Five-Bullet Flash Review for Last-Minute Revision

Moduli: Y (stretch) = FL/(A $\Delta L$ ); B (squeeze) = −V(dP/dV); G (shear) = τ/φ; all [ $M^{1}$ $L^{-1}$ $T^{-2}$ ] Pa. Stress-strain sequence: P → E → Y → U → B.
Fluid dynamics: Continuity $A_{1}$ v_{1} = $A_{2}$ v_{2}; Bernoulli P + ½ρ $v^{2}$ + ρgh = const; higher v → lower P.
Terminal velocity: v_t = 2 $r^{2}$ (ρ − σ)g/(9η); v_t ∝ $r^{2}$ (radius doubles → velocity quadruples).
Surface tension (DB-24): Liquid drop $\Delta P$ = 2S/R (1 surface); Soap bubble $\Delta P$ = 4S/R (2 surfaces); Capillary rise h = 2S cosθ/(ρgr).
Heat transfer: Conduction Q/t = KA $\Delta T$ /L; Radiation P = σ $AT^{4}$ (T in Kelvin, σ = $5.67 \times 10^{-8}$ ); Expansion β = 3α.