Question

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:

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=
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;

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=
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;

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=
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,

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=
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;

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=
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-
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;
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=
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;
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=
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'


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=
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;

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=
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+
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;

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=
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=
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'


�
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=
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;

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=
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-
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;

�
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=
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,

�
=
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'

Answer 1

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?

Answer 2

Idon no

Answer 3

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.