Frame K' moves in the x direction with velocity v relative to frame K. The origins and axes e frames coincide at t = t' = 0. In frame K, event 1 occurs at coordinates (x₁, V₁, Z₁, Ct₁) = (1, 0), and event 2 occurs at coordinates (X2, V2, Z2, Ct₂) = (4, 0, 0, 5). ) Is the interval between the two events timelike, spacelike, or lightlike? ) Is there a frame K' in which the two events occur at the same spatial location? If so, find t velocity of frame K' relative to frame K, and also find the time interval between the t events in frame K'. If there is no such frame, explain why not. Is there a frame K" in which the two events occur at the same time? If so, find the velod of frame K" relative to frame K, and also find the spatial separation between the two ever in frame K". If there is no such frame, explain why not.
Frame K' moves in the x direction with velocity v relative to frame K. The origins and axes e frames coincide at t = t' = 0. In frame K, event 1 occurs at coordinates (x₁, V₁, Z₁, Ct₁) = (1, 0), and event 2 occurs at coordinates (X2, V2, Z2, Ct₂) = (4, 0, 0, 5). ) Is the interval between the two events timelike, spacelike, or lightlike? ) Is there a frame K' in which the two events occur at the same spatial location? If so, find t velocity of frame K' relative to frame K, and also find the time interval between the t events in frame K'. If there is no such frame, explain why not. Is there a frame K" in which the two events occur at the same time? If so, find the velod of frame K" relative to frame K, and also find the spatial separation between the two ever in frame K". If there is no such frame, explain why not.
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Transcribed Image Text:3. Frame K' moves in the x direction with velocity v relative to frame K. The origins and axes of
the frames coincide at t = t' = 0. In frame K, event 1 occurs at coordinates (x₁, V₁, Z₁, Ct₁) = (1, 0,
0, 0), and event 2 occurs at coordinates (x2, V2, Z2, Ct₂) = (4, 0, 0, 5).
(a) is the interval between the two events timelike, spacelike, or lightlike?
(b) Is there a frame K' in which the two events occur at the same spatial location? If so, find the
velocity of frame K' relative to frame K, and also find the time interval between the two
events in frame K'. If there is no such frame, explain why not.
(c) Is there a frame K" in which the two events occur at the same time? If so, find the velocity
of frame K" relative to frame K, and also find the spatial separation between the two events
in frame K". If there is no such frame, explain why not.
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