First Law of Motion - The Law of Inertia

Newton's First Law of Motion, also known as the Law of Inertia, states that an object will remain at rest or in uniform motion in a straight line unless acted upon by an external force.

Mathematical Expression

When no force acts on an object:

F=0dvdt=0\sum F = 0 \Rightarrow \frac{dv}{dt} = 0

where:

  • ΣF is the net force
  • v is velocity
  • t is time

Key Concepts

  • Objects resist changes in their state of motion
  • Inertia is proportional to mass
  • In the absence of forces, motion continues indefinitely
  • Both rest and uniform motion are natural states

Examples in Daily Life

  • A book staying at rest on a table
  • Passengers moving forward when a bus stops suddenly
  • Objects floating in space continuing their motion
  • A soccer ball rolling until friction stops it