Sam sees two events as simultaneous:
i.event A occurs at the point (0,0,0) at the instant 0:00:00 Universal time;
ii.event B occurs at the point (x_B,0,0) at the same moment.
Tim,moving past Sam with a velocity of (0.998 c) ",also observes the two events and sees that event B happened 3.74 µs after event A. Then x_B is

Question

Quizplus · Accepted Answer

The correct answer is A because the time dilation formula is:Δt' = Δt / γwhere Δt' is the time interval measured by the moving observer, Δt is the time interval measured by the stationary observer, and γ is the Lorentz factor. In this case, Δt' = 3.74 µs and Δt = 0 s, so γ = 1 / Δt' = 1 / 3.74 µs = 267.4. The Lorentz factor is given by:γ = 1 / sqrt(1 - v^2 / c^2)where v is the velocity of the moving observer and c is the speed of light. In this case, v = 0.998 c, so:γ = 1 / sqrt(1 - 0.998^2) = 267.4The distance between the two events is given by:x = vΔtwhere x is the distance between the two events, v is the velocity of the moving observer, and Δt is the time interval measured by the moving observer. In this case, v = 0.998 c and Δt = 3.74 µs, so:x = 0.998 c * 3.74 µs = 71.1 mTherefore, the correct answer is A.

Sam Sees Two Events as Simultaneous