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Unformatted text preview: PHYS 260 Problem Set 2 i. I ‘ ‘ ‘ ‘ z I ‘ 1, j _1 A rocket ship of proper length 100 In travelling at 11/0" 0. 6 carries a radio receiver at its nose. A radio pulse is emitted from a stationary space station just as the tail of the rocket passes by. (a) How far from the space station is the nose of the rocket at the instant of arrival of the radio signal at the nose? (b) By space station time, what is the time interval between the arrival of this signal and its emission from the station? (c) What is the time interval according to measurements in the rest frame of the rocket? i 5 1 l i 3 '; s 1 a; é l'ﬂa spaei ﬁchm 4 4g, WM‘L éf ‘ l 7 ;_ i ‘; [A .m , liq \_ i: Wag. P‘Lkhmi 42*"? ﬁrﬂm‘ “i 5&6 {pk i g i. ' r i i ‘ 3 3 i . 1 i i g 1 9 i i 7 t i ii 1 I g ,. L 2. A rod of proper length la is at rest in a frame 5". It lies in the (93’, y’) plane and makes an angle of sin‘1(%) with the 110’ axis. If 8’ moves with constant velocity 1) parallel to the x axis of another frame 3: (a) what must be the value of v if, as measured in S , the rod is at 45° to the x axis? (b) what is the length of the rod as measured in 8 under these conditions? ‘ ”l4, w+%c+m {emslbw 4 57,; 5.5% H7 L3 ‘ 3 +249: cmﬂwm‘txs a! “it. “Cindi: or“ ﬁg/Lwl, ”Ham. “l hmgﬁm “161\$ W‘lﬁmwmvls M Moth.» 35273:: 3 . ‘ééfrrka macaw: “(W , _ ‘ I Lg) W mm. Ww’f v.47; mm .‘W. %\W%‘§§VUAA\ 5:393 #5643 33\$“be "liven ﬁg: v». ;+Lm x Wtﬁmﬂ W‘l‘xai‘l“ 3W4 ~ 1 JLL) £3 {a .Su‘ké : i i ‘ ‘ ‘ : l i i r ‘ ’ L W i ”I _‘1 , i 7 7 5 1 _ 1 ' . 1 ‘ 3. Consider three galakies A, B and C. An \observer in A measures the velocities of C and B , s _- i and ﬁnds they are moving in opposite directions, each with a speed of 0.7 0 relative to her. Thus, _ _ according to measurements in her frame, the distance between them is increasing at the rate 1.4 c. i ‘ What is the speed of A observed in B? What is the speed of C observed in B? i J 1 i l y , i A _. . g" 1 I” r | 1 i 1-- i- A'. % i i E ' I E ‘ I _ (-AA .W. AAAAAA. A A .A_AAA A‘ AA-.-A.}_. - -11.. A-.. A. A...i ._ —. _...A-!‘A . -7. .. ...
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