MCAT Physics Equations Sheet

MCAT Physics Equations Sheet

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

This MCAT Physics Equations Sheet provides helpful physics equations for exam preparation. Physics equations on 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 exam 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.

If you don't see the Greek symbols - alpha: α;   mu: μ;  delta: Δ; - then the equations on this page will not make sense; thus, adjust fonts on your browser to Unicode.

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MCAT Physics equations to memorize

MCAT Physics throws a lot of equations your way, but don't worry, you don't have to remember them all! This guide focuses on the essential formulas you'll need to commit to memory, from the core concepts of motion (think: translating objects from point A to B) all the way to how light bends with refraction. By mastering these key equations, you'll have a solid foundation for tackling MCAT physics problems and feeling confident on test day.

Translational motion x = xo + vot + 1/2at2       |       (Vƒ)2 = (Vo)2 + 2ax Vƒ = Vo + at
Frictional force fmax = μ Ν μk < μs always
Uniform circular motion* Fc = mac = mv2 /r ac= v2 /r
Momentum, Impulse* I = F Δt = ΔM M = mv
Work, Power W = F d cosθ P = ΔW/Δt
Energy (conservation) ET = Ek + Ep 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.) Req = R1 + R2 . . . 1/ Req = 1/ R1 + 1/ R2
Capacitors in Ser. and Par. 1/ Ceq = 1/ C1 + 1/ C2 + 1/ C3 . . . Ceq = 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 ΣFx = 0 and ΣFy = 0 ΣL = 0
Refraction ( sin θ1 )/(sin θ2 ) = v1 /v2 = n2 /n1 = λ12 n = c/v

Physics equations (formulas) to memorize as pairs

MCAT Physics loves to test your understanding through equations, but memorizing everything can be overwhelming. By mastering these essential equation pairs, you'll unlock a powerful problem-solving approach that will conquer the MCAT physics section.

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

Note: Specific gravity (SG) is equivalent to the fraction of the height of a buoyant object below the surface of the fluid.

Mastering Physics concepts is crucial for MCAT success.

Atomic nucleus & electronic structure

MCAT Physics loves to test your understanding of the atom's inner workings! This guide will crack open the atomic nucleus and unravel the mysteries of 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.
  • Nelectrons = 2 n2 , where Nelectrons 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 = ml
      • Determines the orbital
      • Possible values are: ± l , ... , 0
    • Spin quantum number = ms
      • Determines the direction of rotation of the electron
      • Possible values are: ± 1/2

MCAT Physics equations - the basics of Trigonometry

Trigonometry basics, sin = opp/hyp, cos  = adj/hyp and tan =opp/adj
sin θ = opp/hyp
cos θ = adj/hyp
tan θ =opp/adj
  • Angle θ may be given in radians (R) where 1 revolution = 2πR = 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

MCAT Physics 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.

Frequently Asked Questions on MCAT Physics

How do you remember MCAT physics formulas?

The best way to remember MCAT Physics formulas is by: 1) understanding the idea(s) behind the equation; 2) application: doing and reviewing practice questions and practice tests that require classic MCAT physics formulas, which of course, will improve your understanding of what you need to know; 3) in rare instances, using mnemonics or other memory devices (e.g. heat energy Q = mcΔT = MCAT !).

How hard is MCAT Physics?

Yes, MCAT physics is hard, but with adequate content review and consistent practice, it is quite manageable. This exam tests your knowledge on common physics concepts taught in undergraduate school, so its questions should not be any harder than the questions you faced in your college physics classes. What students tend to find most challenging about this exam’s physics content is the dimensional analysis, unit conversion, and mental math required to answer questions quickly. This is where content review and practice questions become most beneficial. The more you review the formulas and units, the less hard this section will feel.

Is the MCAT Physics 1 or 2?

Physics topics on the MCAT usually cover content from the first semester of college physics, or Physics 1, and the second semester of college physics, or Physics 2. For curriculums in which Physics 2 covers more theoretical applications, this exam will focus primarily on topics covered in Physics 1. Students who have only taken an Introduction to Physics course will most likely need to take the next-level physics course offered at their school to learn all the physics concepts tested on the exam. Regardless of the courses you have taken, make sure to review the AAMC’s exam topic outline.