> [!summary] Newton's laws are descriptions of forces best described in a perfect vacuum and in inertial frames of reference. >[!info]+ Read Time **⏱ 1 min** # Definition Newton's laws are a set of experimentally proven results that describe classical forces. Newton's first law is "an object will continue in their motion unless a force acts on it." Which is true because in an [[Frames of References|inertial frame of reference]], if an object is moving at some velocity in a vacuum space, it will continue with the velocity unless acted on by a force. Newton's second law is "The amount of force on an object can be described as $F=ma$." This is a mathematical statement to describe the force an object has in relation to its mass and acceleration. > [!note] Derivation of Newton's Second Law through [[Linear Momentum|linear momentum]] > $\begin{array}{c} p = mv \\ \frac{dp}{dt} = m \frac{dv}{dt} \\ \underbrace{\frac{dp}{dt}}_{F} = ma \\ \\ F=ma \end{array} > $ Newtons third law is "If two objects interact they will exert the same amount of force on each other. " This is a statement that forces come in pairs that are exact opposite of one another ($F_{12} = -F_{21}$). # Resources <iframe width="560" height="315" src="https://www.youtube.com/embed/oduZsA0Tk58?si=cADVzoZ5IqlJpVob" title="YouTube video player" frameborder="0" allow="accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture; web-share" referrerpolicy="strict-origin-when-cross-origin" allowfullscreen></iframe> --- > ✍️ This project’s been a labour of love. > If it helped, [give Math & Matter a star](https://github.com/rajeevphysics/Obsidian-MathMatter) and let me know what you'd like to see next. ---