4. Work, Energy, and Power​

This chapter deals with the physical concepts of work done by a force, various forms of energy, conservation of energy, power, and collisions. These concepts are foundational for understanding both mechanics and real-world physical phenomena.


📚 Subtopics Covered:

  1. Work
  2. Kinetic Energy
  3. Work-Energy Theorem
  4. Potential Energy
  5. Conservative and Non-Conservative Forces
  6. Mechanical Energy Conservation
  7. Power
  8. Collisions

1️⃣ Work

Definition:

Work is said to be done when a force is applied on a body and the body is displaced in the direction of the applied force.

🔣 Formula:

Where:

    🔄 Types of Work:

    🎯 Unit: Joule (J)

    🧮 1 Joule = Work done when 1 N of force displaces a body by 1 m


    2️⃣ Kinetic Energy (K.E.)

    Definition:

    Kinetic Energy is the energy possessed by a body due to its motion.

    🔣 Formula:

    Where:

      🎯 Unit: Joule (J)

      📌 Note: A body at rest has zero kinetic energy.


      3️⃣ Work-Energy Theorem

      Statement:

      The net work done by all the forces acting on a body is equal to the change in its kinetic energy.

      🔣 Expression:


      4️⃣ Potential Energy (P.E.)

      Definition:

      Potential Energy is the energy possessed by a body due to its position or configuration.

      🔣 Formula (Gravitational P.E.):


        5️⃣ Conservative & Non-Conservative Forces

        🧲 Conservative Forces:

        • Work done is path independent.
        • Energy is conserved.
        • Examples: Gravitational force, Spring force

        🔥 Non-Conservative Forces:

        • Work done depends on the path.
        • Energy is not conserved (lost as heat, etc.)
        • Examples: Friction, Air resistance

        6️⃣ Conservation of Mechanical Energy

        Statement:

        The total mechanical energy (sum of kinetic and potential energy) of a system remains constant if only conservative forces are acting.

        🔣 Formula:

        📌 Example:

        A body falling freely from a height converts potential energy to kinetic energy, but total mechanical energy remains constant.


        7️⃣ Power

        Definition:

        Power is the rate of doing work or the rate of transfer of energy.

        🔣 Formula:

          🎯 Unit: Watt (W)

          1 Watt = 1 Joule/second

          💡 Other Units:

          UnitEquivalent
          Kilowatt1000 W
          Horsepower746 W

          8️⃣ Collisions

          Types of Collisions:

          TypeDescriptionMomentumKinetic Energy
          Elastic CollisionBoth momentum and kinetic energy are conserved✔️✔️
          Inelastic CollisionOnly momentum is conserved, kinetic energy is not✔️
          Perfectly InelasticBodies stick together after collision✔️

          📌 Formulae in 1D Elastic Collision:


          📊 Visual Recap

          🖼️ Image Ideas for Notes (to include):

          • Diagram of force and displacement at different angles
          • Graph showing K.E. vs speed
          • Pendulum illustrating conservation of mechanical energy
          • Block sliding on an inclined plane (friction vs no friction)
          • Power vs time bar graph
          • Momentum and K.E. comparison in collisions

          📝 Final Tips for NEET Aspirants:

          • Focus on conceptual clarity of work and energy forms.
          • Practice numericals based on work-energy theorem and power.
          • Memorize formulae, but understand their derivations and conditions of applicability.
          • Use previous year NEET questions to gauge difficulty and pattern.

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