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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.

Sample Practice Questions

  1. Conservation of mechanical energy holds when:

    • All forces act
    • Only conservative forces act
    • Friction acts
    • Normal force acts
    Show answer

    Answer: Only conservative forces act

  2. Coefficient of restitution for a perfectly inelastic collision:

    • 0
    • 0.5
    • 1
    • ∞
    Show answer

    Answer: 0

  3. The SI unit of work is:

    • Watt
    • Joule
    • Newton
    • Pascal
    Show answer

    Answer: Joule

  4. Work done by a force F = 5 N over displacement 4 m at angle 60° is:

    • 5 J
    • 10 J
    • 20 J
    • 40 J
    Show answer

    Answer: 10 J

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Practice Questions

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Frequently Asked Questions

What are the key concepts in Work, Energy & Power for NEET?

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.

Which formulae are important for Work, Energy & Power in NEET?

Work done: W = Fs cosθ; Kinetic energy: KE = ½mv²; Gravitational PE: PE = mgh; Spring PE: PE = ½kx²; Power: P = W/t = Fv cosθ.

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