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If there’s one equation that people learn about physics — and no, not Einstein’s E = mc2 — it’s Newton’s F = ma. Despite the fact that it’s been in widespread use for some ~350 years now since Newton first put it forth in the late 17th century, it rarely makes the list of most important equations. Yet it’s the one that physics students learn more than any other at the introductory level, and it remains important as we advance: through our undergraduate educations, through graduate school, in both physics and engineering, and even when we move on to engineering, calculus, and some very intense and advanced concepts.
F = ma, despite its apparent simplicity, keeps on delivering new insights to those who study it, and has done so for centuries. Part of the reason why it’s so undervalued is because it’s so ubiquitous: After all, if you’re going to learn anything about physics, you’re going to learn about Newton, and this very equation is the key statement of Newton’s second law. In addition, it’s just three parameters — force, mass, and acceleration — related through an equals sign. While it might seem like there’s very little to it, the truth is that there’s a fantastic world of physics that opens up when you investigate the depths of F = ma. Let’s dive in.
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When describing any object that’s acted upon by an outside force, Newton’s famous F = ma is the equation that describes how its motion will evolve with time. Although it’s a seemingly simple statement and a seemingly simple equation, there’s an entire Universe to explore encoded in this seemingly straightforward relationship. (Credit: Dieterich01/Pixabay)
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