2211_S11_+Lecture+17+with+notes

2211_S11_+Lecture+17+with+notes - Physics 2211 Matter and...

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Unformatted text preview: Physics 2211': Matter and Interactions Chapter 6: The energy principle ' Types of Energy Electromagnetic Energy Rest Energy Potential Energy e a Physics 221 1 : Matter and Interactions Chapter 6: The energy principle I: The Energy Principle - Then the energy of a system is equal to the wor " done by the surroundings plus the flow of energy (Q) between system and surroundings due to a temperature difference. AE =W sysmn surroundings + Q SYSTEM N4“: changr Al’s“ (1| r’Hlek itmitlc .wsrrm -P hysics 221 1 Z Matter and Interactions Chapter 6: The energy principle ~ The energy principle tells us that there is a cause and effect relationship between the system and its surroundin ‘; a Fundamental Principle - Similar in concept to the momentum principle - The energy of the universe is constant! Physics 221 1 : Matter and Interactions Chapter 6: energy of a particle - The Energy of a Single Particle - Energy is a scalar, not a vector! - The 8! units of energy is a joule - When the veiocity is zero, gamma equals one "3 E I rm." TBS! - For non-zero velocity the difference between the energy of the total particle and the rest energy is called the kinetic energy K N K:EPm-RLQ,P NSF K: ch1~ mcz 0 panick‘ Inc + Physics 221 1 Z Matter and Interactions Chapter 6: energy of a particle a The kinetic energy can be expressed in such a way to facilitate taking the limit v << c l —\“ ’3 w 3 M 3 2 . 2 K21”? y—mc‘zmcfl 1 + [C +... J—mc , | a . .. A K ‘2:- 3-1721" 1 only If 1* << 0 ~) A’— ~ Energy and momentum both centain the gamma - We can write an expression that reiates these two quantities using gamma Physics 221 1 I Matter and Interactions Chapter 6: energy of a particle a PRS: A ball whose mass is 2 kg travels at a velocity of < 0, -3, 4> m/s. What is the rest energy of the bail? (1} o J {2} 25 J {3} 6e8 J {4) 9e16 J (5; 1.8e17 J Physics 2211: Matter and Interactions Chapter 6: energy of a particle - as; A ball whose mass is 2 kg travels at a velocity of < 0, -3, 4> m/s. What is the rest energy of the bail? (1}0J (2}25.’ {3}668J E: MCZ (4)9e16J _ D M/ Z ':;1.8e17J (2 \ca)( 3: 3) - \ 3— _ ‘%/\\O 3: tam-Z / 57.. Physics 221 1 : Matter and Interactions Chapter 6: energy of a particle I a; Consider an electron (mass 9e-31 kg) moving with speed v = 0.90. What is its total (particle) energy? (3} 7.3e-31 J (2} 8.1e-14 J 2 (3)1.05e-13J E = XML 4}1.86e-13 J _ i —3\ 9m L (5} 2.7e3 mls (q x ‘0 kg) (3“) 3» !‘ (05°31 Ov’t/x/Zzo) do Eacrqj W‘ 0‘ 5‘04 {A 1-31' class ’fluJ'.‘ DE: 2 W3”, + Q Agar}; 4' Aggy", ; O 61‘431 P’ucltplc Coaguua/wnofi z’ (SE-€75 : J13:- an zsdukd Syskvn "WM Enéfiy ‘3 “(filler creo‘ud! nor A’skgtrl‘ H is 0M7 vivaMFuul. tit-«93W: .I 'F wSul‘r < o 114C gurr OHAJMjS I Jams (“"32 . '2. “4:43 Eur » . Z ’6 Jy‘ : N'MzJoulfszj— 5 : RIS’" (VT 0 Erarhyb It. 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We 0.41.} ( 59mg of .s H «Cu: .9 510.05 dad" as Am; [Mm/(3 VPQII{CIS 15%..