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Kinematics Multiples
Kinematics Multiples

... This one is tricky. Because the spring is nonlinear, the solution to the differential equation is not a sine function and the period does depend on the amplitude. If you look at the graph closely, you will see that the FORCE of spring 2 increases with displacement faster than the force for spring 1. ...
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Assessment of density functional theory for iron(II) molecules across

Assessment of density functional theory for iron(II) molecules across
Assessment of density functional theory for iron(II) molecules across

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Elastic Collisions: Conservation of Momentum and Me

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Density Functional Theory Based Study of the Electron Transfer
Density Functional Theory Based Study of the Electron Transfer

... Saeed Kazemiabnavi, Prashanta Dutta, and Soumik Banerjee* School of Mechanical and Materials Engineering, Washington State University, Pullman, Washington 99164-2920, United States ABSTRACT: Room temperature ionic liquids, which have unique properties such as a relatively wide electrochemical stabil ...
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Chapter 4 Conservation laws for systems of particles

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Work, energy, and power
Work, energy, and power

... Contrary to intuition, no work has been done. Lifting the 40 pounds of books 5 feet up constitutes 200 ft-lb of work done on the books (i.e. potential energy invested in the books), but returning those books back to floor level constitutes 200 ft-lb of energy released (negative work done). Thus, in ...
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... The linear speed at this point will be v = rω = (1 m)(0.6283 rad/s) = 0.6283 m/s. A person standing at this point is moving in a circle of radius 1 m, moving at a tangential speed of 0.6283 m/s, which implies that the person is undergoing a radial acceleration of ac = v 2 /r = (0.6283 m/s)2 /(1 m) = ...
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Eigenstate thermalization hypothesis

The Eigenstate Thermalization Hypothesis (or ETH) is a set of ideas which purports to explain when and why an isolated quantum mechanical system can be accurately described using equilibrium statistical mechanics. In particular, it is devoted to understanding how systems which are initially prepared in far-from-equilibrium states can evolve in time to a state which appears to be in thermal equilibrium. The phrase ""eigenstate thermalization"" was first coined by Mark Srednicki in 1994, after similar ideas had been introduced by Josh Deutsch in 1991. The principal philosophy underlying the eigenstate thermalization hypothesis is that instead of explaining the ergodicity of a thermodynamic system through the mechanism of dynamical chaos, as is done in classical mechanics, one should instead examine the properties of matrix elements of observable quantities in individual energy eigenstates of the system.
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