MCAT Physics Equations Sheet

Gold Standard MCAT Prep's MCAT Physics Equations Sheet ('cheat sheet' notes)

Equations to Memorize
Equations to Memorize As Pairs
Equations to Know How to Use

Atomic Nucleus & Electronic Structure
Trigonometry
Units to Memorize

Gold Standard MCAT Physics Equations Sheet (List of MCAT Physics Formulas)

This MCAT Physics Equations Sheet is by no means an exhaustive review of MCAT Physics. Our sheet is only meant to highlight key equations that are most helpful for the new MCAT. For a list of topics for the new MCAT: MCAT Physics Topics List. You can also access practice questions in our Free MCAT Practice Test, or our many full-length MCAT Practice Tests.

This MCAT Physics Equations Sheet provides helpful physics MCAT equations for MCAT Physics practice. MCAT Physics equations for motion, force, work, energy, momentum, electricity, waves and more are presented below. Please keep in mind that understanding the meaning of equations and their appropriate use will always be more important than memorization. Sometimes, formulas will be provided during the MCAT but, as you will see, you are expected to already know quite a few. Doing and reviewing practice questions and practice tests will improve your understanding of what you need to know.

Do you see the symbols alpha: α mu: μ delta: Δ

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Gold Standard MCAT Physics Equations - Memorize

Translational motion	x = x_o + v_ot + 1/2at² \| (V_ƒ)² = (V_o)² + 2ax	V_ƒ = V_o + at
Frictional force	f_max = μ Ν	μ_k < μ_s always
Uniform circular motion*	F_c = ma_c = mv² /r	a_c= v² /r
Momentum, Impulse*	I = F Δt = ΔM	M = mv
Work, Power	W = F d cosθ	P = ΔW/Δt
Energy (conservation)	E_T = E_k + E_p	E = mc²
Spring Force, Work	F = -kx	W = kx² /2
Continuity (fluids)	A v = const.	ρAv = const.
Current and Resistance	I = Q/t	R = ρl/A
Resistors (series, par.)	R_eq = R₁ + R₂ . . .	1/ R_eq = 1/ R₁ + 1/ R₂
Capacitors in Ser. and Par.	1/ C_eq = 1/ C₁ + 1/ C₂ + 1/ C₃ . . .	C_eq = C₁ + C₂ . .
Sound	dB = 10 log₁₀ (I/I₀ )	beats = Δ ƒ
Kirchoff's Laws	Σi = 0 at a junction	ΣΔV = 0 in a loop
Thermodynamics	Q = mc Δ T (MCAT !)	Q = mL
Torque forces	L₁ = F₁× r₁ (CCW + ve)	L₂ = F₂ × r₂ (CW - ve)
Torque force at EQ	ΣF_x = 0 and ΣF_y = 0	ΣL = 0
Refraction	( sin θ₁ )/(sin θ₂ ) = v₁ /v₂ = n₂ /n₁ = λ₁ /λ₂	n = c/v

*Not technically in the new MCAT Physics syllabus but since these are simple concepts that have been the source of traditional MCAT questions, we do not believe that they should be discarded from your preparation.

Gold Standard MCAT Physics Equations - Memorize As Pairs

F = ma	F = qE	Similar Form
F = K_G ( m₁ m₂ / r² )	F = k ( q₁ q₂ / r² )
V = IR	P = IV	Paired Use
v_av = Δ d / Δ t	a_av = Δ v / Δ t	(avg vel, acc)
v = λ f	E = hf	(f = 1/T)
E_k = 1/2 mv²	E_p = mgh	(kin, pot E)
Ρ = F/A	Δ Ρ = ρgΔh	(pressure Ρ)
SG = ρ substance / ρ water	ρ = 1 g/cm³ = 10³ kg/m³	(Spec Grav)
ρ = mass / volume	F_b = Vρg = mg	(buoyant F)
1/ i + 1/ o = 1/ f = 2/r = Power	M = magnification = - i/o	Optics
ΔG = ΔH - TΔS	Gibbs Free Energy	ΔG° = -RTln K_eq

Gold Standard MCAT Physics Equations - Know How to Use - Do Not Memorize

Ρ + ρgh + 1/2 ρv₂ = constant	Bernouilli's Equation	Fluids in Motion
f₀ = f_s (V ± V₀ )/( V ± V_s )	Doppler Effect: when d is decreasing use + V₀ and - V_s
V = Ed for a parallel plate capacitor	d = the distance between the plates
dF = dq v(B sin α) = I dl(B sin α)	Laplace's Law	RH rule
Potential Energy ( PE ) = W = 1/2 QV	Work in Electricity	W = 1/2 CV²

Gold Standard MCAT Physics Equations - Atomic Nucleus & Electronic Structure

Alpha (α) particle = ₂He⁴ (helium nucleus);
Beta (β) particle = _-1e⁰ (an electron);
A positron = ₊₁e⁰ (same mass as an electron but opposite charge);
Gamma (γ) ray = no mass, no charge, just electromagnetic energy;
Δ m /Δ t = rate of decay where Δ m = change in mass, Δ t = change in time.
If the number of half-lifes n are known we can calculate the percentage of a pure radioactive sample left after undergoing decay since the fraction remaining = (1/2)ⁿ.
N_electrons = 2 n² , where N_electrons designates the number of electrons in shell n.
The state of each electron is determined by the four quantum numbers:
- Principal quantum number = n
  - Determines the number of shells
  - Possible values are: 1 (K), 2 (L), 3 (M), etc...
- Angular momentum quantum number = l
  - Determines the subshell
  - Possible values are: 0 (s), 1 (p), 2 (d), 3 (f), n-1, etc...
- Magnetic momentum quantum number = m_l
  - Determines the orbital
  - Possible values are: ± l , ... , 0
- Spin quantum number = m_s
  - Determines the direction of rotation of the electron
  - Possible values are: ± 1/2

Gold Standard MCAT Physics Equations - Trigonometry - The Basics

sin θ = opp/hyp

cos θ = adj/hyp

tan θ =opp/adj

θ = sin^-1 x

arcsec θ = sec^-1θ

r² = x² + y²

Angle θ may be given in radians (R) where 1 revolution = 2π^R = 360°
Estimate square root 3 as 1.7 and root 2 as 1.4
Cross-sectional area of a tube = area of a circle = πr² where π can be estimated as 3.14 and r is the radius of the circle; circumference = 2πr

Gold Standard MCAT Physics Equations - Units to Memorize

Both work and energy are measured in joules where 1 joule (J) = 1 N × 1 m . {Imperial units: the foot-pound , CGS units: the dyne-centimeter or erg }
The SI unit for power is the watt (W) which equals one joule per second (J/s) = volts × amperes.
Current is measured in amperes = coulombs/sec. The units of resistance are ohms, symbolized by Ω (omega), where 1 ohm = 1 volt/ampere.
The SI unit for pressure is the pascal (1 Pa = 1 N/m² ). Other units are: 1.00 atm = 1.01 × 10⁵ Pa = 1.01 bar = 760 mmHg = 760 torr.
The SI unit for the magnetic induction vector B is the tesla where 1 T = 1 N/(A)(m) = 10⁴ gauss.