Length Contraction and Time Dilation The special theory of relativity suggests that the length of an object moving at high speeds will be shorter than its le...
The special theory of relativity suggests that the length of an object moving at high speeds will be shorter than its length at rest. This is a consequence of the time dilation effect, which describes how time passes more slowly for objects moving at high speeds than for objects at rest.
Length Contraction:
Imagine a long stick stretched out in front of you.
If you pick up the stick and walk away from it, it will appear shorter than the original length.
This is because light has to travel a longer distance to reach your eye from the end of the stick moving away than from the end of the stick at rest.
Time Dilation:
Imagine yourself standing next to a moving train.
You will see that the train is moving away from you, so it will take longer for light from the front of the train to reach your eyes than it would if the train were standing still.
This is because light has to travel through more space to reach your eyes from the front of the moving train than from the front of the still train.
Combined Effects:
L = L_rest √(1 - v^2/c^2)
L is the length of the object at rest
L_rest is the length of the object at rest
v is the relative speed between the observer and the moving object
c is the speed of light in a vacuum