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# 483 Class Note for PHYS 211 at PSU

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COURSE
PROF.
No professor available
TYPE
Class Notes
PAGES
17
WORDS
KARMA
25 ?

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This 17 page Class Notes was uploaded by an elite notetaker on Friday February 6, 2015. The Class Notes belongs to a course at Pennsylvania State University taught by a professor in Fall. Since its upload, it has received 21 views.

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Date Created: 02/06/15
Chapter 8 and also some of 7 Eli Work and Potential Energy I Work and moving objects Kinetic Energy Conservative Forces Review Definition of Energy The ability to do work Work is determined by a change in energy Energy and Work units are the same Joules Energy can be stored POTEN to do WORK Potential Energy It drops out of the work energy theorem whet AKE Kinetic Energy Energy of motion Always positive Change is due to a resultant force Work Energy Theorem The work done by a resultant force changes the kinetic energy of an object Potential Energy Energy associated with the con guration arrangement of a system of objects that exerts forces on one another When the tomato goes upward the work done on the tomato by gf t g 5522e 39 by ue b39Ll Ie am Is negatlve gai amam gasmum because the force transfers energy 0 for from the KEof the tomato to the PE of the Earth tomato s stem When it goes downward Potential Energy Recoverable work or energy of position agrees with intuition namely as the tomato goes up PE increase KE decrease and work by gravity is negative This is how we introduce the sign relating the work done to the change in the potential energy k The Gravitational Force Work done raising an object 8 VI II I 1 31qu mg ls gt nlg fdx jdv 1961 rng it2 y 1 lug 5 39t 39x I mg dv mg Idv mgyf y 1ng Work clone by gravity The work done by gravity is independent of path erAK AUAK 1 2 1 2 mgyf4 yn3mvfEmvt iAUZAK 0r 1 2 1 2 mv mgy Emvfmgy KUKfUf tn H Energy is Conserved for conservative forces The Spring Force Like gravity work done only depends on the end points of the compression or stretch Path independence of l conservative forces t G V 2 a o 7 2 a Si 1 Proof Path independence of calculating the work Net work done around a closed path by a conservative force is zero Example 8 2 Example 8 4 R wpr U 7111 I f 2 yr Potential Energy function r39 J I39 F V m x M Ihuv m Finding PE from Force and visa versa W AU Uf Ui For gravitational force mgYfyi FAy U Fy 7AAy Fx dly or Uy Iyyf Fydy Work done on System by External Forces including friction W AK Ch7 net a f conserv AK WaWf AUAK Ch8 J WaWf AKAU x a B 39ff quotquot W fp d AEmech 1 AER Fa d AEmech Ethermal xxx AL Friction Friction is NOT conservative Friction always point opposite the displacement so the work done against friction depends on path length r

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