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PhysicsScalar QuantityNCTB পদার্থবিজ্ঞান অধ্যায় ৪ (কাজ, ক্ষমতা ও শক্তি)

Potential Energy

Bengali: বিভব শক্তি•Pronunciation: পটেনশিয়াল এনার্জি•Symbol: E_p \text{ বা } U
Standard Definition:
The stored energy of a body resulting from its relative position in a force field or its internal elastic deformation.

📐 Mathematical Equation, Units & Dimensions

Defining Mathematical Equation
Ep=mgh (অভিকর্ষীয়) বা 12kx2 (স্প্রিং)E_p = mgh \text{ (অভিকর্ষীয়) বা } \frac{1}{2}kx^2 \text{ (স্প্রিং)}
Standard SI Unit
J (Joule)($J$ (জুল))
Dimensional Analysis
[ML2T−2][M L^2 T^{-2}]
CGS Unit
erg

📖 Physical Concept & Comprehensive Explanation

Gravitational potential energy equals mgh when lifted through height h against gravity. Elastic potential energy stored in an ideal spring deformed by distance x equals 1/2*k*x^2. In isolated conservative systems, potential energy converts reversibly into kinetic energy.

🎯 High-Yield Revision Points

  • ✓Gravitational potential energy is commonly referenced as zero at ground level.
  • ✓Increases linearly with elevation (Ep = mgh).
  • ✓Stored elastic spring energy is Ep = 1/2 * k * x^2.

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❓ Frequently Asked Exam Questions (FAQ)

Common questions in board and competitive entrance examinations

Q1: What is potential energy?

Potential energy is stored energy resulting from position in a force field or physical deformation.

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