Galilean coordinate transformation (25-1)

Question 1 of 3

Question

Coordinates of the same event as measured in frame $S$

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Question

Inertial frame of reference $\boldsymbol{S}′$ moves at speed $\boldsymbol{V}$ in the positive $\boldsymbol{x}$ direction relative to inertial frame of reference $\boldsymbol{S}$

{"title":"Inertial frame of reference S′ moves at speed V in the positive x direction relative to inertial frame of reference S.","description":"Correct!","type":"correct","color":"#99CCFF","code":"[{\"shape\":\"poly\",\"coords\":\"82,133\"},{\"shape\":\"rect\",\"coords\":\"10,16,12,16\"},{\"shape\":\"poly\",\"coords\":\"144,22\"},{\"shape\":\"rect\",\"coords\":\"207,2,249,55\"}]"} {"title":"Coordinates of the same event as measured in frame S","description":"Incorrect","type":"incorrect","color":"#ffff00","code":"[{\"shape\":\"rect\",\"coords\":\"107,18,142,57\"},{\"shape\":\"rect\",\"coords\":\"103,86,138,139\"},{\"shape\":\"rect\",\"coords\":\"101,161,136,201\"},{\"shape\":\"rect\",\"coords\":\"96,226,124,265\"}]"} {"title":"Coordinates of an event as measured in frame S′","description":"Incorrect","type":"incorrect","color":"#00ff00","code":"[{\"shape\":\"rect\",\"coords\":\"1,22,34,56\"},{\"shape\":\"rect\",\"coords\":\"1,92,33,137\"},{\"shape\":\"rect\",\"coords\":\"2,158,28,197\"},{\"shape\":\"rect\",\"coords\":\"1,226,23,265\"}]"}

Question

Coordinates of an event as measured in frame $S′$

{"title":"Inertial frame of reference S′ moves at speed V in the positive x direction relative to inertial frame of reference S.","description":"Incorrect","type":"incorrect","color":"#99CCFF","code":"[{\"shape\":\"poly\",\"coords\":\"82,133\"},{\"shape\":\"rect\",\"coords\":\"10,16,12,16\"},{\"shape\":\"poly\",\"coords\":\"144,22\"},{\"shape\":\"rect\",\"coords\":\"207,2,249,55\"}]"} {"title":"Coordinates of the same event as measured in frame S","description":"Incorrect","type":"incorrect","color":"#ffff00","code":"[{\"shape\":\"rect\",\"coords\":\"107,18,142,57\"},{\"shape\":\"rect\",\"coords\":\"103,86,138,139\"},{\"shape\":\"rect\",\"coords\":\"101,161,136,201\"},{\"shape\":\"rect\",\"coords\":\"96,226,124,265\"}]"} {"title":"Coordinates of an event as measured in frame S′","description":"Correct!","type":"correct","color":"#00ff00","code":"[{\"shape\":\"rect\",\"coords\":\"1,22,34,56\"},{\"shape\":\"rect\",\"coords\":\"1,92,33,137\"},{\"shape\":\"rect\",\"coords\":\"2,158,28,197\"},{\"shape\":\"rect\",\"coords\":\"1,226,23,265\"}]"}

Review

This set of equations is known as the Galilean transformation. Note that the relative motion of the two frames of reference along the positive $x$ axis does not impact the measured values of the $y$ and $z$ components, which are the same in both reference frames.