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Work, Energy, and Power – Class 11 Physics NCERT | Formulas, Derivations & Examples

⚡ Work, Energy, and Power – Class 11 Physics (NCERT) This chapter from Class 11 Physics NCERT explains the basic concepts of Work , different forms of Energy , and the concept of Power . These are foundational ideas used in all branches of physics. 🧱 What is Work? Work is said to be done when a force is applied on a body and there is displacement in the direction of the force. Work (W) = F × d × cosθ F = Force d = Displacement θ = Angle between force and displacement ✅ Types of Work Positive Work → θ < 90° Negative Work → θ > 90° Zero Work → θ = 90° (e.g., circular motion) SI Unit: Joule (J) 🔋 What is Energy? Energy is the capacity to do work. It exists in various forms: mechanical, thermal, chemical, electrical, etc. 🔹 Kinetic Energy (K.E.) Energy possessed by a body due to motion. K.E. = ½mv² 🔹 Potential Energy (P.E.) Energy possessed due to position or configuration. P.E. = mgh Total Mecha...

Laws of Motion – Class 11 Physics NCERT | Newton’s Three Laws, Formulas & Derivations

🧲 Laws of Motion – Class 11 Physics (NCERT) The Laws of Motion were given by Sir Isaac Newton and are fundamental to understanding force, motion, and mechanics in physics. This chapter from Class 11 NCERT explains how forces affect the motion of objects. 📘 Newton's First Law of Motion (Law of Inertia) Statement: A body remains at rest or in uniform motion in a straight line unless acted upon by an external force. 🔹 This law defines inertia – the natural tendency of objects to resist change in their motion. Inertia depends on mass. More mass → more inertia. 📌 Real-Life Example: You fall forward when a bus suddenly stops. 📘 Newton's Second Law of Motion Statement: The rate of change of momentum of an object is directly proportional to the applied force and takes place in the direction of the force. ✅ Derivation: Momentum, p = mv Rate of change of momentum = d(mv)/dt = m dv/dt = ma (if mass is constant) F = ma 📌 This is t...

Motion in a Plane – Class 11 Physics NCERT | Projectile Motion, Vectors, Derivations & Formulas

🌍 Motion in a Plane – Class 11 Physics (NCERT) Motion in a Plane deals with movement in two dimensions, using the concepts of vectors and projectile motion . This is the second part of kinematics after motion in a straight line. 📘 Key Concepts Scalars: Quantities with magnitude only (e.g., speed, mass) Vectors: Quantities with both magnitude and direction (e.g., velocity, displacement) Vector Addition: Using triangle or parallelogram law Resolution of Vectors: Splitting a vector into components along x and y axes 🧮 Basic Vector Formulas Resultant of two vectors: R = √(A² + B² + 2ABcosθ) Component form: A = A x î + A y ĵ Magnitude: |A| = √(A x ² + A y ²) Direction: θ = tan⁻¹(A y /A x ) 🎯 Projectile Motion When an object is thrown at an angle, it follows a curved path called a projectile . It is a 2D motion with horizontal and vertical...

Motion in a Straight Line – Class 11 Physics NCERT | Equations, Derivations & Graphs

📘 Motion in a Straight Line – Class 11 Physics (NCERT) This topic explains motion along a straight line (also called one-dimensional motion) as per Class 11 NCERT Physics syllabus. It covers the essential concepts, formulas, and derivations required for CBSE and NEET preparation. 🔍 Key Concepts Displacement (s): Change in position with direction Velocity (v): Speed with direction (vector) Speed: Distance traveled per unit time (scalar) Acceleration (a): Rate of change of velocity Time (t): Total duration of motion 🧾 Equations of Motion (Under Constant Acceleration) The following three equations apply when acceleration is uniform: 1️⃣ First Equation v = u + at 2️⃣ Second Equation s = ut + ½at² 3️⃣ Third Equation v² = u² + 2as 📐 Derivations From definitions: Acceleration: a = (v - u)/t → v = u + at Displacement using average velocity: Average velocity = (u + v)/2 s = [(u + v)/2] × t → ...