LAWS OF MOTION & WORK, POWER, ENERGY - THEORY + PYQs + MINDMAP | JEE 2026 (JAN ATTEMPT) | Gadar 2026

LAWS OF MOTION & WORK, POWER, ENERGY - THEORY + PYQs + MINDMAP | JEE 2026 (JAN ATTEMPT) | Gadar 2026 - Vedantu JEE Made Ejee

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1. Summary

This comprehensive video, aimed at JEE 2026 aspirants, provides a thorough theoretical understanding and problem-solving approach for the "Laws of Motion" and "Work, Power, Energy" topics. It covers essential concepts, delves into various types of problems with detailed explanations and their solutions, and integrates Previous Year Questions (PYQs) to enhance exam preparedness. The session also includes a mind map for a holistic view of the topics.

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2. Key Takeaways

* **Core Physics Topics:** Focuses on Newton's Laws of Motion, Work, Power, Energy, Friction, and Centripetal Force.

* **Integrated Learning:** Combines theoretical concepts with practical application through PYQs.

* **Structured Approach:** Content is organized into distinct types of problems for clarity.

* **JEE 2026 Focus:** Tailored for students preparing for the JEE 2026 January attempt.

* **Resources Provided:** Offers access to session PDFs, DPPs, study materials, and test series.

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3. Detailed Notes

#### **I. Introduction (0:00 - 7:31)**

* Welcome and introduction to the "Gadar 2026" series.

* Emphasis on building a strong foundation for JEE 2026.

* Overview of the topics to be covered: Laws of Motion and Work, Power, Energy.

#### **II. Important Topics (7:32 - 13:11)**

* Highlighting the significance of these topics in the JEE exam.

* Brief mention of the conceptual interconnectedness of Laws of Motion and Work, Power, Energy.

#### **III. Type 1: Newton’s Law of Motion + PYQs (13:12 - 55:59)**

* **Newton's First Law (Law of Inertia):**

* Definition and concept of inertia.

* Examples: Body at rest, body in motion.

* **Newton's Second Law (F = ma):**

* Definition of force, mass, and acceleration.

* Vector nature of force and acceleration.

* Units of force (Newton, dyne).

* Momentum and its relation to force ($F = \frac{dp}{dt}$).

* **Newton's Third Law (Action-Reaction):**

* Concept of action and reaction forces.

* Characteristics: Equal in magnitude, opposite in direction, act on different bodies.

* Examples: Walking, rocket propulsion.

* **Free Body Diagrams (FBD):**

* Importance of drawing FBDs for analyzing forces acting on an object.

* Steps to construct an FBD.

* **PYQs & Problem Solving:**

* Detailed solutions to various PYQs involving:

* Objects on inclined planes.

* Connected bodies (pulley systems).

* Force calculations.

* Momentum change.

#### **IV. Type 2: Motion of Bodies in Contact + PYQs (56:00 - 2:00:06)**

* **Forces between surfaces:**

* Normal force: Perpendicular force exerted by a surface.

* Tension: Force transmitted through a string or rope.

* **Systems of bodies in contact:**

* Analyzing forces when objects are pushed or pulled against each other.

* Application of Newton's Laws to each body in contact.

* **PYQs & Problem Solving:**

* Problems involving multiple blocks in contact.

* Calculating accelerations and contact forces.

* Special cases like wedged surfaces.

#### **V. Type 3: Static and Kinetic Friction + PYQs (2:00:07 - 2:31:44)**

* **Friction:**

* Definition: A force opposing relative motion or tendency of motion between surfaces.

* Types: Static friction, Kinetic friction.

* **Static Friction:**

* Variable force, opposes the tendency of motion.

* Maximum static friction: $f_{s,max} = \mu_s N$, where $\mu_s$ is the coefficient of static friction and N is the normal force.

* Limiting friction.

* **Kinetic Friction:**

* Constant force, opposes relative motion.

* Kinetic friction: $f_k = \mu_k N$, where $\mu_k$ is the coefficient of kinetic friction.

* Relationship: $\mu_k < \mu_s$.

* **PYQs & Problem Solving:**

* Determining if an object will move or remain at rest.

* Calculating forces required to overcome friction.

* Problems involving friction on inclined planes.

