Work, Energy and Power — Revision Notes
BVP CET Engineering · Physics
Free Work, Energy and Power revision notes for BVP CET Engineering Physics 2026 — key concepts, formulas, and definitions for quick revision.
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Key concepts, formulas, and definitions from Work, Energy and Power for BVP CET Engineering Physics preparation.
Key Topics to Revise
Scalar Product and Mathematical Foundations
- Scalar product of vectors A⃗ and B⃗ is A⃗·B⃗ = AB cos θ, where θ is angle between vectors
- Scalar product gives the projection of one vector onto another
- For unit vectors: î·î = ĵ·ĵ = k̂·k̂ = 1 and î·ĵ = ĵ·k̂ = k̂·î = 0
Work and Work-Energy Theorem
- Work done W = F⃗·s⃗ = Fs cos θ, where θ is angle between force and displacement
- Work is a scalar quantity and can be positive, negative, or zero
- Positive work increases kinetic energy, negative work decreases it
Kinetic Energy
- Kinetic energy KE = ½mv² for objects moving much slower than light
- Kinetic energy is always positive (never negative or zero for moving objects)
- KE depends on reference frame - same object has different KE in different frames
Work Done by Variable Force
- For variable force F(x), work done W = ∫F(x)dx from initial to final position
- Work done equals area under Force vs. displacement graph
- For small displacement Δx, work done ΔW = F(x)Δx
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