Essential Modern Physics Study Guide Workbook by Chris McMullen
Author:Chris McMullen [McMullen, Chris]
Language: eng
Format: azw3
Publisher: Zishka Publishing
Published: 2019-01-05T16:00:00+00:00
relative to O. The Galilean transformation relates the coordinates (t, x, y, z) and (t', x', y', z') of the two observers. If we setup our coordinate systems such that the +x- and +x'-axes are oriented along the relative velocity,
and if we start our clocks such that O and O' coincide at t = t' = 0, the Galilean transformation is:
t' = t
x' = x – vt
y' = y
z' = z
Note that vt equals the distance between the two coordinate systems at time t. To see that this Galilean transformation agrees with the Galilean relativity equation that we learned in Chapter 1, take a derivative with respect to time (noting that dt' = dt since t' = t):
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