* Objects moving on rough surfaces.

#### **VI. Type 4: Work Energy Theorem and Energy Conservation + PYQs (2:31:45 - 3:17:37)**

* **Work (W):**

* Definition: Force applied over a distance. $W = \vec{F} \cdot \vec{d} = Fd\cos\theta$.

* Units: Joules (J), ergs.

* Work done by variable forces.

* Work-Energy Theorem: Net work done on an object equals the change in its kinetic energy. $W_{net} = \Delta KE = \frac{1}{2}mv_f^2 - \frac{1}{2}mv_i^2$.

* **Kinetic Energy (KE):**

* Definition: Energy possessed by an object due to its motion. $KE = \frac{1}{2}mv^2$.

* **Potential Energy (PE):**

* Gravitational Potential Energy: $PE_g = mgh$.

* Elastic Potential Energy: $PE_e = \frac{1}{2}kx^2$.

* **Conservation of Mechanical Energy:**

* In the absence of non-conservative forces, the total mechanical energy (KE + PE) remains constant. $E_{total} = KE + PE = constant$.

* $KE_i + PE_i = KE_f + PE_f$.

* **Power (P):**

* Definition: Rate of doing work. $P = \frac{dW}{dt}$.

* Instantaneous Power: $P = \vec{F} \cdot \vec{v}$.

* Units: Watts (W).

* **PYQs & Problem Solving:**

* Calculating work done by different forces.

* Applying the Work-Energy Theorem.

* Solving problems using the principle of Conservation of Energy.

* Calculating power in various scenarios.

#### **VII. Type 5: Centripetal Force and its Applications + PYQs (3:17:38 - 3:49:46)**

* **Circular Motion:**

* Uniform circular motion.

* Non-uniform circular motion.

* **Centripetal Force:**

* Definition: The net force required to keep an object moving in a circular path. It is always directed towards the center of the circle.

* Magnitude: $F_c = \frac{mv^2}{r} = mr\omega^2$.

* **Centripetal Acceleration:** $a_c = \frac{v^2}{r} = r\omega^2$.

* **Applications:**

* Motion of vehicles on a banked/unbanked road.

* Conical pendulum.

* Vertical circular motion (challenges in tension/normal force).

* **PYQs & Problem Solving:**

* Calculating centripetal force and acceleration.

* Determining safe speeds for vehicles on curves.

* Analyzing forces in vertical circular motion.

#### **VIII. Conclusion & Mindmap (3:49:47 - 3:56:48)**

* Recap of the covered topics.

* Presentation of a mind map summarizing the entire topic for quick revision.

* Encouragement for consistent practice and revision.

* Information on further resources (Vedantu Eklavya Test Series, Gadar Books, Telegram channel, contact numbers).

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**Additional Resources Mentioned:**

* **JEE 2026 EKLAVYA TEST SERIES:** [https://vdnt.in/short?q=H7s2m](https://vdnt.in/short?q=H7s2m)

* **Session PDF & DPP:** [https://t.me/vedantumath1/7407](https://t.me/vedantumath1/7407)

* **GADAR BOOKS:** Use Coupon Code VT10HP

* PHYSIC Gadar: [https://vdnt.in/short?q=H6QMC](https://vdnt.in/short?q=H6QMC)

* CHEMISTRY Gadar: [https://vdnt.in/short?q=H6QME](https://vdnt.in/short?q=H6QME)

* MATHS Gadar: [https://vdnt.in/short?q=H6QMD](https://vdnt.in/short?q=H6QMD)

* PCM Gadar Combo: [https://vdnt.in/short?q=H6QMF](https://vdnt.in/short?q=H6QMF)

* **Vedantu JEE Made EJEE Telegram Channel:** [https://vdnt.in/y9hP3](https://vdnt.in/y9hP3)

* **Vedantu JEE Made EJEE Instagram:** [https://vdnt.in/FwCZ2](https://vdnt.in/FwCZ2)

* **JEE WhatsApp Channel:** [https://vdnt.in/short?q=GRWQ4](https://vdnt.in/short?q=GRWQ4)

* **Vedantu V-Store:** [https://vdnt.in/F1cER](https://vdnt.in/F1cER)

* **Amazon & Flipkart Links for books:** Provided in the video description.