Lesson 2.5 • Competency 2.3Complete Lesson
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Newton’s Laws of Motion & Friction

Inertia and inertial reference frames, rate of change of momentum (F = dp/dt = ma), action-reaction pairs, connected particles, and static/dynamic friction.

Marking a lesson complete represents finishing your study of the topic; it does not denote tested mastery.

Learning Objectives

  • Formulate free-body force diagrams for single and connected masses on horizontal and inclined planes.
  • Apply laws of static and kinetic friction: F_limiting = μ_s R and F_kinetic = μ_k R.

Core Theory & Concepts

Sir Isaac Newton formulated the three foundational laws governing classical dynamics, linking applied forces to changes in momentum and establishing the universal reciprocity of physical interactions.

Newton’s Second Law (F = ma)

The net unbalanced external force equals the time rate of change of linear momentum: F_net = dp/dt = d(mv)/dt. For constant mass m: F_net = ma.

F_net = ma

Laws of Solid Friction

1. Limiting friction F_max is proportional to normal reaction: F_max = μ_s R. 2. Kinetic friction F_k = μ_k R opposes relative motion and is generally less than limiting friction (μ_k < μ_s).

F_max = μ_s R, F_k = μ_k R

Common Misconceptions

Misconception

Thinking action and reaction forces cancel each other out on the same body.

Physical Clarification:Action and reaction forces ALWAYS act on TWO DIFFERENT BODIES (Body A on Body B, and Body B on Body A). They never cancel on a single isolated body.

Syllabus Topic Outline

Competency 2.3
  • 1Newton’s First Law and inertial frames of reference
  • 2Newton’s Second Law: F = dp/dt = ma
  • 3Newton’s Third Law: action-reaction pairs between distinct bodies
  • 4Friction: static coefficient μ_s and kinetic coefficient μ_k

Practice Problems

1

A 5 kg block on a rough horizontal table has static friction coefficient μ_s = 0.4. What minimum horizontal force in Newtons is required to start motion? (g = 9.8 m s⁻²).