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Laws of Motion Class 11 Notes

Newton's laws, friction, circular motion, free body diagrams, and applications in real-world problems.

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Laws of Motion — Detailed Notes

Laws of Motion is an important chapter in Physics and is frequently tested in both conceptual and application-based questions. Students should first understand the core definition, then connect the topic with real-life observations and exam patterns.

Newton's laws of motion describe the relationship between forces acting on a body and its motion — forming the foundation of classical mechanics. In school and entrance exams, questions usually check your conceptual clarity, step-wise logic, and ability to avoid common mistakes.

To prepare effectively, break Laws of Motion into smaller sub-parts: definition, laws/rules, examples, formulas, and revision questions. After theory, solve short questions, then move to mixed-level numericals or application prompts.

A smart revision strategy is to maintain a one-page summary for Laws of Motion. Include important terms, two solved examples, and last-minute checkpoints before exams.

Key Exam Points

  • 1st Law (Inertia): a body at rest/uniform motion continues unless acted on by net external force.
  • 2nd Law: F = ma (net force = mass × acceleration); vector equation.
  • 3rd Law: every action has an equal and opposite reaction (forces act on different bodies).
  • Friction: f = μN (μ_s > μ_k); friction is a contact force opposing relative motion.
  • Free body diagram: isolate one body, mark all forces — weight, normal, tension, friction.
  • For connected bodies (Atwood): acceleration a = (m₁-m₂)g/(m₁+m₂); T = 2m₁m₂g/(m₁+m₂).

Important Formula / Rule

F = ma | f = μN | For incline: a = g(sinθ - μcosθ) | Atwood: a = (m₁-m₂)g/(m₁+m₂)

What You Will Learn in Laws of Motion

Newton's laws of motion describe the relationship between forces acting on a body and its motion — forming the foundation of classical mechanics.

  • 1st Law (Inertia): a body at rest/uniform motion continues unless acted on by net external force.
  • 2nd Law: F = ma (net force = mass × acceleration); vector equation.
  • 3rd Law: every action has an equal and opposite reaction (forces act on different bodies).
  • Friction: f = μN (μ_s > μ_k); friction is a contact force opposing relative motion.
  • Free body diagram: isolate one body, mark all forces — weight, normal, tension, friction.
  • For connected bodies (Atwood): acceleration a = (m₁-m₂)g/(m₁+m₂); T = 2m₁m₂g/(m₁+m₂).

Key Formulas

F = maf = μNFor incline: a = g(sinθ - μcosθ)Atwood: a = (m₁-m₂)g/(m₁+m₂)

Example

A 5 kg block on a floor with μ=0.3 requires F=μmg=0.3×5×10=15 N to start moving.

Solved Numerical Example

Two masses m₁=3 kg, m₂=2 kg connected by string over frictionless pulley.
a = (3-2)×10/(3+2) = 2 m/s². T = 2×3×2×10/(3+2) = 24 N.

Expected Exam Questions — Laws of Motion

Q1.A 2 kg block rests on a surface with μs=0.4 and μk=0.3. Find minimum force to start motion and force to maintain uniform motion. (g=10 m/s²)
Answer: N = mg = 20 N. To start: F ≥ μs×N = 0.4×20 = 8 N. To maintain: F = μk×N = 0.3×20 = 6 N.
Q2.Why does a gun recoil when fired? Which law explains this?
Answer: Newton's 3rd law: when bullet is fired with force F forward, gun receives equal and opposite reaction force backward (recoil). Momentum conservation: m_bullet × v_bullet = m_gun × v_recoil (initial momentum = 0).

🔘 MCQ Practice — Laws of Motion

MCQ 1.A body of mass 5 kg is acted upon by force F = 20N. The acceleration is:
A. 4 m/s²
B. 100 m/s²
C. 0.25 m/s²
D. 2.5 m/s²

✓ Correct Answer: 4 m/s²

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Frequently Asked Questions — Laws of Motion

What is Laws of Motion in Physics?
Newton's laws of motion describe the relationship between forces acting on a body and its motion — forming the foundation of classical mechanics.
A 2 kg block rests on a surface with μs=0.4 and μk=0.3. Find minimum force to start motion and force to maintain uniform motion. (g=10 m/s²)
N = mg = 20 N. To start: F ≥ μs×N = 0.4×20 = 8 N. To maintain: F = μk×N = 0.3×20 = 6 N.
Why does a gun recoil when fired? Which law explains this?
Newton's 3rd law: when bullet is fired with force F forward, gun receives equal and opposite reaction force backward (recoil). Momentum conservation: m_bullet × v_bullet = m_gun × v_recoil (initial momentum = 0).
How do I prepare Laws of Motion for exams?
To master Laws of Motion, start by reading the theory carefully, then go through solved examples step by step. Practice numericals (if applicable), revise key formulas, and attempt previous year questions. SII notes cover all these aspects in a structured manner.
Are these Laws of Motion notes free?
Yes! SII provides free access to Laws of Motion notes and introductory study materials. Enrolled students get full access to detailed notes, solved papers, and live doubt-clearing sessions.
Which exams ask questions from Laws of Motion?
Laws of Motion is an important topic tested in Class 11, Class 12 board exams, as well as JEE Main, JEE Advanced, NEET. It frequently appears in both short-answer and long-answer sections.