“ MC K110“) “I; 50 AESUFF > O SI/H( <~.. Eras“? + K; C Ens+¢ 1' K" + NSwr gv"(€ oncl d\§+én(£. Agfurr ; Q: 0 'CDI‘ parka/CPS div/Y fi/Mwlq H H E” 72 “F Tm Eofi‘mm"; NOV L6 Agrzgk:o) AK: N3u(r 'WO/“lAl'M/YI C/[m/j; Indo‘f§ "AS/(I anal r’hme ~— Tfi AK<O ‘3 WSW-(<0 IF AK)o :7 mm,» J 533/! lb (abet vhf/445 fin fit, d\r(cHO,q (641$ Aft? turf nd1f(¢.hmr6 M0504 fast We!) ‘ Q SUIF “ , (A‘Slg/aamml') )1“; i a ‘ Sufih &, \ MR Spy/w»; N : W ark don: by F M IS posflh‘e. Injccrs mggy mm the systcm. \ Work done by it is negative. Extracts mergyfmm (he sysa‘mx. \fd 1 : “ fg; L A S < D Work (mm: by :7 is new No effect an the energy of the $}*‘S¥€l& w; ; Ni A5} — N10) : o A}: 0 Work done by T? as zero. No effect on me cnergy ofmc system. w, z b M L by) _ o ’nfl alga} dew nc} max/L [or 4,6 H's 49+!" almfiaumm/ '5 g/rcj / J? I ill ll 9 jfiffl . . .. , \NIC‘Rk “\So did/y,ng m ~+w M, 'fLo 44-12, (J 4’ d\S(0)0C€-m{flf AV :. i} ’ (A (M fir . ............ .... .. F51“ J— ., "’v A___._.. . W 2 AAA L) Bogs [10+ 3]U( 6’76} — I IN €914"? «on?! \+ : (Hos DNA“ ( MA I fit 3- ame i5 H Ar _> 055% *t/mfii CHI" .4 "lv' 6 (1(SflltCflrflfi')’ fl‘g {gaff C ( [371? (fin/A", Paf/I [If / h; r 1/)18 ("t ( L J ( luff LL‘H‘C J 77H" '15 (“flu/le l1”) Tina IHA'flJMahn/Q (it/61,).Acn: '* ' o o a \N, __ : F.ATB <——“ w aka “6 b3 7; )Uln : AX * F3 5‘34 F2 AZ Devfmilnm a") Sulor {Junprbddd I F A J ._\ ..\ F - ‘ M A. B = lAllBlcose F- a F F 1:“: and/Of e _ ~ pg: (AMAYIAz)-<8,‘B7,6i7 — AXB$+ tow a; a? 06.3.a: On a space station, you pushed a box that was initially floating at rest at location < 0, 0, 10 > m to location < 0, 0, 14 > m, applying a force < 0, 0, 5 > N. How much work did you do on the box? 5) Not enough information 50in: AF: <1 - 7‘} 4 (0.0mm n: F L? : <‘0.r;57f~\1 «WI “7"” F : < (\l I {3‘ UTK‘L‘ 4» H '41 ((3:75. 06.3.b: You did 20 J of work on the box. What happened? 1) The box slowed dowg. —F—> ( H 4? A? e Box speeded up’f'\ - A I 3 id/ (moi calm/)5 ,l\(l The box move a constant speed. 5 P “ ( lads ‘ A figure skater slides in the -x direction along the ice, toward her partner. When she gets close he pushes on her in the +x direction, to slow her down. Does he do positive, negative, or zero work? * A N ; PM : if; llAFlmzlS’C ,f 'lgllzfrl < 0 F 06.3] You drop a ball of mass m at a height h How much work was above the ground. The ball falls, done by the Earth on speeding up, bounces off the floor, and the ball? goes upward, slowing down, until it is 1) mgh once again at the location where you 2) —mgh released it (height h). 3) 2*mgh 4 —2*mgh 5) 0 Initial state: Just after release Final state: Ball back at original location C‘Atzys ‘4 flu R¢X+ Eur-‘7 U? A}, Mu), “K {Mum no? ConsiAueJ ProceSS‘cs 41M}. naive “'6 4 “15"”- Tku’ k"HMS {A Some hue.qu {lac-HMS 4A4 3A "hat 6‘6-7 66 ekmmhyy Panhcks, Such as 'flae neuhon. A ‘p/‘tt mauh‘an decays MJ'D q Prohd (If) and club/“(6) and an Gui-{Making (7‘) -, V\'—> Pare—+5 (JAM? wave “(1‘ IVa/I b! ( "*4 3 Par'H‘J'S 7““);“l Idmhlvy than? Problem: ASSumd ’h‘qf' a (Mahala/ll A] [5 a!“ 1’65": ww is m Kmd'ic, “all! K 96*“575’0” aflcr 77m dacay? AESJS: “surf 3'40 (aSSumt Lotta" NJIJ’ blkl’l "‘"l r‘r‘} ‘fi‘lzr Act“? 5.1% :1 mo 4- c-Ih‘sx‘on --3 “£2.”an 1’- - , .5 M nu), to err. HMV’L’J. 7 gsjs’; - €535” o 90 I" 33 5 ’Z. ESSS‘L Ertshnc' Kfil" : Mac V O MALL = MPcL+ m‘_cz+ MFCZ + (K93; ” Kai; +Km> K; a 15m: Kwhc W11 16 .u3 Mn: q3‘l.to ELI-K mp: 438.5%? mg : Danny/Ll WW“) 9 Mgrcio K; Magi-mfczn Me'Czd M/ ‘1 Cam L a. Prahn‘P‘ cxlcm.’ 