Problem 1: Show that the spacetime coordinates of an event seen in two reference frames moving at a velocity v relative to each other in the z-direction are related by the Lorentz transformation x' y' = y z' = y(z – vt) %3D - ť = y(t – vz/c²) where 1 VI- (v/c)² * 1 – |

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Problem 1: Show that the spacetime coordinates of an event seen in two reference frames
moving at a velocity v relative to each other in the z-direction are related by the Lorentz
transformation
x'
y' = y
z' = y(z – vt)
%3D
-
ť = y(t – vz/c²)
where
1
VI- (v/c)² *
1 –
|
Transcribed Image Text:Problem 1: Show that the spacetime coordinates of an event seen in two reference frames moving at a velocity v relative to each other in the z-direction are related by the Lorentz transformation x' y' = y z' = y(z – vt) %3D - ť = y(t – vz/c²) where 1 VI- (v/c)² * 1 – |
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