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21_Simple_Harmonic_Motion_Edline
21_Simple_Harmonic_Motion_Edline

... The motion of the mass is a result of the conservation of energy while the mass moves. Usually there is an exchange of energy between elastic potential energy and kinetic energy. The POTENTIAL energy of the oscillator is: US = ½ k x2 ( The energy stored in the elastic medium ) The KINETIC energy of ...
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Chapter 9 Lecture

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... Periodic Motion  motion in which a body moves back and forth with a fixed path over a definite interval of time. A special case of periodic motion is known as harmonic motion. Harmonic Motion  Periodic motion with no friction that is produced by a restoring force that is directly proportional to t ...
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...  2 Dt ln 2 The width at half maximum is: ...
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... Resonance appears in other areas of physics. For example, certain electric circuits have natural frequencies. A bridge has natural frequencies that can be set into resonance by an appropriate driving force. A dramatic example of such resonance occurred in 1940, when the Tacoma Narrows Bridge in the ...
Q1. Work is defined as the scalar product of force and displacement
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... A body can have constant velocity and still have a varying speed. Not Possible A body can have a constant speed and still have a varying velocity. uniform circular motion A body can have zero velocity and still be accelerating. free fall at max. height A body can have a constant acceleration and a v ...
Work and Energy
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... (b) The time taken for the object to be displaced the first 12 m (Ans: 1.1 s) (c) The amount of work done by the net force in displacing the object the first 12 m. (Ans: 48 J) (d) The speed of the object at displacement x = 12 m. (Ans: 22 m/s) (e) The final speed of the object at displacement x = 20 ...
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... us a weight attached to a vertically mounted spring. The weight is given an initial small displacement (which will be the amplitude) and then released. It bobs up and down. Its velocity will vary as it moves through the cycle. The velocity is zero at the top of the motion and at the bottom. The maxi ...
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newton`s laws webquest - Trimble County Schools
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... the motion of all bodies is governed by the same basic rules. In the elementary years of conceptual development, students need multiple opportunities to experience, observe and describe (in words and pictures) motion, including factors (pushing and pulling) that affect motion. At the middle level, q ...
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... 7-7 Collisions in Two or Three Dimensions Conservation of energy and momentum can also be used to analyze collisions in two or three dimensions, but unless the situation is very simple, the math quickly becomes unwieldy. Here, a moving object collides with an object ...
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... is isolating those quantities which do not change with time. A conserved quantity is a function of the positions and momenta, and perhaps explicitly of time as well, Q(~r, p~, t), which remains unchanged when evaluated along the actual motion, dQ(~r(t), p~(t), t)/dt = 0. A function depending on the ...
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... the same weight as the object. Then, it will float. - If it cannot displace enough water to match its weight, the object will continue to sink because its gravity force is larger than its buoyant force. These are unbalanced ...
Chapter 7 Notes - Valdosta State University
Chapter 7 Notes - Valdosta State University

... The principle of conservation of momentum comes from the Impulse - Momentum Theorem. We will consider two point masses that collide with each other and look at their momenta before and after the collision. ...
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Molar Mass - Science With Horne

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... The principle of conservation of momentum comes from the Impulse - Momentum Theorem. We will consider two point masses that collide with each other and look at their momenta before and after the collision. ...
motion - Images
motion - Images

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Brownian motion



Brownian motion or pedesis (from Greek: πήδησις /pˈɪːdiːsis/ ""leaping"") is the random motion of particles suspended in a fluid (a liquid or a gas) resulting from their collision with the quick atoms or molecules in the gas or liquid. Wiener Process refers to the mathematical model used to describe such Brownian Motion, which is often called a particle theoryThis transport phenomenon is named after the botanist Robert Brown. In 1827, while looking through a microscope at particles trapped in cavities inside pollen grains in water, he noted that the particles moved through the water but was not able to determine the mechanisms that caused this motion. Atoms and molecules had long been theorized as the constituents of matter, and many decades later, Albert Einstein published a paper in 1905 that explained in precise detail how the motion that Brown had observed was a result of the pollen being moved by individual water molecules. This explanation of Brownian motion served as definitive confirmation that atoms and molecules actually exist, and was further verified experimentally by Jean Perrin in 1908. Perrin was awarded the Nobel Prize in Physics in 1926 ""for his work on the discontinuous structure of matter"" (Einstein had received the award five years earlier ""for his services to theoretical physics"" with specific citation of different research). The direction of the force of atomic bombardment is constantly changing, and at different times the particle is hit more on one side than another, leading to the seemingly random nature of the motion.The mathematical model of Brownian motion has numerous real-world applications. For instance, Stock market fluctuations are often cited, although Benoit Mandelbrot rejected its applicability to stock price movements in part because these are discontinuous.Brownian motion is among the simplest of the continuous-time stochastic (or probabilistic) processes, and it is a limit of both simpler and more complicated stochastic processes (see random walk and Donsker's theorem). This universality is closely related to the universality of the normal distribution. In both cases, it is often mathematical convenience, rather than the accuracy of the models, that motivates their use.
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