑τ=r×F=rFsinθ
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Ideal gas law (two equations)
PV = nRT or PV=NKT
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Boyle's law
P₁V₁ = P₂V₂
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heat of an isobaric process
Q = nCpΔT
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work (thermodynamics)
W = -PΔV
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internal energy of an ideal gas
U = (3/2) nRT
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actual efficiency
εactual=|∑W|/Qin=|Qin-Qout|/Qin
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kinetic energy
KE = ½mv²
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Hooke's Law
F = -kx
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gravitational potential energy
Ug = mgh or mg∆y
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Newton's Law of Universal Gravitation'
F = G (m₁ m₂) / r²
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centripetal acceleration
a = v²/r
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Acceleration due to gravity at the surface of a planet of mass M and diameter d
g = (G\*M) / (d/2)²
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momentum
p = mv
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impulse (two formulas)
J = Ft or J = mv-mv₀
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weight
W or Fg=mg
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first kinematic
v = v₀ + at
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second kinematic
∆x = v₀t + ½at²
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third kinematic
v²=v₀²+2a∆x
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beat frequency
f = |f1 - f2|
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Length (L) of a string producing the fundamental frequency (f)
L=v/2f
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Natural frequency of a closed tube of length l
L=v/4f
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Wavelength in an open tube of length l
λ=2L
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frequency of a pendulum
f = 1/T = 1/(2π √(l/g))
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Velocity of waves on a string if tension is known
v = √(T/(m/l))
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period of a spring-mass
T = 2π√(m/k)
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charles' law
V₁/T₁ = V₂/T₂

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