4. Two events, A and B, are observed in two different inertial frame, S, and S. Event A occurs at the spacetime origin in both frames, S XA = YA ZA = Ct₁ = 0 X'A=Y'A = Z'A = ct'A = 0 Event B occurs at Xs=√12, y = Z8 = 0, cta = 4.00 (all distances are in meters) as observed in 5. X's=3.00, y's=z'a = 0 (all distances are in meters) as observed in S. (AS)² = (cot³)²-(Ox)² - (as) = (co²) - (oxº) ² (a) What time does event B occur in S'? (b) What is the relative velocity between S and S'? (c) What is the shortest time separation between the two events in any inertial time frame?
4. Two events, A and B, are observed in two different inertial frame, S, and S. Event A occurs at the spacetime origin in both frames, S XA = YA ZA = Ct₁ = 0 X'A=Y'A = Z'A = ct'A = 0 Event B occurs at Xs=√12, y = Z8 = 0, cta = 4.00 (all distances are in meters) as observed in 5. X's=3.00, y's=z'a = 0 (all distances are in meters) as observed in S. (AS)² = (cot³)²-(Ox)² - (as) = (co²) - (oxº) ² (a) What time does event B occur in S'? (b) What is the relative velocity between S and S'? (c) What is the shortest time separation between the two events in any inertial time frame?
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
Transcribed Image Text:4. Two events, A and B, are observed in two different inertial frame, S, and S. Event A occurs at the spacetime
origin in both frames,
XAYA = ZA = CtA = 0
X'A=Y'A = Z'A = ct'A = 0
Event B occurs at
X = √12, ya = Z8 = 0, cta = 4.00 (all distances are in meters) as observed in S.
X's=3.00, y's=z'a = 0 (all distances are in meters) as observed in S'.
(AS)² = (cot³)²-(ox)²-
(as) = (cot) - (oxº) ²
(a) What time does event B occur in S'?
(b) What is the relative velocity between S and S'?
(c) What is the shortest time separation between the two events in any inertial time frame?
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