Physics Equations Flashcards by Santos Ramirez

Q

Heat transferred

A

q = m c ΔT

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Q

Thermal expansion

A

ΔL = α × L × ΔT

β = 3α

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Q

Volumetric expansion

A

ΔV=β×V×ΔT

β = 3α

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Q

First law of thermodynamics

A

ΔU = Q + W

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Q

Entropy

A

ΔS = Q_rev/ T

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Q

Definition of velocity:

A

v = Δx / Δt

x = displacement

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Q

Definition of acceleration

A

a = Δv / Δt

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Q

Kinematic under constant acceleration

A

v = v_o + at

Δx = v_ot + at²/2

v² = v_o² + 2aΔx

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Q

Projectile motion

A

v_y= v_yo− a_y t

Δy = v_yo t − (½)at²

v_y² = v_yo² + 2a_yΔy

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Q

The time for one revolution around the circle with velocity (Period of circular motion)

A

T = 2 π (R / v_T)

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Q

Centripetal acceleration

A

a_c= v²/r = rω²

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Q

Torque equation and units

A

t = r F sinθ

Units: N*m

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Q

Work-Kinetic Energy theorem

A

W_net = ΔKE = K_f - K_i

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Q

Work equation and units

A

W = F × d × cosθ

unit = 1 Joule

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Q

Power equation and units

A

P = ΔW / Δt

Unit = 1 watt = J/s

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Q

Buoyant force

A

F_B= m_displaced× g = ρ_fluid× V_object× g

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Q

Hydrostatic pressure

A

P = ρ × g × h

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Q

Atmospheric pressure

atm = Pa

A

1 atm = 101,000 Pa

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Q

Pascal’s law

A

F₁/A₁= F₂/A₂ = constant

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Q

Bernoulli’s equation

A

P + (1/2) ρ v²+ ρ g h = constant

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Q

Coulomb’s Law

A

F=− k q₁q₂/ r²

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Q

Electric field

A

E = F / q = kQ/r²

units = N/C

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Q

Electric potential

A

V = U/q = kQ/r

Unit: 1 volt = 1 J/C

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Q

Electric Potential Energy

A

U= kQq / r = Work

Unit = Joule

Q

Electrical Current

A

I = ΔQ / Δt

Unit: 1 Amp: C/s

Q

Resistivity

A

R = (ρ * L) / A

p = resistivity

L = length

A = cross sectional area

Unit resistance: Ohm

Unit resistivity: Ohm-meter

Q

Ohm’s law

A

V = I R

Q

Capacitance

A

C = Q / V

Unit = farad or C/V

Q

Capacitance based on parallel plate geometry

A

C= A k ϵ₀ / d

ϵ₀= 8.85 x 10^-12 F/m

Q

Potential Energy of a Capacitor

A

U = ½ C(ΔV)²

Q

Magnetic force on a moving point charge

A

F = q × v × B × sinθ

Q

Magnetic force on a current carrying wire

A

F = I × L × B × sinθ

B = Tesla = N*s / m*C

Q

Magnification

A

M = h image / h object = - d image / d object

Q

Thin lens equation

A

1/f = 1/p + 1/q

Q

Photon energy

A

E = h × f

Q

Double slit equation (applied to diffraction gratings)

A

d × sinθ = m × λ

Q

Single slit equation

A

a × sinθ = m × λ

Q

Doppler equation

A

f′ = (c+ν₀)/(c−ν_s) × f

Q

Velocity of sound

A

v = f × λ

Q

Equation to find dB from intensity and I_o

A

β = 10 log ( I / I₀)

I₀ = 10⁻¹² W/m2

Q

Doppler effect

A

f′= (ν+ν₀) / (ν−ν_s) × f

Q

Equation for frequency and wavelength in strings and open tubes

A

“ I envy (nv) your tool (2L)”

String

f = (nv) / 2L
λ = 2L / n
n = harmonic = antinodes (crests)

Open pipe

f = (nv) / 2L
λ = 2L / n
n = harmonic = nodes (center)

Q

Equation for wavelength and frequency in tubes with one open one closed end

A

λ = 4 L / n

f = n v / 4 L

n = half wavelengths

Q

Absorbed or emitted light

A

1 / λ = R (1/n_f² − 1/n_i²)

E = h ν = h (c/ λ)

Q

Alpha decay

A

_Z^AX → _Z-4^A-4X + ₂⁴α

Q

Beta-minus decay

A

_Z^AX → _Z+1^AY + _-1⁰β

Q

Beta-plus decay

A

_Z^AX→_Z−1^AY+₁⁰β

Q

Units for Pressure

A

Pascal

N/m²

m^-1kg s^-2

Q

Electric Charge

A

Coulomb (C)

units: A*s

Q

Electric Potential

A

Volt (V)

W/A

m² kg s^-3 A^-1

Q

Capacitance units

A

Farad (F)

C/V

m^-2 kg^-1 s⁴ A²

Q

Electric Resistance

A

Ohm

Volts/Amps

m² kg s^-3 A^-2

Q

Magnetic flux density

A

Tesla (T)

Wb/m²

kg s^-2 a^-1

Q

Elastic Potential Energy

A

U = ½ k x²

Joule

Q

Hooke’s Law

A

F = -k x

Unit: Newton

Q

Electric field in a capacitor

A

E = V / d

Q

Angular frequency equation

A

w = 2 pie f = 2pie /T

Q

Equation for Gibbs with Keq

A

G = -2.3RT log(Keq) R= 8.3 J/k T= x kelvins

Q

Equation for Gibbs with Keq

A

G = -2.3RT log(Keq) R= 8.3 J/k T= x kelvins