Relative Motion: Framing Object Velocity

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SUMMARY

The discussion centers on the concept of relative motion and the addition of velocities in the context of Einstein's theory of relativity. It highlights a scenario where two objects move towards each other at 70% of the speed of light (c), leading to confusion when calculating their combined velocity, which incorrectly suggests a speed exceeding c. The key takeaway is that velocities do not add linearly in relativistic physics, contrasting with classical mechanics. This fundamental principle is essential for understanding relativistic effects in high-speed scenarios.

PREREQUISITES
  • Understanding of Einstein's theory of relativity
  • Familiarity with the concept of velocity in physics
  • Basic knowledge of the speed of light (c) and its significance
  • Comprehension of non-relativistic versus relativistic physics
NEXT STEPS
  • Study the relativistic velocity addition formula
  • Explore the implications of time dilation in high-speed travel
  • Investigate Lorentz transformations and their applications
  • Review case studies involving relativistic effects in particle physics
USEFUL FOR

Students of physics, educators teaching relativity, and anyone interested in the principles of high-speed motion and its implications in modern physics.

Edi
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So, for example, 2 objects are moving towards each other.
There is a frame where 2 object move with (for the sake of simplicity thy both move with the same velocity) the velocity V
Then there is a frame where one of the object stand still, but the other moves towards it with the velocity 2V.
That makes sense, it's what relativity is all about.

But the tricky part comes when the objects moving towards each other have the velocity, for example, 70% c
There is a frame where each one moves with 70% c (?)
There is a frame where one object stands still while other object moves with the velocity of 2*70% c = 140%c (??)

Clearly something is wrong with this, but I just can't put my finger on it...
Please teach me! ;)
 
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