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- Similarly, in modern physics, the geometric objects associated with elementary particles are perfect, smooth shapes, existing outside our space yet connected to it. We cannot see these shapes directly, but we see their effects.
www.scientificamerican.com/article/a-geometric-theory-of-everything/
Shape is not a pattern that the observer visualizes, but an intrinsic property of an object irrespective of any observers. Shape is not what we see. We can only see objects, not concepts like shape. Shape is what we conceptualize in a relation! But more importantly, shape is what an object has before light even reaches our eyes from the object.
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SymbolQuantitySymbolr, rposition, separation, radius, radius of ...ms, sdisplacement, distancemθ, φ, θ, φangle, angular displacement, angular ...radx, y, zcartesian coordinatesm- Contrasting A Constant and A Changing Velocity
- The Importance of Slope
- Contrasting A Slow and A Fast Motion
- Representing An Accelerated Motion
- Check Your Understanding
To begin, consider a car moving with a constant, rightward (+) velocity- say of +10 m/s. If the position-time data for such a car were graphed, then the resulting graph would look like the graph at the right. Note that a motion described as a constant, positive velocity results in a line of constant and positive slope when plotted as a position-tim...
The shapes of the position versus time graphs for these two basic types of motion - constant velocity motion and accelerated motion (i.e., changing velocity) - reveal an important principle. The principle is that the slope of the line on a position-time graph reveals useful information about the velocity of the object. It is often said, "As the slo...
Consider the graphs below as example applications of this principle concerning the slope of the line on a position versus time graph. The graph on the left is representative of an object that is moving with a positive velocity (as denoted by the positive slope), a constant velocity (as denoted by the constant slope) and a small velocity (as denoted...
As a final application of this principle of slope, consider the two graphs below. Both graphs show plotted points forming a curved line. Curved lines have changing slope; they may start with a very small slope and begin curving sharply (either upwards or downwards) towards a large slope. In either case, the curved line of changing slope is a sign o...
Use the principle of slope to describe the motion of the objects depicted by the two plots below. In your description, be sure to include such information as the direction of the velocity vector (i.e., positive or negative), whether there is a constant velocity or an acceleration, and whether the object is moving slow, fast, from slow to fast or fr...
The shape, the slope, and the location of the line reveals information about how fast the object is moving and in what direction; whether it is speeding up, slowing down or moving with a constant speed; and the actually speed and acceleration value that it any given time.
Sep 28, 2022 · A shape or figure is a graphical representation of an object or its external boundary, outline, or external surface, as opposed to other properties such as color, texture, or material type. A plane shape or plane figure is constrained to lie on a plane, in contrast to solid 3D shapes.
Aug 17, 2022 · The effects of forces. Friction. Changing shapes. Temporary changes of shape. Springs and wires. In this section, we will learn how different objects and their size affect the impact of the forces applied to them. Forces are pushes/pulls of one thing onto another. An example of a force is gravity.
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Dec 1, 2010 · Geometry is the study of shape, but in the case of fundamental physics, you might wonder: shape of what? Plato thought elements such as earth and air were associated with little cubes and...
