energy_conservation - [email protected] W 1745,“ 5915;515:5545...

Info icon This preview shows pages 1–6. Sign up to view the full content.

View Full Document Right Arrow Icon
Image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full Document Right Arrow Icon
Image of page 2
Image of page 3

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full Document Right Arrow Icon
Image of page 4
Image of page 5

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full Document Right Arrow Icon
Image of page 6
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: N5%\/ @5555 W) 1745,“ 5915;515:5545 flgws-‘T .mm “”9““-ummmwm'lmflmwgvmwa MW. 33.327.356.15 '5 /% 557754 .55....«WWW . .. 5 “35mm. WWI—tun MW¢~_ —mflmm—mmwfilmwwn NQKL {Em LLJaew fact/Le. 0.x mew cc Wm.” .3... W kaWOmM—r—Alvwaw-o 3...mum_m._"meW~—- 5.....MWW 3333333333....333333333336553 = A. C? 2352.33.33---3.3..33.[J.).3--...333 3.53....Qmw3mw‘ . flmw.wm _.._-_3___3m . 3.33333333333 3.39.5331-..3.....--33...._,,33.33..3..33-.3.33.3...-3..-.3_9,3.-33(5).-.-_3..3.333-3333r mme .3. mmwwwmuwimamWWvAM—w WWwW WWMWWVW. Mm_r*<—1~l<wfl4‘ 3...... ' - . _ 01533355563 3/535... fMe: 4w) 33359553353553.5353”. 33.3..- C5; Why» (4/2133 m4?- QNggyéLL/ATIQAJ 69:66 66W 333...)!” uhwaam-WWN. , . W “WWW 333.333.33.333... . 3 . Waflmtj. Mm.w%fl' 3&66él/W (a .33~.33Q.m§33.3 3. 33.3%... 33.3.3.3-..“ 33,333.33... 3... 35.33.3333... 3£9335361555 ‘05». 355.34.21.555555355 imgfiwmm . I ' .3- 453.94% 3.312% 3.35.53.55.33... .5— 5MW.%L.33333333 3333-3 333-333.:I 3.333.333.3333... 39‘4333333 ’27 CW wmAé-3333333333333333W333333333333333333333333M333 F” . A 3 :3" MFA63 “3.333.... 3 33 3 -WWMWW .3333 W...:............;........._.., 004005.25 ww.3_...w . . «mm W 3......» 3-33.33.33.33... 3...- .FE. 9:ch 3.3/5.5:‘25333333333-3333333. A56; byspi‘za ail-em 5M1V55-5fifl6 - ’ 3 -., » 3.35.5151. A w 666.56.333.35. 35331155353333... *-.............333 f I €1pr MW 3344’..- 34334133353119W/5L33 3. 6666 6666666666 6666 . Hm:— mafia—W...— W mm—ngmm |<_ .th‘j1l‘c. .. éNE‘v’E‘ -3-.. 3. 339.955... 3555.; IN M» 45-33-555 <- 55.5.5355...- .- 333...- -3; .. 312154353154...- 5.55 35.15%»? 35.5% ., - 3- - 5559334553..-- , 3---...3333333 5.55.556..- ...-./3€..<153--53:5353-35:35.35;.355.---Y33.;i53>..-..33...:;...-3.3 .3-.-333..3...3.3...-355515553539---.-3£L&55M333§3Q3555 .33.....33....3-3.,33..333.33..3.33333.3...3-- ' ' _K =- 3. M v?- 3.:.. g...“ ,3531%...“ 3333...... M 3- ”<2 33,3 53-... 5mm W 33 .3 .3... 3... fiw..~..-.~.33.m..~§:um{3.“Mu-tflmmwfl“um—mu.... .vamW. vdmwmwzwgvmgwwak - H3........... 3-- .3 - 336-1- rum-6.319% 35-55. 3-5135555 555-55.- f .3 M... ‘5'“... 3--.! J .-..~-.....- .- 3W5. 55.553555.-- __ 3.33-3.3--- - - - -3- -_ - -3-- U. Potential Energy (1%) presents a greater conceptual challenge. P is the mechanical work stored in a syStem when it is prepared (or put together)' In the ‘ presence ’Of a prevailing conservative force. '1 . -— ,,.. ~- Suppose we have a region of space in which there is a prevailing force (weight near ,Earth’s surface comes to mind}. That is, at every point in this region an. object will . . experience a force. Let the ObjeCt be at point B [First notice that you cant let the object ‘ go as I: will immediately cause g and object Will move]. 