Collisions Short, Sharp Shocks

Transcription

1 16-8 Satterng R 1b n, b 19-1 Collson Colatons L1 Collsons 1 R 1 9 d, 15, 11 Derent Reerene Fraes, 111 ranslatonal ngular Moentu Quz 1 R 11a; HW1: r s 13*, 1, 3, 39 Collsons Short, Shar Shoks Sak! F

2 Whh o the ollowng s a roerty o all ollsons - both elast and nelast ollsons? (1) he nternal energy o the syste ater the ollson s derent ro what t was beore the ollson () he total oentu o the syste doesn t hange (3) he total knet energy o the syste doesn t hange

3 Whh o the ollowng s a roerty o all elast ollsons? (1) he olldng objets nterat through srngs () he knet energy o one o the objets doesn t hange (3) he total knet energy s onstant at all tes -- beore, durng, and ater the ollson (4) he total knet energy ater the ollson s eual to the total knet energy beore the ollson (5) he elast srng energy ater the ollson s greater than the elast srng energy beore the ollson

4 xale 1-D Collson Syste = arts & F rton ntally F rton nally F rton ow! F rton rue or all ollsons Oten know ntal oton, want to redt nal oton wo unknowns: and Generally need two euatons to sole or the & U & K nt & K nt

5 Syste = arts & ntally 1-D Collson Seal Case: Maxally Inelast ht & stk nally ow! ' s

6 ow! Syste = arts & ntally nally s ' 1-D Collson U K K & nt nt & eal Case: eretly last (all nternal hanges boune bak ) uaton 1 uaton

7 1-D Collson eal Case: eretly last (all nternal hanges boune bak ) xtra seal ase: Say s ntally statonary Intally Statonary ntally ow! nally 1

8 1-D Collson Seal Case: eretly last ransor or ntally ong Say I wathng ths ollson whle I just sttng here ordng to e e Intally I see e Say you re wathng ths ollson whle walkng by wth eloty Relate to you the ntal elotes are you e you you you Intally you see Slarly, ater the ollson, aordng to e you you e Fnally I see e nd aordng to you you = e you Fnally I see you = e you you

9 1-D Collson eal Case: eretly last ransor or ntally ong So, oletely rehrasng thngs ro your ersete: you e you you you Intally you see you e you you = e you Fnally I see you e you you e you e you you you you = e you you you e you you e you you

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11 -D Collson: Satterng Slow (<<C)

12 ,, sn sn : ˆ os os : ˆ y x Moentu rnle nergy rnle xˆ ŷ, sn, os, sn, os Slow (<<C) -D Collson: Satterng hree uatons / Four Unknowns Need another euaton, nt nt t t U K K K last Or ore noraton

13 ,, sn sn : ˆ os os : ˆ y x Moentu rnle nergy rnle last xˆ ŷ, sn, os, sn, os -D Collson: Satterng xale Say a kg uk ong at 3/s olldes wth a 4kg uk that s just sttng there Say the kg uk traels o at 3 and the 4kg one traels down at 5 What are the nal seeds and s the ollson elast?

14 Must be zero ŷ xˆ -D Collson: Satterng Slow (<<C), last Collson os, sn,,, hree uatons / Four Unknowns Need another euaton Seal ase: eual asses oare os, sn t os t, : rojetle ssed target : + = 9

15 ,, sn sn : ˆ os os : ˆ y x Moentu rnle nergy rnle last K K K xˆ ŷ, sn, os, sn, os Slow (<<C), last Collson -D Collson: Satterng hree uatons / Four Unknowns Need another euaton

16 ,, xˆ ŷ, sn, os, sn, os Slow (<<C), last Collson -D Collson: Satterng Collson geoetry and Iat araeter hree uatons / Four Unknowns Need another euaton dt d F Coonent o oentu along lne o ontat hanges, other oonent reans onstant b b = Iat araeter sn sn : ˆ os os : ˆ y x Moentu rnle nergy rnle last K K K

17 Whh o these s true? b 1) he larger the at araeter, the larger the satterng angle (deleton) ) he larger the at araeter, the saller the satterng angle (deleton)

18 -D Collson: Satterng Qualtate eet o Iat araeter Mss: b too bg No deleton b Glanng low: b bg b nor deleton Sold low: b sall ajor deleton b

19 robablty and Cross-setonal rea layng Darts adly

20 -D Collson: Satterng Dsoerng Nuleus

21 In the Rutherord exerent, what was surrsng to the exerenters? (1) Soetes the alha rays assed rght through the gold ol () Soetes the alha rays were deleted slghtly when they assed through the gold ol (3) Soetes the alha rays bouned bak ro the gold ol

22 Deeer Collsons relatst seeds dentyng ystery artles the atheatal trk o analyzng n the enter-o-ass reerene rae htt://enwkedaorg/wk/fle:cdf_o_entjg

23 ,,, sn, os, sn, os Conseraton o Moentu Conseraton o nergy where 1 sn sn : ˆ os os : ˆ y x where 1 show y luggng that nto t and reoerng that -D Collson: Satterng Fast Note: ntal and nal asses der or nelast ollsons

24 -D Collson: Satterng Fast Note: ntal and nal asses der or nelast ollsons nt K Reall: artle energy nt last nt In-last nt

25 -D Collson: Fast xale: bea o hgh energy - (negate ons) s shot at a lask o lud hydrogen, and soetes a on nterats through the strong nteraton wth a roton n the hydrogen, the reaton s where + s a ostely harged artle o unknown ass (essentally an exted roton) roton s rest ass s 938MeV, and a on s rest ass s 14 MeV he nong on has oentu 3GeV/ It satters through 4, and ts oentu dros to 151 GeV/ What s the rest ass o the +? sn sn : ˆ os os : ˆ y x onseraton o Moentu Conseraton o nergy sn sn os os sn os sn os sn os os

26 -D Collson: Fast xale: bea o hgh energy - (negate ons) s shot at a lask o lud hydrogen, and soetes a on nterats through the strong nteraton wth a roton n the hydrogen, the reaton s where + s a ostely harged artle o unknown ass (essentally an exted roton) roton s rest ass s 938MeV, and a on s rest ass s 14 MeV he nong on has oentu 3GeV/ It satters through 4, and ts oentu dros to 151 GeV/ What s the rest ass o the +? Conseraton o Moentu Conseraton o nergy os Could do algebraally urther, or just lugn nubers and sly

27 16-8 Satterng R 1b n, b 19-1 Collson Colatons L1 Collsons 1 R 1 9 d, 15, 11 Derent Reerene Fraes, 111 ranslatonal ngular Moentu Quz 1 R 11a; HW1: r s 13*, 1, 3, 39 Collsons Short, Shar Shoks Sak! F

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