== UNIT 3: WORK, ENERGY, AND POWER == Work done: W = F*d*cos(θ) where θ is angle between force and displacement Only force component parallel to displacement does work Negative work: force opposes motion (friction, air resistance) Work-energy theorem: net work = change in kinetic energy Kinetic energy: KE = 0.5*m*v^2 Conservative force: work path independent (gravity, spring) Non-conservative force: work path dependent (friction) Gravitational PE: PE_g = m*g*Δh (only height change matters) Spring PE: PE_s = 0.5*k*x^2 where x is displacement from equilibrium Mechanical energy: E = KE + PE Conservation of energy: E_initial = E_final (if only conservative forces) Non-conservative work: W_nc = ΔKE + ΔPE Power: P = W/t (average) or P = F*v (instantaneous) Energy transfer via work Energy transfers between forms, never created/destroyed