JEE · NEET · AIIMS · BITSAT · KVPY

⚙️ Master Work, Energy & Power
NCERT Class 11 · Chapter 5

Real PYQs from top competitive exams — filter by exam, attempt each question, track your progress and submit to see your full score report.

Work-Energy TheoremConservation of EnergyCollisionsPowerSpring Potential Energy
ΔU = Q – W
50
Real PYQs
5
Exam Bodies
15+
Years Covered
~9%
Exam Weightage
PYQs Overview
🎯
Work-Energy Theorem
W_net = ΔKE — connects force, displacement and kinetic energy.
★★★★★
93% Frequency
🌀
Conservation of Mechanical Energy
KE + PE = constant (no friction); roller coaster, pendulum.
★★★★★
90% Frequency
💥
Elastic & Inelastic Collisions
e = 1 (elastic), e = 0 (perfectly inelastic); velocity after collision.
★★★★★
88% Frequency
🔩
Spring Potential Energy
PE = ½kx²; compressed/extended spring — energy storage.
★★★★☆
80% Frequency
Power
P = W/t = F·v; average and instantaneous power.
★★★★☆
72% Frequency
📐
Variable Force Work
W = ∫F·dx — area under F–x graph.
★★★☆☆
60% Frequency
Topic Frequency
Work-Energy Theorem 93%
Energy Conservation 90%
Collisions (e) 88%
Spring Energy 80%
Power Calculations 72%
Variable Force Work 60%
Potential Energy Curves 52%
💡 Did You Know?
  • Collision numericals in every JEE paper since 2002
  • Spring PE — asked yearly in NEET
  • Work-energy theorem — zero skips in BITSAT
  • COR (e) definition — asked 9× in JEE
  • Chapter 6 = bridge to Chapter 7 (rotation)
Key Takeaways
🔑
Work-Energy Theorem: W_net = ΔKE
Even when multiple forces act, net work = change in KE.
Elastic collision: KE and momentum both conserved
Inelastic: only momentum conserved. COR e = relative speed after/before.
📐
Spring PE = ½kx²; KE = ½mv²
At natural length: all KE. At max compression/extension: all PE.
🌊
Conservative force: work is path-independent
Friction is non-conservative; spring and gravity are conservative.
🧮
Power = F·v (instantaneous)
For constant force: P = F × v where v is instantaneous velocity.
🎯
In elastic head-on collision, identical masses
Velocities are exchanged. Ball 1 stops, ball 2 moves with ball 1's speed.
Study Strategy
1
Work & Energy DefinitionsDay 1–2
Work by constant and variable force; KE and PE definitions.
2
Work-Energy TheoremDay 3
Apply to 20 problems with friction, inclines, springs.
3
Conservation of EnergyDay 4
Roller coaster, pendulum, spring-block — 20 problems.
4
CollisionsDay 5
1D elastic, inelastic, COR — 25 problems. Know all formulae.
5
PowerDay 6
Average, instantaneous, P = Fv — 15 problems.
6
Attempt All PYQsDay 7
Collision and work-energy theorem are top priorities.
7
Mock TestDay 8
30-Q timed. Energy conservation + collisions = ~50% of marks.
🗓️ 8-Day Chapter Plan
Day 1–2 Work & Energy Definitions
Day 3 Work-Energy Theorem
Day 4 Conservation of Energy
Day 5 Collisions
Day 6 Power
Day 7 Attempt All PYQs
Day 8 Mock Test
🧠 Pro Tip: In collision problems, always check: is it elastic (use both KE and momentum) or inelastic (use only momentum)?
🚀

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