일반물리학 2 — Relativity: Problem 58

58 In Fig. 37-20a, particle P is to move parallel to the x and x' axes of reference frames S and S', at a certain velocity relative to frame S. Frame S' is to move parallel to the x axis of frame S at velocity v. Figure 37-20b gives the velocity u' of the particle relative to frame S' for a range of values for v. The vertical axis scale is set by \( u'_a = 0.800c \). What value will u' have if (a) v = 0.95c and (b) \( v \to c \)?