← Back to CoursesNewtonian Mechanics: Intermediate

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Foundations of Newtonian Mechanics

Manual: General · Subject: Physics

Build the conceptual and mathematical base for analyzing motion and forces.

What Newtonian Mechanics Describes

Classical motion

Newtonian mechanics studies how objects move under the action of forces. It works extremely well for everyday speeds and sizes, where effects from relativity and quantum theory are negligible. The central ideas are position, velocity, acceleration, mass, force, and time.

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Core idea

If you can identify the forces on an object, you can often predict its motion using Newton’s laws.

Units and quantities

In the SI system, position is measured in meters, time in seconds, mass in kilograms, velocity in meters per second, acceleration in meters per second squared, and force in newtons, where 1 N=1 kg⋅m/s21\,\text{N} = 1\,\text{kg}\cdot\text{m}/\text{s}^2.

Scalars and vectors

Scalars have magnitude only, such as mass or temperature. Vectors have magnitude and direction, such as displacement, velocity, acceleration, and force. Newtonian mechanics relies heavily on vector reasoning, because direction matters in almost every real problem.

Which quantity is a vector?

State Newton’s second law in words.

Modeling motion

Idealization in mechanics

Physics models real systems by simplifying them. Common idealizations include treating objects as particles, ignoring air resistance, and assuming rigid bodies do not deform. These simplifications make problems solvable while preserving the dominant physics.

Why is a particle model often useful?

What is the difference between displacement and distance?