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... Angle is a ratio of two lengths (  = s / r ) so it is unitless. As a convenience we refer to angle as having units of radians, saying, for example, that the angle subtended by half a circle is Œ radians, but this is a notational convenience. Angle is dimensionless. Speed is the rate of change of s; ...
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Semester 1 Exam Review Name: Measurement Measured in

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... like friction, acts upon that object. This law is commonly called the law of inertia. Newton’s Second Law of Motion states that objects will accelerate when a force acts upon a mass. In this law, we learn that there is a relationship between the mass of an object and the amount of force required to ...
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... Note that changing the integration interval for fi from [0, 1] to [1, 0] is equivalent to having the particle decelerate. This changes the sign of the ith particle’s contribution to (I.5), just as the sign of its contribution to the soft factor would switch. Here, I have shown that the result discus ...
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Revised Version 070223

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... circular track, a ball spun around by a string, and the rotation of a spinning wheel are just a few examples. Various planetary models described the motion of planets in circles before any understanding of gravitation. The motion of the moon around the earth is nearly circular. The motions of the pl ...
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Derivations of the Lorentz transformations

There are many ways to derive the Lorentz transformations utilizing a variety of mathematical tools, spanning from elementary algebra and hyperbolic functions, to linear algebra and group theory.This article provides a few of the easier ones to follow in the context of special relativity, for the simplest case of a Lorentz boost in standard configuration, i.e. two inertial frames moving relative to each other at constant (uniform) relative velocity less than the speed of light, and using Cartesian coordinates so that the x and x′ axes are collinear.
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