2A,» a nt‘dvpn? ‘0‘th s Wuhan \us WW"! (‘le (“9"”) “AA (L? K'NH" (MP7? W db no froducb would b( Na’ahd" QMVA [5 mflasstbé. Q2 “UN-VS ‘HAC Ail-(chad «b mew1 ab eaLL par‘Hc‘C. ~b4'er‘ V‘CUHDAJC(.J.? HOMM’MM Prkndplcz no MkrAJ Crag A? : O ’ 37(048’2J— .3 A TL-(AI ?L‘bhj :Pi‘w :6 A). Mms+ ako bc qu—l élw,‘ ’flu‘S |I\ .5 A A - ff. “ Fr * ~? ’ O Wk?th AM d/ ('0 b: in) . 9* /‘1 ‘1 ——-—- w (0‘ o .°7 ..- V t ! 5 5‘5!) (7425‘ L \7 +0 Maul/1% 06.2.a: A ball whose mass is 2 kg travels at a velocity of < 0, —3, 4> mls. What is the kinetic energy of the ball? * 06.2.e: Consider an electron (mass 9e-31 1) 7.3e-31 J kg) moving with speed v = 0.9c. its 2) 3.28e-14 J rest energy is 0.81e-13 J, and its 3) 8.1e-14 J (total) particle energy is 1.86e-13 J. 4) 1.05‘e-13 J What is its kinetic energy? 5) 1.86e-13 J k: (3" i3n1¢( Z 06.3.f A skater on a skateboard coasts in the +x 1139:3933 direction. He is about to run into his friend, so 2) negative 3 she pushes him in the —x direction, to slow him 3 down. What is the sign of the work done by the ffiend? A? A 1) positive, 2)negafive 3) zero 06.3.9: A tennis ball is moving in the —y direction. You hit it downward with a tennis racket. \LAr During the time your racket is in contact with the ball, do you do positive, negative, or zero work on the ball? A fancart moves in the -x direction. The ' ' fan is on, and the force on the cart by the air is also in the —x direction. ls the work done by the air positive, negative, or zero? A? @— E—L F 2)negafive 3) zero 06.7.b A horizontal spring has stiffness 100 Nlm. A block is pressed against the spring, 2) 4 J compressing the spring 0.2 m, and then 3) 2 J released. When the spring has reached its 4) 0 J relaxed length, how much work will it have 5) We need to know done on the block? the mass of the block 1)20J 061a: You push a crate out of a carpeted room and along a tiled hallway. White on the carpet you exert a force of 30 N and the crate moves 2 m. While on the tile you exert a force of 12 N and the crate moves 8 m. How much work do you do? 1)210J ~ “ A \AJ: F-Esr. " (Ag '[J‘FZ 2 130 J i . J ii. [at 3‘ ( ego thiixkn—x 5) 42J :3ei2).oz)(2h*—fiél4flzm ‘ 6) We need to knoyv the mass of the era e. —_—\ [to f- we \ 06.8.3 A thrown baii heads straight up. SYSTEM: Bali What is the work done by the surroundings? no Initial 3mm Finai state r: vino A . a a .— (f ,F w:p¢fi:wuahws@ V 'F"|b:.(u§"3£) " Lit/é?! Lg 1 , C L finals? W 7 Does ’nm Ea/‘fl do WORK DA 42“ mean. CWtu‘ll’ 5,433,,0‘6 @ y€5 m mm“ @100 50 fir) we. L‘AVI defuan woflk 78f oAhf —-‘ .5 WSqrr : F'AC T Mug ht? (mShJ (nigh/J vgl’Ye 5' We GIAII'II sz,-4I"/'ior\ or k) gf be“ (OAQJ—d/‘J‘ “Ad non/‘(OASJ‘AA+ firm: EVC‘MQR : “ORR dong a SEN}? Form. A ban runs "n+0 a SPrRAZ (01' HS Lo} win. a Sfyol V=JOMIS TAc SPHA '5 ¢7uinbdqm lznjfl is 0.3m. 71m ballsbfs 51+ 0.1m. ’2 l/Qhfl‘, {D}? K: Mk di4( 310(1/3 ' ES A box 35 ch43 across a Kh‘cko/fllSS Surfafr. 52 a rope. Makma “A33: 6—: 30°. “M‘J ‘\S 47% woRK) L6 “Wt *VOS-HJA Kn "Ma (0‘): is 20 .4) and flu box SAM-+5 a} X : 5 M [AA MOV¢S +0 X 3 JA (Me («ILJ 9 BE (creaking btzaufie You [\‘W on Alak)( / / dolS no“ Makzh“ flu 9 M W‘ ‘EHA?\LO§G fix! \ODE K g/MKIL ...
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This note was uploaded on 01/22/2012 for the course PHYS 01 taught by Professor Curtis during the Spring '10 term at Georgia Tech.

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2211_S11_+Lecture+17+with+notes - Physics 2211 Matter and...

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