Work, Energy & Power

Work-energy theorem, conservation of energy, collisions

Key Concepts
  • Work is done only when force has a component along displacement
  • Work–energy theorem: net work = change in kinetic energy
  • Conservative forces: work done is path-independent (gravity, spring)
  • Elastic collision: both KE and momentum conserved
  • Inelastic collision: momentum conserved, KE not conserved
Important Formulae
Work done W = Fs cosθ
Kinetic energy KE = ½mv²
Gravitational PE PE = mgh
Spring PE PE = ½kx²
Power P = W/t = Fv cosθ
Quick Tips
  • Work done by friction is always negative (opposes motion).
  • In perfectly inelastic collision, bodies stick together — maximum KE is lost.
  • 1 horsepower = 746 W.
Practice Questions

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