PHYSICS · RAPID REFERENCE

MDCAT Physics Formula Sheet — Equations, Units & When to Use Them

A structured physics reference organized by problem type rather than a random wall of equations. Learn the relationship, the variables, the units and the trigger that tells you when the formula belongs.

Study Tools / Informational / MDCAT Physics Formula Sheet — Equations, Units & When to Use Them
Research edition · Updated 19 September 2026 · Built for MDCAT study and reference
Research note: This page combines PM&DC curriculum context with standard scientific references. It is designed as a study aid; the current official syllabus and examination notices remain the source of truth for exam-specific requirements.
36
Physics questions in the 2026 pattern
SI
Default unit framework
∞
Ways distractors exploit units and signs
Official-context note: Formulas only work when their conditions and units are respected. A correct equation with incompatible units can still produce a wrong answer. The current PM&DC curriculum remains the syllabus boundary; this sheet is a revision aid, not a replacement for the official curriculum.

Quick Reference

Quick take

Method first

Before writing a formula, identify what is known, what is asked and which physical principle connects them.

Quick take

Units are evidence

A unit mismatch is often a clue that the wrong relationship was selected or a conversion was skipped.

Quick take

Vectors are not optional

Magnitudes alone can hide direction, sign and component relationships.

Quick take

Estimate before calculate

A rough scale check can expose a calculator error before it becomes a final answer.

1. Mechanics & Motion

RelationshipUse it when…Common trap
v = Δx / ΔtAverage velocity from displacement and time.Using total distance when the question asks displacement.
a = Δv / ΔtAverage acceleration.Forgetting velocity is directional.
v = u + atConstant acceleration.Applying it when acceleration is not constant.
s = ut + ½at²Constant acceleration and known time.Mixing displacement and distance.
v² = u² + 2asConstant acceleration when time is inconvenient.Using it with inconsistent sign conventions.
F = maNet force model.Using a single force instead of the net force.
p = mvLinear momentum.Dropping direction in collision problems.
Constant-acceleration set
v = u + at · s = ut + ½at² · v² = u² + 2as · s = ½(u+v)t
The equations describe one-dimensional constant-acceleration motion under the usual sign convention.

2. Work, Energy & Power

Core relationships
W = Fd cosθ · K = ½mv² · U_g = mgh · P = W/t
Work depends on the component of force along displacement. Mechanical energy methods are often cleaner than force-by-force algebra.

Use conservation of energy when the question compares an initial state with a final state and the energy transfers can be accounted for cleanly. Use the work–energy theorem when the net work changes kinetic energy. Keep track of whether a force does positive, negative or zero work.

3. Circular Motion & Gravitation

Key equations
v = ωr · a_c = v²/r = ω²r · F_c = mv²/r · F_g = GMm/r²

Centripetal force is not a new species of force; it is the name for the net inward force required for circular motion. Depending on the situation, tension, friction, gravity or a normal force can supply that inward net component.

4. Fluid Dynamics

IdeaRelationshipInterpretation
PressureP = F/AForce distributed over area.
Hydrostatic pressureΔP = ρgΔhPressure change with depth in a fluid of uniform density.
ContinuityA₁v₁ = A₂v₂For steady incompressible flow, smaller area means greater speed.
BernoulliP + ½ρv² + ρgh = constantEnergy balance along a streamline under idealized conditions.

5. Oscillations, Waves & Sound

Wave basics
v = fλ · T = 1/f · ω = 2πf

Separate the speed of a wave from the oscillation frequency of its source. In a given medium, changing frequency can change wavelength while the wave speed remains constrained by the medium’s properties. This distinction is a frequent source of conceptual distractors.

6. Electricity & Circuits

Core circuit relations
V = IR · P = VI = I²R = V²/R · Q = It

For series resistors, current is the same through each resistor and the resistances add. For parallel resistors, the potential difference across branches is the same while conductances add. Always identify the circuit structure before inserting numbers.

7. Electrostatics & Fields

Field relationships
F = kq₁q₂/r² · E = F/q · V = W/q

Watch vector direction. Electric field is a vector; electric potential is a scalar. The magnitude of a quantity may look identical in two options while the direction makes one physically impossible.

8. Thermal, Atomic & Nuclear Reminders

Useful reference equations
Q = mcΔT · ΔQ = mL · E = hf · E = mc²

Use the correct physical meaning: specific heat capacity relates energy to temperature change; latent heat relates energy to phase change; photon energy is proportional to frequency. For atomic and nuclear topics, keep unit prefixes under control because energy values often span many powers of ten.

Frequently Asked Questions

Do I need to memorize every formula?
You need the relationships required by your syllabus and enough conceptual understanding to recognize when they apply. Memorizing an equation without its conditions is fragile.
What should I do when two formulas both seem possible?
Write the known quantities and the target quantity first. Then identify the governing principle. Often one equation becomes a direct relationship while the other introduces unnecessary unknowns.
Why are units so important in MDCAT Physics?
They provide a built-in consistency check and expose many conversion or formula-selection errors.
Should I use a calculator for every physics question?
No. Estimation and mental algebra are part of efficient problem solving. A calculator should reduce arithmetic load, not replace physical reasoning.
Research & reference sources:
PM&DC — Uniform Curriculum MDCAT-2025 (official PDF) · PM&DC — Public Notice regarding MDCAT-2026 · NIST — Guide to the SI, Chapter 4 · OpenStax — College Physics 2e: Physical Quantities, Units, Accuracy & Significant Figures · OpenStax — College Physics: Accuracy, Precision, and Significant Figures

Scope: scientific explanations are written for student use and simplified where appropriate. Exact exam wording, syllabus scope and current administrative rules should be checked against PM&DC documents.