Mon. Tues. Wed. Lab Fri Electric and Rest Energy

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1 Mon. Tus. Wd. Lab Fi lctic and Rst ngy Macoscoic ngy Quiz 6 L6 Wok and ngy ngy Tansf R 6. P6, HW6: P s 58, 59, 9, 99(a-c), 05(a-c) R 7.a bing lato, sathon, ad, lato R 7.b

2 v. i xal Gavitational Syst: ath and Sun v. f S. i S. f Syst= ath + Sun Activ nvionnt = non 0 W syst xt Not changing, S st. st. S K K S, S 0, S K, S K. f, S. f K. i, S. i 0 v. f G Sf s v. f G Si s S

3 Which of th following gahs of vs snts th gavitational otntial ngy, = GM/?

4 Diffnt Initial Sds / kintic ngis, Diffnt Paths (obit noncicula, with ngy vs osition.y)

5 In which gah dos th cyan lin coctly snt th su of kintic ngy lus otntial ngy?

6 ngy Conctual ndstanding fo ngy Diagas x. Nucla Potntial Liits / Tuning Points K=0 K=0 K+ = Const

7 ngy Conctual ndstanding fo ngy Diagas x. Nucla Potntial Liits / Tuning Points ( ) K=0 K=0 K+ = Const K( )+( )=Const K( )=Const - ( )

8 ngy Conctual ndstanding fo ngy Diagas x. Nucla Potntial Liits / Tuning Points ( ) K=0 K( ) K=0 K+ = Const K( )+( )=Const K( )=Const - ( )

9 ngy Conctual ndstanding fo ngy Diagas x. Nucla Potntial Liits / Tuning Points ( ) K=0 K( ) K=0 K( ) K+ = Const ( ) K( )+( )=Const = K( )+( ) K( )=Const - ( )

10 04_otntial_ngy_wll.y

11 Th syst is a cot and a sta. In which cas(s) will th cot sca fo th sta and nv tun? ) A ) B 3) C 4) A,B 5) B,C 6) A,B,C

13 ulsiv attactiv ulsiv d Foc as ngativ gadint (3-D slo) of Potntial ngy F d sall chang in otntial F dx F dy F,. x. y. z dz d dx,, F. x Say only ovs in th x diction, thn d d, F. xdx so F. x dx, Siilaly, if only ovs in th y diction, thn d xˆ xˆ d, F. ydy so F. y dy, o, if only ovs in th z diction, thn d d, F. zdz so F. z dz, F Moving in all dictions, d,, F. x, F. y, F. z,, x dy d dz,

15 Coulob s Nwton s lctic nivsal Foc Law Law of Gavitation q F ˆ q q q F F G 4 ˆ o G o 9 N kg C ˆ,.lctic lik chags, G 4 o q q Gavitational lctic Potntial ngy oosit chags,.lctic

16 xal: Ioniz Hydogn. In a hydogn ato th lcton avags aound 0-0 fo th oton. Whn a hydogn ato is ionizd, th lcton is stid away. What is th chang in lctic otntial ngy whn such an ato is ionizd? 0 i 0,, lct f,. lctic 4 o f 4 o,. lct,. lct i ,, lct C N,.30 8, lct O in V s (divid by lcton chag) J.30 8 J 9.60 C o 4V o 4 C o i q q f Syst= lcton + oton Activ nvionnt = non 0 Coaison: lctic vs. Gavitational,. lct,. gav,. lct,. gav,. lct,. gav 4 o G 4 G o N C C N kg.7 0 kg kg 39

17 + - Rtun to Rst ngy and Mass Pai (lcton and ositon) Annihilation c c i i initial lcton and ositon final c Two hotons (light ulss), 0.5MV / c c 0.5MV

18 - Rtun to Rst ngy and Mass Nuton Dcay c n i c n c initial n final nuton Poton, lcton, and nutino Naly asslss Finally infinitly fa aat 0 c c K K K,,, f c n c K K K c c c n c K K 939.6MV 0.5MV MV + - n Mass as ngy and ngy as Mass Box o dcaying Nutons K 0.79MV, st box c Viwd fo outsid all. aticls n Paking insid c K K Box s ass includs intnal kintic and otntial ngis K,

19 ngy Rtun to Rst ngy and Mass O bonding f =c M f = f /c = K+=0 f

20 ngy Rtun to Rst ngy and Mass O bonding f =c M f = f /c = bound f K+ K

21 ngy Rtun to Rst ngy and Mass O bonding K+ bound =c + (K+ ) M bound = bound /c = + (K+)/c Not: would hav shd xcss ngy by itting hoton / light uls f =c M f = f /c = ngy / Mass diffnc M M M f M bound f b / c c c K / c bound bound M 36 K / c 5V / c 90 kg bound Noticabl? M 0 30 not ally o f K+ K

22 Rtun to Rst ngy and Mass Nucla Binding: Ion nuclus If an ion nuclus w disintgatd, how uch K + ngy would b consud /oducd? Noticabl? c c F % ys 507MV initial final 6 F 6 30n Ion nuclus 56 F F. F c c i f Potons and nutons all. aticls 6 K c 30 c all. ais n sful info 507MV F. nuc 939.9MV 938.3MV K all. aticls all. ais 6 c 30 nc K all. aticls all. ais MV MV K all. aticls all. ais 48MV M n K all. aticls / c / c all. ais / c

23 Rst and lctic-potntial and Kintic A -35 nuclus is stuck by a slow-oving nuton, so that th g and bco - 36, with ass M -36 This nuclus is unstabl to falling aat fission. On way it could do so is to fist slosh into sothing of a dubbll sha, now ost of th into two sytic nucli, Pd-8, with ass M Pd-8, ach has ½ th oiginal nub of otons, i.., q Pd = 46. Having falln aat, th two alladiu nucli no long xinc a Stong intaction holding th togth, just th lctic ulsion of ach oth s otons. Subsquntly, thy acclat away. a) What s th final sd of on of th Pd atos, whn thy hav sd fa, fa aat? b) What is th distanc btwn th Pd atos just aft fission?

24 Mon. Tus. Wd. Lab Fi lctic and Rst ngy Macoscoic ngy Quiz 6 L6 Wok and ngy ngy Tansf R 6. P6, HW6: P s 58, 59, 9, 99(a-c), 05(a-c) R 7.a bing lato, sathon, ad, lato R 7.b

GRAVITATION 4) R. max. 2 ..(1) ...(2)

GRAVITATION 4) R. max. 2 ..(1) ...(2) GAVITATION PVIOUS AMCT QUSTIONS NGINING. A body is pojctd vtically upwads fom th sufac of th ath with a vlocity qual to half th scap vlocity. If is th adius of th ath, maximum hight attaind by th body