Physics · Class 11 · Work, Energy and Power

Work, Energy and Power for JEE

Everything you need for this topic on one page: the ideas, the formulas, the traps, and free lectures that explain it well.

Last updated: 26 October 2026

Direct answer

Work–energy methods often solve mechanics problems faster than forces.

Work–energy methods often solve mechanics problems faster than forces. This topic also covers potential energy, conservative forces, collisions and power.

Key ideas

Work, Energy and Power: what you must understand

  • Work–energy theorem: total work = change in kinetic energy
  • Conservative force: F = −dU/dx; equilibrium where dU/dx = 0
  • Momentum is conserved in all collisions; kinetic energy only in elastic ones
  • Coefficient of restitution e = separation speed / approach speed
Formula sheet

Must-know formulas for Work, Energy and Power

  • W = ∫F·ds, KE = ½mv²
  • Spring PE = ½kx²
  • Power P = F·v
  • 1D elastic collision: v₁ = ((m₁−m₂)u₁ + 2m₂u₂)/(m₁+m₂)
Print

One-page formula sheet

Printable Work, Energy and Power formula sheet: formulas, key ideas and traps on one page. Save it as a PDF for offline revision.

Avoid

Common mistakes students make

  • Ignoring work by friction or normal force on a moving incline
  • Using energy conservation when a non-conservative force does work
  • Wrong sign of work done by gravity
For the exam

How this topic is asked in JEE

Appears frequently. Vertical circle problems combine energy and Newton's second law at the top and bottom. Practise them.

Prerequisites: Laws of Motion and Friction.

NCERT map

Where Work, Energy and Power is in NCERT

Chapter names follow the current rationalised NCERT textbooks. Read these sections before solving PYQs.

ClassBookChapterSections JEE asks from
Class 11Physics Part IWork, Energy and PowerThe work-energy theorem; The concept of potential energy; The conservation of mechanical energy; Power; Collisions
JEE Advanced level

A JEE Advanced-level example on Work, Energy and Power

Question. A block of mass 2 kg is released from rest at the top of a smooth curved track of height 5 m. At the bottom, it undergoes a perfectly elastic collision with another block of mass 3 kg attached to a horizontal spring (k = 500 N/m). The horizontal surface has coefficient of friction μ = 0.2. Find the maximum compression of the spring. (g = 10 m/s²)

Show solution
  1. Use energy conservation for the 2 kg block sliding down: v₁ = √(2gh) = √(2 × 10 × 5) = 10 m/s
  2. Apply elastic collision formula for velocity of 3 kg block: v₂' = (2m₁/(m₁ + m₂)) × v₁ = (4/5) × 10 = 8 m/s
  3. At maximum compression, apply work-energy theorem: (1/2)m₂v₂'² = μm₂gx + (1/2)kx²
  4. Substitute values: (1/2)(3)(64) = (0.2)(3)(10)x + (1/2)(500)x² gives 96 = 6x + 250x²
  5. Solve quadratic 250x² + 6x − 96 = 0 using formula: x = (−6 + √96036)/500 ≈ 0.61 m

Answer: Maximum compression of spring = 0.61 m (or 61 cm)

This example was solved twice independently and both solutions agree.

Free lectures

Best free lectures for Work, Energy and Power

Full-chapter free lectures picked from YouTube search results by views, from established JEE channels (mostly in Hinglish). Use the subtopic list to jump straight to the part you need (timestamps come from each video's own chapter list). Watch one, then solve PYQs the same day.

Practise

Where to practise for free

FAQs

Frequently asked questions

Is Work, Energy and Power important for JEE Main 2027?

Appears frequently. It is part of the official 'Work, Energy and Power' unit in the JEE Main 2027 syllabus.

What are the most important formulas in Work, Energy and Power?

W = ∫F·ds, KE = ½mv²; Spring PE = ½kx²; Power P = F·v.

How should I study Work, Energy and Power for JEE?

Understand the key ideas from NCERT or one full lecture, learn the formula sheet, then solve 25–30 past JEE questions on the topic. Vertical circle problems combine energy and Newton's second law at the top and bottom. Practise them.

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