Newton's Laws of Motion

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Table of Contents

There are three ($3$) laws of motion.

First law

An object in uniform motion, or at rest, will remain in its state of uniform motion, or rest, given that no external unbalanced forces are acting.

Second law

The rate of change of momentum of a body is directly proportional to the force applied and takes place in the direction of the applied force.

Given that the object has initial velocity $u$ and final velocity $v$, the initial momentum and final momentum will be $mu$ and $mv$ respectively. Thus: $$ \begin{equation}\begin{aligned} F_{net}&\propto \frac{mv-mu}{t}\\ F_{net}&=k (\frac{mv-mu}{t})\\ F_{net}&=\frac{mv-mu}{t}\\ F_{net}&=\frac{m(v-u)}{t}\\ F_{net}&=ma\\ \end{aligned}\end{equation} $$

Third law

Every action has an equal and opposite reaction.

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