Physics

Newton's Laws of Motion F = ma

The three fundamental laws that form the foundation of classical mechanics, describing how objects move and interact with forces.

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First Law

The Law of Inertia

An object at rest stays at rest, and an object in motion stays in motion at a constant velocity, unless acted upon by a net external force.

What does this mean?

Objects resist changes to their state of motion. This resistance is called inertia, and it is directly proportional to the object's mass. Without a force, nothing changes.

Examples


Second Law

Force equals Mass times Acceleration

The acceleration of an object is directly proportional to the net force acting on it and inversely proportional to its mass.

F = m · a
F — force (N)
m — mass (kg)
a — acceleration (m/s²)

Examples


Third Law

Action and Reaction

For every action, there is an equal and opposite reaction. When one object exerts a force on a second object, the second object exerts an equal force back on the first, in the opposite direction.

FA→B = −FB→A
FA→B — force of A on B
FB→A — force of B on A

Examples


Calculator

Try it yourself

Fill in any two values and the missing one will be calculated instantly using F = m · a. Leave the value you want to find blank.

Enter two values above to calculate the third.

Based on Newton's Second Law: F = m · a. Mass must be positive.


Applications

Where are Newton's Laws used?

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Automotive Engineering

Car safety systems — crumple zones, airbags, and ABS brakes — are all designed around Newton's laws to manage forces during collisions.

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Space Exploration

Every orbital manoeuvre, rocket launch, and satellite trajectory is calculated using Newton's laws of motion and gravitation.

Sports Science

Athletes and coaches use force, momentum, and acceleration analysis to optimise technique in everything from sprinting to ball sports.

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Structural Engineering

Buildings and bridges must balance all forces (gravity, wind, load) so that the net force on the structure is zero — a direct application of the first law.


History

A brief timeline

~350 BCE

Aristotle — Believed objects required continuous force to stay in motion. This view dominated for nearly two thousand years.

1543

Copernicus — Published his heliocentric model, challenging the Aristotelian worldview and setting the stage for new mechanics.

1609

Galileo Galilei — Demonstrated that objects in motion tend to stay in motion, laying the groundwork for the concept of inertia.

1687

Isaac Newton — Published Philosophiæ Naturalis Principia Mathematica, presenting the three laws of motion and the law of universal gravitation.

1905

Albert Einstein — Special relativity refined Newton's laws at speeds approaching the speed of light, though Newton's laws remain accurate for everyday speeds.