Special Relativity and length contraction

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SUMMARY

The discussion centers on the concept of length contraction in the context of Special Relativity. A meter stick moving at high speed appears shorter to an observer, with the proper length being the length measured by an observer in the same frame of reference as the object. In this case, the proper length of the meter stick is one meter, while it is measured as 1.00 ft by a stationary observer. This highlights the effects of relativistic speeds on measurements of length.

PREREQUISITES
  • Understanding of Special Relativity principles
  • Familiarity with the concept of proper length
  • Basic knowledge of measurement units (meters and feet)
  • Concept of relative motion in physics
NEXT STEPS
  • Study the Lorentz transformation equations
  • Learn about the implications of relativistic speeds on time dilation
  • Explore practical examples of length contraction in high-speed scenarios
  • Investigate the historical experiments that confirmed Special Relativity
USEFUL FOR

Students of physics, educators teaching Special Relativity, and anyone interested in the implications of high-speed motion on physical measurements.

ledhead86
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A meter stick moves past you at great speed. Its motion relative to you is parallel to its long axis.

If you measure the length of the moving meter stick to be 1.00 ft (1ft=.3048 m), for example by comparing it to a one-foot ruler that is at rest relative to you, at what speed is the meter stick moving relative to you?


The only thing I can figure out is that one foot is the proper length. I'm completely confused about the rest.
 
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OK, here's a hint: This is a problem in length contraction.

What do you know about length contraction?
 
ledhead86 said:
The only thing I can figure out is that one foot is the proper length.


No, the proper length is the length that would be measured by someone who is moving along with the meter stick (like a witch riding a broomstick :devil: ). So the proper length of a meter stick is one meter.
 

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