6“ ' . To define l? at B we have to calculate how much work was needed to put the object at B' in the presence of F Let us pick some point A, where we can claim Eliat Dflii'lmo own, and calculate the work needed to go him A to B. As soon as we try to do that we realize that the only way we can get a meaningful answer is if the work required to go from A to B is independent of the path taken So our prevailing force has to be special. Such a force is called a CONSERVATIVE FORCE WORK DONE DEPENDS ONLY ON END-POINTS AND NOT ON THE PATH TAKEN. . Ifthat is true we have a unique answer Awi= -Aw1= --A=w3 Aw .u u and we can use this fact to calculate the change in N in going from A to B 42% mi = - ms ' NOTE THE —SIGN: It comes about because as stated above we cannot let the object go. . In fact, the displacement from A to B mustbe carried out in such a way that the object ‘ cannot change its speed (if any). That' is, we need to apply a force - F to balance the My}, ambient F at every point. The net force will become close to zero at all paints. Am}; 15 .work being done by— —F . ' ,,, ,,,,,,,, AMM ,, ,, m, ,., ,,,,, ,,,I ,,,__ ,,,, , _,, _ , ,, ,, So when F is conservative ARMS is unique. In the final step we can choose A such that W~_,W be) . .t’v'm QIL-fvr M4445 Meg—i 752341, Spmm? mammal Fag: - wt 3am ., - ' HEA'Q (it-75¢; Cawfiéwumhb’e W 40 *_7 ‘ I: ., : :: mkxfip _ .. 7 4 X5 Qb_g.e...44.33tw&.33.w .--. ”3.3.33.3... .WWW. WW:3WW W ,. :fi’flmiwcae—W ‘ €13"; V3 I “1333......W... W44 4 3,933.33333333. AMIM We >423... I54? 4W..-W W..._m .3... 33343.3..(33) 33....-- -...--.. .. .. .; -..-.......- 4"-.3“ 3.33.3333... .23....C 33.11-33.234... .. , . I I ;-.:fl~.e.v:m.agz§.?.33.%333....333333 ....._.~....-.....................4 ....-..... -..- - W..- -.3.D&> :2 ID w 3443--..-- ...4é2........... -................ \ h 32”..L3M334..fi3.3m§34333.3 72333333.. -4 ......._.--.... , “MI .‘béf3i14... £9 W 3...... 'W -.E--.&c%o.¢[email protected] . . NM» A9333 -WhflmgfiLégme .._.......- 333.34.339.43..3 33333.3.W-W3 3...... '3‘ & MWifz/vm . .Ji .. 0......v33-.......--..- ........ ' _ 33....3’3W W...£3.2.3 Vat..£.”.t....-....4 ‘ ,I ‘ , ;m_..FE_a__,—~. 43...»... WWW-..“ -me “3:...4 -33-... ,_ f/Va/ 3.. 3.7 44:; 4743.... Ila W4W¢.V.ae,fi-.¢é. 3.3-3.... ....... 33.334- -14.-..3333... .. “333333--.. . ‘ mm m WumMWmflhm .. . F . I s , " é‘E 7 $497.“ " " ”wW"M‘”M Wmm‘m HMMN‘* _ €3.33 .33. ”“3133...” e>mhku¢$~v KIn'ar .ANJ‘! J’W 13.0..3.4;4.w.wm.-u-¢«u—z-.—wmm.~m.um“new...“fi M 5.9V... 4.1..” - W“ - 33/333333» “WWW 3..me“; .M..._.I5w;.:.. ..9 . 434322.--- Wéfl. W ”Imam Eff”. 43' Ways; 4% i4; 7 wpgm (+5“: Mvcm, 7mwwm $1.14!?! 392%; I W - ' ,.,,,_ ' [4 fiYJ/j 79 WW A ”A A drew?» “ram" flaw AW » . VAANWMA , ‘ H.AAW-A~ZA WE? , ,l -‘ A. I A ‘S ~~~~~~~~~~~~~ - @hqmgmguwflamwfiAWA-s #fll .mfiAaAtga-flfieimfyz: 5;” , 7 ' ___ WWW___:......W n ”gigagw "i” “.14: 3F; {w—fiP—‘i-F— + “fig“m“ Lat-yum away 5172+.Iagf AWMIQIM WWWWAA;wwwmwmmWWMWMMMWWWWWWAWWWWA”AWMMLAWMw Wm" ”WA?MWEWMAQAMIQAWM? m ~W-- 7m.“ ' m ~75 PMAWW;M , £9er Wflfifiggtmmfihfigfiéflgg AMA; u * '”'“"“‘“"""‘“. é EMMA“; . “5i 5 @323“ A/NLA__ IWWW m ‘9 AAW WWW .AAWAAW erAW.W% mmwméggfiffifimwww ”WWW_WM ‘15; whfim WWW ”MAMA “MAW...“ A ‘ A +4? MA ANAL») WéAgwr/zrmAW Cm Attug Wm ' wé .Ammmwwwuw WA _fifl%¢w%WMmMm%wggfikdLMWWWWJ WA: __ mmmam RAW Wflmm.&%.f .._-..AWW.A.AAA~A m; Afigwkfl fiwflw WMWWM. ‘ ' Ava AULM A; A :' I W». #9:, «Am mmm —M-W .5; (3 AAAAW. .Am _*A~AAAAAA, , _AAAMWAWWHWWWA§;AAAAAAM ”Mummizwflwzg/mwlémé Wwffi «5 SMfi—wfi A 5’“ I V9 95? 4..A-..”.Aww-JA‘.M-m.m...~A ”.7, wet , =-.—~—~- ”m“ “w. ,_A.,-V.,A.w;,v«rm; “WWW. .«AHAMme AHA “1...“. ALL-Arrgmskam. “pay“..vmxmvn mmAv.21"M.“MAIL“;gnkm‘wwuufih—A.“ v,A“LAW”...“WM“.,nm.m...,- - ...
View Full Document

{[ snackBarMessage ]}

What students are saying

  • Left Quote Icon

    As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

    Student Picture

    Kiran Temple University Fox School of Business ‘17, Course Hero Intern

  • Left Quote Icon

    I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

    Student Picture

    Dana University of Pennsylvania ‘17, Course Hero Intern

  • Left Quote Icon

    The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

    Student Picture

    Jill Tulane University ‘16, Course Hero Intern