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Monday, Sept. 16, 2002 - UTA HEP WWW Home Page
Monday, Sept. 16, 2002 - UTA HEP WWW Home Page

... In the absence of external forces, an object at rest remains at rest and an object in motion continues in motion with a constant velocity. What does this statement tell us? 1. When no force is exerted on an object, the acceleration of the object is 0. 2. Any isolated object, the object that do not i ...
Chapter 21 = Electric Charge Lecture
Chapter 21 = Electric Charge Lecture

... are the same ‘electricity fluid” under different “pressures” • He labels them “positive” and “negative” electricity • Proposaes “conservation of charge” • June 15 1752(?) Franklin flies kite and “collects” electricity • 1839 Michael Faraday proposes “electricity” is all from two opposite types of “c ...
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Fundamental Law of Electrostatics
Fundamental Law of Electrostatics

... 1. If q moves in the +z direction and the field points in the +y direction then the force Fis in the –x direction. The force is proportional to the velocity and the field 2. If q moves in the +x direction the force is in the +z direction, again proportional to B and v ...
Unit 2: Vector Dynamics
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... where 2πψ is the toroidal flux, 2πI(ψ) is the toroidal current within a flux surface, 2πg(ψ) is the poloidal current outside a flux surface, Φ(ψ) is the radial electrostatic potential, ρc = mvk /eB, and θ and φ are the poloidal and toroidal angles in the Boozer coordinates, respectively. The followi ...
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Activity 1.6d Newton`s Law Review

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FORCES and MOTIO BENCHMARK REVIEW Section 5

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... Example of a nonconservative force problem: Fireworks A 0.20 kg rocket in a fireworks display is launched from rest and follows an erratic flight path to reach the point P, as in the figure. P is 29 m above the starting point. In the process, 425 J of work is done on the rocket by the nonconservativ ...
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Course: Advanced Placement Physics B Teacher: Mr. Nathan

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Chapter 7 Impulse and Momentum

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... rest  on  a  fricPonless  air  track.    The  force  acts  for  a  short   Pme  interval  and  gives  the  cart  a  final  speed.    To  reach   the  same  speed  using  a  force  that  is  half  as  big,  the  force   must ...
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Newton's theorem of revolving orbits



In classical mechanics, Newton's theorem of revolving orbits identifies the type of central force needed to multiply the angular speed of a particle by a factor k without affecting its radial motion (Figures 1 and 2). Newton applied his theorem to understanding the overall rotation of orbits (apsidal precession, Figure 3) that is observed for the Moon and planets. The term ""radial motion"" signifies the motion towards or away from the center of force, whereas the angular motion is perpendicular to the radial motion.Isaac Newton derived this theorem in Propositions 43–45 of Book I of his Philosophiæ Naturalis Principia Mathematica, first published in 1687. In Proposition 43, he showed that the added force must be a central force, one whose magnitude depends only upon the distance r between the particle and a point fixed in space (the center). In Proposition 44, he derived a formula for the force, showing that it was an inverse-cube force, one that varies as the inverse cube of r. In Proposition 45 Newton extended his theorem to arbitrary central forces by assuming that the particle moved in nearly circular orbit.As noted by astrophysicist Subrahmanyan Chandrasekhar in his 1995 commentary on Newton's Principia, this theorem remained largely unknown and undeveloped for over three centuries. Since 1997, the theorem has been studied by Donald Lynden-Bell and collaborators. Its first exact extension came in 2000 with the work of Mahomed and Vawda.
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