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sweet springs
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Is there a way to explain Lorentz contraction on space-time diagrams ?
I cannot find a way by myself. Your teaching will be appreciated.
I cannot find a way by myself. Your teaching will be appreciated.
sweet springs said:Is there a way to explain Lorentz contraction on space-time diagrams ?
I cannot find a way by myself. Your teaching will be appreciated.
sweet springs said:Thanks.
In your drawing you set $$v=\frac{c}{2}$$.
I read
$$L'=2.6*\sqrt{5}= 5.81 cm$$
$$L=4 cm$$
Thus the formula in the drawing gives $$v=0.73c$$ ?
I am not sure of my reading. I should appreciate your teaching.
sweet springs said:Is there a way to explain Lorentz contraction on space-time diagrams ?
I cannot find a way by myself. Your teaching will be appreciated.
The others provided good links on the standard Minkowski space-time diagrams.sweet springs said:Is there a way to explain Lorentz contraction on space-time diagrams ?
PeroK said:I'm not sure where you are getting those numbers from.
sweet springs said:Thanks.
In your drawing you set $$v=\frac{c}{2}$$.
I read
$$L'=2.6*\sqrt{5}= 5.81 cm$$
$$L=4 cm$$
Thus the formula in the drawing gives $$v=0.73c$$ ?
Lorentz contraction is a phenomenon in which an object appears shorter in the direction of its motion when observed by an observer at rest. This is a consequence of the theory of special relativity, which states that the laws of physics are the same for all observers in uniform motion.
A space-time diagram is a graphical representation of the relationship between space and time. It shows the position of an object in space at different points in time. In the context of Lorentz contraction, a space-time diagram can be used to illustrate how an object's length appears to change when it is moving at high speeds.
Lorentz contraction occurs because of the time dilation effect in special relativity. As an object approaches the speed of light, time slows down for that object, causing its length to appear shorter to an observer at rest.
Yes, Lorentz contraction has been observed and verified through experiments, such as the famous Michelson-Morley experiment. It has also been confirmed through various technological applications, such as particle accelerators and GPS systems.
Yes, Lorentz contraction is only significant for objects moving at speeds close to the speed of light. At everyday speeds, the effect is too small to be observed. However, it is taken into account in many scientific and technological applications, such as satellite communication and particle physics experiments.