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midterm 2010

# midterm 2010 - PHYS 260 Mid—term Test 7 Monday 1 Two...

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Unformatted text preview: PHYS 260 Mid—term Test 7 Monday, October 25, 2010 1. Two particles, each with rest mass m0, approach each other along the line between them. One has total energy 2771002 and the other has total enefgy 3771062 , as measured in the lab frame. The particles collide and make a single, massive, particle. (a) what is the rest mass of the new panicle? (b) what is the momentum, in the lab frame, of the new particle? CL) 4’7 {Wkﬂwiﬂgﬁ 'mel‘imézr "* i " I \ ’3} *4 ’ Xe *5 / "i ;<Pt'}‘£‘E£'/C’) r ,7 952/13) 3' 13)”? gig 37f»; E> ; x, ,PL *5 :2: ( ‘4 Rwy. 3 “9' *“9 w a} \ﬂ _+ “ML, K} A a; 6"“; ()1 cm at?“ {W«% Seam.» 53 Q {mad} Swiffﬁk “we n, ‘7“ r ’3' '1 4 MW PL P); & EL C (PL)? wi‘MLC /C. J 7 ’L 1 1 Z‘ We) " _.s « Bum - i. 7 z , ‘ ‘1'“ Z P"Pz. " A a ' 1 up *7 E; «3, ‘ a Pe‘é—«EI/C “A “'i \ J 2 1 Pl Di: *7 VExE/Y‘QECH/C ; P; : “F11— ” EL'MaCfr/L (A. a e ma; It 17 a}? 11W :3 E. ’8 133‘s (3-. .r . " , w“ 4 7,0 f ‘ “A. " him}: “ihgeucﬂ » i when) - 23-207mm) “ « 2. Consider two frames, 8' and S’, with 8’ moving sit velocity v = 0/2 along the x axis in S. (a) A rod with proper length lo (oriented parallel to. the x axis) travels at speed u = 2c/ 3 along the x x axis in S. What is its length as measured by an observer at rest in S’? ,7 w l l (b) If, instead of being parallel to the 2 ads, the fed is oriented at an angle 6 in its rest frame, what will be the angle to the :2: axis in S? W “ ’ * * S 7 7 «iu‘» ,7 'cﬁigfﬁtkN‘vg 5: LL“; tot: 2.5/3, {7 W Low; ,ng gt , , ~ , , , , M), , , 7 is, {ﬁrrodmg “a egs 1"» Cr ,/“f’}“\$ 4’ ﬁt 3. Consider two frames as in the previous problem (but with the speed of 8’ not necessarily the same). They coincide when t z t’ = 0. In 3 event A occurs at the origin when t = O, and event B occurs later at a: = 9m when t = 10‘8 seconds. In 5’, events A and B are simultaneous, occuring at the origin and at 33’, respectively, when t’ z 0. (a) Determine the speed of 8’ moving through 3. (b) How far apart are the simultaneous events in S}? {ems/mg? W f.» 7 m S a; 31%;. >4,“ 3 ‘3 7 7 x347 Q in t O , €11 ‘ 5‘ ,, X5 7 C? m , kg; 3 Vm‘éﬁ) , , ,, ,,, t1; 165%.; £22) =91” €63," Wxszﬂf) : G ...
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midterm 2010 - PHYS 260 Mid—term Test 7 Monday 1 Two...

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