PhysicsScalar QuantityNCTB পদার্থবিজ্ঞান অধ্যায় ৪ (কাজ, ক্ষমতা ও শক্তি)
Kinetic Energy
Bengali: গতিশক্তি•Pronunciation: কাইনেটিক এনার্জি•Symbol: E_k \text{ বা } K
Standard Definition:
The energy possessed by an object due to its motion, defined as half the product of mass and the square of velocity.
📐 Mathematical Equation, Units & Dimensions
Defining Mathematical Equation
Standard SI Unit
J (Joule)($J$ (জুল))
Dimensional Analysis
CGS Unit
erg
📖 Physical Concept & Comprehensive Explanation
Kinetic energy is the work needed to accelerate a body of a given mass from rest to its stated velocity. According to the work-energy theorem, net work done equals the change in kinetic energy. Because KE scales quadratically with velocity, doubling speed quadruples kinetic energy.
🎯 High-Yield Revision Points
- ✓Formula: Ek = 1/2 * m * v^2 or p^2 / (2m).
- ✓Kinetic energy is strictly non-negative.
- ✓Doubling speed increases kinetic energy by a factor of 4.
Use Online Solver for Kinetic Energy
Compute step-by-step solutions, verify formulas, and plot interactive diagrams on biggan.me.
❓ Frequently Asked Exam Questions (FAQ)
Common questions in board and competitive entrance examinations
Q1: What is the relation between kinetic energy and momentum?
Kinetic energy Ek and momentum p are related by Ek = p^2 / (2m).