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5. WORK, ENERGY AND POWER

Key concepts explored include the definitions and interrelations of work, energy, and power, emphasizing their scalar nature and the principles governing their calculations. The chapter examines work done by both constant and variable forces, along with the work-energy theorem and its implications for kinetic and potential energy. The overall theme centers on the conservation of mechanical energy and the nature of collisions.

Sections

  • 5

    Work, Energy And Power

    This section introduces the fundamental concepts of work, energy, and power, providing definitions and mathematical relationships among these physical quantities.

    Learning Practice

  • 5.1

    Introduction

    This section introduces the fundamental concepts of work, energy, and power in physics, explaining their definitions and relationships.

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  • 5.1.1

    The Scalar Product

    The scalar product, also known as the dot product, is a mathematical operation on two vectors that results in a scalar, defined as the product of the magnitudes of the vectors and the cosine of the angle between them.

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  • 5.2

    Notions Of Work And Kinetic Energy: The Work-Energy Theorem

    This section introduces the concepts of work, kinetic energy, and the work-energy theorem, explaining how they are interconnected in the realm of physics.

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  • 5.3

    Work

    This section introduces the concept of work in physics, defining it as the product of force applied over a displacement.

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  • 5.4

    Kinetic Energy

    Kinetic energy is defined as the work an object can do by virtue of its motion, which depends on its mass and velocity.

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  • 5.5

    Work Done By A Variable Force

    This section explores the concept of work done by a variable force, emphasizing how to calculate work through definite integrals.

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  • 5.6

    The Work-Energy Theorem For A Variable Force

    The work-energy theorem for a variable force explains the relationship between work and kinetic energy changes in a system where forces vary.

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  • 5.7

    The Concept Of Potential Energy

    This section discusses the concept of potential energy as stored energy due to an object's position or configuration.

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  • 5.8

    The Conservation Of Mechanical Energy

    This section explains the principle of conservation of mechanical energy, emphasizing that the total mechanical energy in a system remains constant if only conservative forces act on it.

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  • 5.9

    The Potential Energy Of A Spring

    This section explores the concept of potential energy in the context of springs, specifically describing Hooke's law and the associated energy transformations.

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  • 5.10

    Power

    Power is defined as the rate at which work is done or energy is transferred over time.

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  • 5.11

    Collisions

    This section discusses the principles of momentum and energy conservation during collisions, distinguishing between elastic and inelastic collisions.

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  • 5.11.1

    Elastic And Inelastic Collisions

    This section explores the concepts of elastic and inelastic collisions, highlighting the conservation of momentum and the transformation of kinetic energy during these events.

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  • 5.11.2

    Collisions In One Dimension

    This section covers the principles of momentum conservation and energy conservation during one-dimensional collisions, including elastic and inelastic scenarios.

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  • 5.11.3

    Collisions In Two Dimensions

    This section focuses on the principles of momentum conservation in two-dimensional collisions, including elastic and inelastic collisions.

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  • 5.12

    Summary

    This section summarizes key concepts of work, energy, and conservation laws in physics, emphasizing their relevance in understanding physical phenomena such as collisions.

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  • 5.13

    Points To Ponder

    This section encourages deeper comprehension of work, energy, and power concepts, emphasizing calculations related to forces and energies.

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  • 5.14

    Exercises

    This section provides exercises related to work, energy, and power concepts discussed in Chapter 5.

    Learning Practice

References

NCERT Study Material

Class Notes

Memorization

What we have learnt

  • Work is defined as the prod...
  • Energy exists in various fo...
  • Collisions can be elastic o...

Final Test

Revision Tests

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