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Physics Formula Sheet : NCERT Class 11

NCERT Class 11 Physics Formulas - Chapters 4-6 | Complete Formula Sheet

NCERT Class 11 Physics Formula Sheet - Chapters 4-6

🎯 Premium Revision Resource: This comprehensive formula sheet covers key concepts and equations from Motion in a Plane, Laws of Motion, and Work, Energy, and Power. Ideal for board exams, JEE, and NEET preparation.

Chapter 4: Motion in a Plane

This chapter extends kinematics to two dimensions, covering vectors, projectile motion, and uniform circular motion.

📍 Vector Operations

Vector Addition (Resultant): R = A + B (Parallelogram Law or Triangle Law)
Magnitude of Vector A = |A| = √(Ax² + Ay²)
Dot Product: A · B = |A||B|cosθ
Cross Product: |A × B| = |A||B|sinθ

Where Ax, Ay are components, θ is the angle between vectors.

🚀 Projectile Motion

Horizontal Range: R = (u²sin2θ)/g
Maximum Height: H = (u²sin²θ)/(2g)
Time of Flight: T = (2usinθ)/g

Where u = initial velocity, θ = angle of projection, g = acceleration due to gravity.

⚙️ Uniform Circular Motion

Centripetal Acceleration: a = v²/r
Centripetal Force: F = mv²/r
Angular Velocity: ω = v/r

Where v = linear velocity, r = radius, m = mass.

💡 Pro Tip: For projectile motion, maximum range occurs at θ = 45° when initial height is zero.

Chapter 5: Laws of Motion

This chapter introduces Newton’s laws, friction, and dynamics of circular motion.

📜 Newton’s Laws of Motion

First Law: An object remains in its state of rest or uniform motion unless acted upon by a net external force.
Second Law: F = ma
Third Law: For every action, there is an equal and opposite reaction.

Where F = net force, m = mass, a = acceleration.

🚪 Friction

Static Friction: fs ≤ μsN
Kinetic Friction: fk = μkN

Where μs, μk = coefficients of static and kinetic friction, N = normal force.

🔄 Dynamics of Circular Motion

Centripetal Force: F = mv²/r = mω²r

Centripetal force is provided by tension, gravity, or friction in circular motion.

⚠️ Important: Always resolve forces into components when solving problems involving inclined planes or circular motion.

Chapter 6: Work, Energy, and Power

This chapter covers work done by forces, types of energy, and power calculations.

🔧 Work

Work Done: W = F·d = Fd cosθ

Where F = force, d = displacement, θ = angle between force and displacement.

⚡ Energy

Kinetic Energy: KE = ½ mv²
Potential Energy (Gravitational): PE = mgh

Where m = mass, v = velocity, g = acceleration due to gravity, h = height.

🔄 Work-Energy Theorem

W = ΔKE = KEfinal - KEinitial

💡 Conservation of Mechanical Energy

KEinitial + PEinitial = KEfinal + PEfinal

🔌 Power

Power: P = W/t
Power (Velocity Form): P = F·v = Fv cosθ

🤝 Collisions

Elastic Collision (1D): m1u1 + m2u2 = m1v1 + m2v2
Coefficient of Restitution: e = (v2 - v1)/(u1 - u2)

Where e = 1 for elastic, e = 0 for perfectly inelastic collisions.

📝 Important Notes:
  • Work is zero if force and displacement are perpendicular (θ = 90°).
  • Mechanical energy is conserved only when no non-conservative forces (e.g., friction) act.
  • Use conservation of momentum in collision problems.
💎 Pro Tip: For work-energy problems, always check if non-conservative forces are present before applying conservation of energy.
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