# Newton's Laws of Motion

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## Physical Laws

**Newton's laws of motion** are a set of three physical laws that form the basis for classical mechanics.

### First Law

- Every body remains in a state of constant velocity unless it is acted upon by an external unbalanced force.

This of course includes it being stationary, that is, with a constant velocity of zero.

### Second Law

- The total force applied on a body is equal to the derivative with respect to time of the linear momentum of the body:

- $\mathbf F = \map {\dfrac \d {\d t} } {m \bsv}$

### Third Law

- To every force there is always an equal and opposite force. That is, the forces of two bodies on each other are always equal and are directed in opposite directions.

## Source of Name

This entry was named for Isaac Newton.

## Sources

- 1937: Eric Temple Bell:
*Men of Mathematics*... (previous) ... (next): Chapter $\text{VI}$: On the Seashore - 1966: Isaac Asimov:
*Understanding Physics*... (previous) ... (next): $\text {I}$: Motion, Sound and Heat: Chapter $3$: The Laws of Motion: Inertia - 2014: Christopher Clapham and James Nicholson:
*The Concise Oxford Dictionary of Mathematics*(5th ed.) ... (previous) ... (next):**Newton's laws of motion**