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Physical Sciences
Classical Mechanics
1687
Beginner

Newton's Second Law

F=maF = ma

Force equals mass times acceleration—the fundamental law of motion.

By Isaac Newton

Physical Sciences
Newton's Second Law
1687 · Isaac Newton
Classroom Ready
95%

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Why it matters: Enabled engineering, ballistics, spaceflight, and predictive physics.

Discoverers: Isaac Newton (1687)

What does it mean?

Force equals mass times acceleration—the fundamental law of motion.

Why should I care?

Enabled engineering, ballistics, spaceflight, and predictive physics.

Equation Compass

West — History

South — Derivations

Variables & Units

SymbolNameUnitMeaning
FFForceNNet force applied
mmMasskgObject mass
aaAccelerationm/s²Rate of velocity change

Worked Example

A 10 kg object with 5 m/s² acceleration experiences F = 50 N.

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Pictures & video

Portrait of Isaac Newton by Godfrey Kneller, 1689
Isaac Newton, whose Principia (1687) set out the laws of motion.Godfrey Kneller / Wikimedia Commons · Public domain

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Equation Universe

Newton's Second Law

F=maF = ma

Real-world impact

Space systems

Orbital mechanics enables global connectivity and exploration.

Photo: Unsplash — rocket launch

Force equals mass times acceleration—the fundamental law of motion.

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