The figure illustrates two observers at the origins O and O' of two reference frames S and S' respectively. The reference frames are in relative motion (S' frame is moving to the right) at constant velocity v along the common y-y’ axis. Which of the following is not the correct Galilean spacetime coordinate transformation of an event that occurs at point P?

Select one:



'
=


;



'
=


;



'
=


,


=

'




'
=

;


'
=

-


;

'
=

;

=

'



'
=


;



'
=


+

;



'
=




=

'



'
=


;



'
=


-

;



'
=


,


=

'

3 answers

The correct answer is:



'
=


+

;

This is not the correct Galilean spacetime coordinate transformation of an event that occurs at point P. The correct transformation is:

x' = x - vt
y' = y
z' = z
t' = t

where (x,y,z,t) are the coordinates in frame S and (x',y',z',t') are the coordinates in frame S'. The incorrect option given above has a plus sign instead of a minus sign in the x-coordinate transformation, which is incorrect for Galilean transformations.
The figure illustrates two observers at the origins O and O' of two reference frames S and S' respectively. The reference frames are in relative motion (S' frame is moving to the right) at constant velocity v along the common y-y’ axis. Which of the following is not the correct Galilean spacetime coordinate transformation of an event that occurs at point P?
Idon no