Question

Consider the two observers o and o at the origins of the frames of reference s and s respectively,which are in relative motion at constant velocity v along the x-axis as illustrated in figure TMA1 fig1 suppose the origins o and o as well as the axes of the coordinates of these frames are coincident at an initial time t=t=o.The two observers are equipped with measuring instruments to determined the coordinates of the event at p. measurements made in the s frame are related to those made in the s by the following except?
a)x=x-vt
b)y=y
c)t=t
d)z=z+vt

Answer 1

Answer on Question #59700- Physics – Mechanics | Relativity

Consider the two observers O and O' at the origins of the frames of reference S and S' respectively, which are in relative motion at constant velocity v along the x-axis as illustrated in figure TMA 1_Fig1. Suppose the origins O and O' as well as the axes of the coordinates of these frames are coincident at an initial time $t = t' = 0$ . The two observers are equipped with measuring instruments to determine the coordinates of the event at P. Measurements made in the S frame are related to those made in the S' by the following EXCEPT

$$x ^ {\prime} = x - v t$$ $$y ^ {\prime} = y$$ $$t ^ {\prime} = t$$ $$z ^ {\prime} = z + v t$$

Solution

Measurements made in the S frame are related to those made in the S' by the following EXCEPT $z' = z + vt$ . It is because the relative motion at constant velocity $v$ along only the x-axis. Thus,

$$z ^ {\prime} = z$$

Answer: $z' = z + vt$ .

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