📚 Key Concepts
Work definitionWork done by constant/variable forceKinetic energyPotential energy (gravitational/elastic)Work-energy theoremConservation of mechanical energyPower calculationCollisions (elastic/inelastic)Spring potential energyEnergy transformations
🎯 Key Formulas
Work = F · d · cos θKinetic Energy = ½mv²Gravitational PE = mghElastic PE = ½kx²Power = Work/TimeWork-energy theorem: ΔKE = WConservation of energy: KE₁ + PE₁ = KE₂ + PE₂Coefficient of restitution: e = (v₂' - v₁')/(v₁ - v₂)
⚠️ Common Mistakes to Avoid
Confusing work with forceIncorrect angle calculationsSign convention errorsMisunderstanding energy conservationIgnoring friction in energy problemsIncorrect potential energy calculationsPower calculation errorsCollision energy misconceptions
📖 Knowledge Prerequisites
Vector mathematicsBasic trigonometryNewton's laws of motionMotion conceptsBasic algebraCoordinate systemsUnderstanding of force and displacement
💡 Tips for Students
Always draw diagramsIdentify energy transformationsCheck sign conventionsUnderstand energy conservation principlePractice different scenario problemsVisualize energy transfersLearn to distinguish between types of energyMaster units and dimensional analysis
👉 Practice Recommedations
NCERT solved examplesWork and energy problemsSpring and gravitational PE calculationsPower calculation scenariosCollision energy problemsConservation of energy problemsElastic and inelastic collision analysisMultiple force system problems
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