Simplifying Mathematics: Introducing Vectors and Vector Addition

Mathematics, Physics
[caption id="attachment_23153" align="alignright" width="480"] Magnetic vector force field[/caption] We all know how to add, subtract, multiply and divide ordinary numbers, even if basic units are attached to them such as gallons, apples, feet, tons, and so forth. 4+3 = 7 5 lbs x 3.2 = 16 lbs These two examples illustrate pure numbers in the first instance, and simple quantities in the second instance. Introducing Vectors: What About Direction? What if we toss in direction? Imagine a huge square, 5 miles on a side. We have to travel along the perimeter to travel from Point A to Point B, and then on to our destination, Point C (see the image). We thus travel 10 miles to reach Point C. If we could travel "as the crow flies", we would only…
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Is Our Concept of Matter Merely an Incorrect Perception?

philosophy, Physics
Picture a large polished stainless steel bearing. Now visualize dropping it onto a concrete floor from a height of, say, h. It impacts the concrete and bounces back to a somewhat lesser height h′. What actually was the physics at the time of collision? Our concept of matter provides one answer. Our Concept of Matter The rock-solid steel bearing is not thrown, but “dropped”. It falls with a force equal to its mass times its acceleration due to gravity. That is, F = mg. Upon striking the concrete floor, the bearing experiences an equal yet opposite reaction forcing it to bounce back. Even so, due to internal and external factors, the bearing does not attain its original elevation. Is the Bearing Truly Solid? If the bearing were of solid and…
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Why Balloons Blow Up Round

[caption id="attachment_13619" align="alignright" width="440"] Balloons.[/caption] When you blow up latex balloons and build up some pressure in them, unless they are especially made to become some other shape, they tends toward roundness—they assume a spherical shape. Balloons blow up round! Why does it do that? Let’s look at the simple math and physics of the thing. Stretching Requires Force Take an ordinary piece of burst balloon and pull on it with your fingers. It takes a definite force to accomplish that, doesn’t it? And the task becomes more difficult the more you stretch it. We call the exertion “force.” It takes force to stretch the rubber. Since the required force becomes greater the more you stretch the skin of balloons, it is clear the more air you blow into them,…
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