Mechanics
Quick Reference

SUVAT equations, forces, and energy formulas. From kinematics to work-energy theorem.

SUVAT Equations

Equations of Motion

v = u + at
s = ut + ½at²
v² = u² + 2as
s = ½(u + v)t
s = vt - ½at²

Forces

Newton's Laws

F = ma (2nd law)
F₁₂ = -F₂₁ (3rd law)
Weight: W = mg
Friction: F ≤ μR

Momentum

p = mv
Impulse: J = FΔt = Δp
Conservation: m₁u₁ + m₂u₂ = m₁v₁ + m₂v₂

Energy

Energy Types

KE = ½mv²
PE (gravitational) = mgh
PE (elastic) = ½kx²
Work = Fd cos θ

Power

P = W/t
P = Fv
P = ΔE/Δt

Circular Motion

Formulas

a = v²/r (centripetal)
F = mv²/r (centripetal)
ω = 2πf = 2π/T
v = ωr

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