B8] This question concerns two inertial frames S and S' with origins coinciding at t = t' = 0, and a set of events taking place along the x-axis, which defines the direction of relative motion. a) The coordinates of event A in frame S are x = 12 m and t = 8x10- s. If the coordinates of this event in frame S' are x' = -3 m and t' = 7× 10-8 s, show that the y factor for transformations between S and S' is 5/4. b) Events B and C take place in S' at a time t' = 6 × 10-8 s at x' = 1 m and x' = 2 m respectively. What is their spatial separation in frame S? %3D c) Event D takes place in S' at t' = 3 x 10s and x' = 1 m. What is %3D %3D the time difference between events B and D in S?
B8] This question concerns two inertial frames S and S' with origins coinciding at t = t' = 0, and a set of events taking place along the x-axis, which defines the direction of relative motion. a) The coordinates of event A in frame S are x = 12 m and t = 8x10- s. If the coordinates of this event in frame S' are x' = -3 m and t' = 7× 10-8 s, show that the y factor for transformations between S and S' is 5/4. b) Events B and C take place in S' at a time t' = 6 × 10-8 s at x' = 1 m and x' = 2 m respectively. What is their spatial separation in frame S? %3D c) Event D takes place in S' at t' = 3 x 10s and x' = 1 m. What is %3D %3D the time difference between events B and D in S?
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