Question

1. Two events occur in an inertial system O as follows:

Event 1:  x₁=0, y₁=0, z₁=0, t₁=0 s

Event 2:  x₂=2.50 c^.s, y₂=0, z₂=0, t₂=1.75 s

1. Describe the motion of a frame O’ with respect to O in which these events appear to be simultaneous.  Explain your answer.
2. Describe the motion of a frame O’ with respect to O in which these events appear to happen at the same place.  Explain your answer.
3. What values do Δs²and Δs’²have for these two events in O and in O’ from part (a)?

[where ]

Answer 1

Solution Event Event 2: Z, 0,4,eOs Ca) To describe in ushich the motien ok o' wtth respeet these evemts to appear simultenous Y t - v1 2 t-th ty- vi2 Yti-V -Y c2 -th For simultancous in o t2 Y VIZ - VXI Y t2-Vaz ti 2,-217 t2-t 175-0 [०-১5 तो 1.75 2,5 V O.70 2 50 2oving o' is with elaity o.7C Lotth rasbeet to So events willappear simullenons that So Cb) the motion ok o oith respect to describe which thase events in oppeas at same plaes vt

t]- -vt] vt2 For place in o Same -Vt-, Y Y -vt2 1-Vti t2- ti V I.75-0 [2.5C.5.-0 C.S.-O V 2.5 C I75 428C ptace in which is greales that is not possible Here for these happer even to at Same velocity of is than peed of ight 1,428 C in is AS2 AS = Jasc.-0 AS + 00+ (7Se0)2 AS2 3.05 C.S. A S in o' is As - +C -2 C-i from part Ca) amd r (2-vt) -Co.7 1705 C.S

(t.785S.0) 0+0 o So 785 C.S. (T