šŸŒ€

Lecture 3

Sep 12, 2025

Overview

This lecture introduced the concept of force, explored different types of forces, clarified common misconceptions, and covered the basics of Newton's three laws of motion with examples and calculations.

What is a Force?

  • A force is a push or pull that causes objects to accelerate or change motion.
  • Forces can be obvious (pushing a door) or invisible (gravity, friction).
  • Force is a vector, meaning it has both magnitude (size) and direction.

Types of Forces

  • Applied force: direct push or pull on an object.
  • Gravity: pulls objects toward Earth's center.
  • Normal force: support force from a surface, perpendicular to it.
  • Spring force: force from a compressed or stretched spring trying to return to original shape.
  • Resistive forces: oppose motion, e.g., friction or air resistance.
  • Tension: pulling force along ropes or cables.

Forces and Motion

  • Net force is the total force acting on an object, considering direction.
  • Balanced forces result in no change in motion (no acceleration).
  • Unbalanced forces cause acceleration (change in speed or direction).

Falling Objects

  • All objects fall at the same rate (about 10 m/s²) if air resistance is ignored.
  • Air resistance slows lighter or less aerodynamic objects (like a feather or paper).
  • On the moon, without air, all objects fall at the same rate regardless of mass.

Gravity and the Normal Force

  • Gravity pulls objects down; the normal force pushes up from surfaces.
  • When these forces are balanced, objects do not accelerate.
  • Normal force always acts perpendicular to the surface.

Common Misconceptions

  • Motion does not require a continuous force; objects move at constant speed unless acted on by an external force.
  • Heavy objects do not fall faster than light ones in the absence of air resistance.
  • Not all forces cause motion; balanced forces can cancel each other out.

Newton's First Law (Law of Inertia)

  • Objects remain at rest or in uniform motion unless acted on by an unbalanced force.
  • Inertia is resistance to change in motion.
  • Demonstrated by objects staying still or moving at constant speed until a force acts.

Newton's Second Law

  • Force causes acceleration; bigger force means more acceleration, more mass means less acceleration.
  • Formula: F = m Ɨ a (Force = mass Ɨ acceleration).
  • Force measured in newtons (N); mass in kilograms (kg); acceleration in meters per second squared (m/s²).
  • Example: A 5 kg ball kicked with 30 N accelerates at 6 m/s².
  • Example: 1,500 kg car accelerating at 4 m/s² requires 6,000 N force.

Newton's Third Law

  • For every action, there is an equal and opposite reaction.
  • When two objects interact, the forces they exert on each other are equal in size and opposite in direction.
  • Examples: walking (ground pushes you forward), pushing on a wall, skateboarding, or ice skating.

Key Terms & Definitions

  • Force — A push or pull that can cause a change in motion.
  • Vector — Quantity with both magnitude and direction.
  • Net force — The total force acting on an object, considering direction.
  • Normal force — The perpendicular support force from a surface.
  • Inertia — Resistance to changes in motion.
  • Newton — SI unit of force (N).
  • Friction — Resistive force that opposes motion between surfaces.

Action Items / Next Steps

  • Answer homework questions:
    1. Define force, normal force, net force, and explain if friction is a force (add images as needed).
    2. Write Newton's three laws with examples or drawings.
    3. Explain why you feel pushed back when a car accelerates and identify the relevant law.
    4. Compare accelerations of two carts of different masses pushed with the same force.
  • Review course videos on Newton's laws in space.