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Flashcards for Physics Exam Review
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Coulomb's Law
F = k|q1q2|/r²
Pressure
P = F/A
Center of Mass (XCM)
XCM = (m1x1 + m2x2 + m3x3 + …)/(m1 + m2 + m3 + …)
Electric Potential Energy Between Two Charges
PE Elec = kq1q2/r
Maximum Static Friction Force
Fr max = μsFN
Magnitude of Electric Field (E by Q)
E = k|Q|/r²
Force
F = ma
Force in the x-direction
Fx = Fcosθ
Force in the y-direction
Fy = Fsinθ
Friction Force
F = μFN
Gravitational Force
F = GMm/r²
Force acting parallel on an inclined plane
F|| = mgsinθ
Initial velocity in the x-direction
Vo.x = Vocosθ
Initial velocity in the y-direction
Vo.y = Vosinθ
Centripetal Force
Fc = mv²/r
Work
W = Fdcosθ
Kinetic Energy
KE = 1/2mv²
Torque
τ = rFsinθ = lF
Force of Electric Field on a Charge
Fonq = qE
Centripetal Acceleration
ac = v²/r
Gravitational Potential Energy
ΔPEgrav = -Wby gravity = mgΔh
Work-Kinetic Energy Theorem
W = ΔKE = KEf - KEi
Total Mechanical Energy
E = KE + PE
Power
P = W/t
Power (alternative formula)
P = Fvcosθ
Conservation of Total Mechanical Energy
KEi + PEi + Wby F = KEf + PEf
Momentum
p = mv
Impulse
J = Δp = Δ(mv) = FΔt
Mechanical Advantage
MA = Fresistance/Feffort
Frequency
f = 1/T
Period
T = 1/f
Wave Speed
v = λf
Elastic Potential Energy
PE elastic = 1/2kx²
Frequency of Simple Harmonic Motion of a Spring
f = 1/(2π) * √(k/m)
Period of Simple Harmonic Motion of a Spring
T = 2π * √(m/k)
Conduction
Q/Δt = -kA(ΔT/Δx)
Electric Potential Created by a Charge
V = kQ/r
Force on a Charge by a Magnetic Field
FB = |q|vBsinθ
Index of Refraction
n = c/v
Photon Energy
E = hf = hc/λ
Energy Level of a Hydrogen Atom
En = -13.6 eV/n²
Snell's Law
n1sinθ1 = n2sinθ2
Strength of Electric Field Between Parallel Plate Capacitor
V = Ed
Critical Angle for Total Internal Reflection
sincrit = n2/n1
Change in Electric Potential Energy
ΔPEElec = qV
Energy of a Photon Emitted or Absorbed Under the Bohr Model
Ephoton = hf = |ΔEatom| = 13.6 eV * (1/nfinal² - 1/ninitial²)
Mirror and Lens Equation
1/f = 1/di + 1/do
Kinetic Energy of a Photoelectron
KEmax = hf - Φ
Work Done by Electric Field
W = - ΔPEElec
Lens Power
P = 1/f
Ohm's Law
V = IR
Power (Circuits)
P = IV = I²R = V²/R
Resistance
R = ρL/A
First Law of Thermodynamics
ΔE = Q - W
Linear Thermal Expansion
ΔL = αLoΔT
Thermodynamic Work
W = PΔV
Doppler Effect
fo = fs * (V + Vo) / (V + Vs)
Energy Stored in a Capacitor
PE = 1/2QV
Magnification Equation
m = -di/do
Heisenberg Uncertainty Relation
ΔxΔp ≥ h/(2π)
AC Voltage
Vrms= Vmax/√2
AC Current
Irms= Imax/√2
Equivalent Resistance in Series
R = R1 + R2 + …
Equivalent Resistance in Parallel
1/Req = 1/R1 + 1/R2 + …
Total Capacitance in Series
1/Ceq = 1/C1 + 1/C2 + …
Total Capacitance in Parallel
Ceq = C1 + C2 + …
AC Average Power Supplied
P = IrmsVrms
AC Average Power Dissipated
P = Irms²R
Specific Gravity
sp.gr. = ρ/ρH2O
Flow Rate
f = Av
Pascal's Law
F1/A1 = F2/A2
Continuity Equation
A1V1 = A2V2
Torricelli's Result
vefflux = √(2gD)
Force of Gravity (Fluid)
Fgrav = ρVg
Capacitance
C = Q/V = κε0A/d
Hydrostatic Gauge Pressure
Pgeuge = ρfluidgD
Angular Velocity
ω = Δθ/Δt
Arc Length
s = RΔθ
Speed (Angular)
v = Rω
Angular Acceleration
α = Δω / Δt
Moment of Inertia (Point Mass)
I = mr²
Intensity Level
β= 10log(I/I0)
Beat Frequency
fheat = |f1 - f2|
Moment of Inertia (Rod with Axis at Center)
I = 1/12 mL²
Force Exerted by Spring
F=-kx
Moment of Inertia (Rod with Axis at End)
I = mL²
Frequency (Simple Harmonic Motion of Pendulum)
f = 1/(2π) * √(g/L)
Period (Simple Harmonic Motion of Pendulum)
T = 2π * √(L/g)
Standing Wave (Closed Pipe)
λ = 4L/n
Standing Wave Frequency(Closed Pipe)
f₁ = nv/4L
Standing Wave (Fixed Ends and Open Pipe)
λ = 2L/n
Standing Wave Frequency(Open Pipe)
f₁ = nv/2L
Rotational Kinetic Energy
KErot = 1/2Iω²
Magnitude of Acceleration
atan = Rα
Rolling Without Slipping
VCM = rw
Hookes Law
stress = modulus x strain
Angular Momentum
L = mvrsinθ
Moment of Inertia (Sphere)
I = 2/5 mL²
Tensile and Compression
Strain: AL/LO