Problems are listed in approximate order of difficulty. A single dot (•) indicates straightforward problems involving just one main concept and sometimes requiring no more than substitution of numbers in the appropriate formula. Two dots (••) identify problems that are slightly more challenging and usually involve more than one concept. Three dots (•••) indicate problems that are distinctly more challenging, either because they are intrinsically difficult or involve lengthy calculations. Needless to say, these distinctions are hard to draw and are only approximate.
• The two frames S and S′ are in the standard configuration (origins coincident at t = t′ = 0, x and x′ axes parallel, and relative velocity along Ox). Their relative speed is 0.5c. An event occurs on the x axis at x = 10 light-seconds (a light-second is the distance traveled by light in one second, 1 c · sec = 3 × 108 m) at time t = 4 s in the frame S. What are its coordinates x′, y′, z′, t′ as measured in S′?
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