Acceleration in special theory of relativity

  • #1
LagrangeEuler
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In a inertial frame of reference ##S## body accelerate with constant acceleration ##a##. Can then exist inertial frame of reference ##S'## which moves with speed ##u## relative to ##S## in which body does not accelerate? And why?
 

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  • #2
weirdoguy
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No. If it does not accelerate in S' then it moves with constant velocity with respect to that frame. Transforming that velocity to S yields another constant velocity. And that is in contradiction with body being accelerated.
That is true in both SR and non-relativistic mechanics.
 
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  • #3
Vanadium 50
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Can such a thing hgappen in Newtonian mechanics? If not, what does Relativity change?
 
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  • #4
LagrangeEuler
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Thanks. And can exist inertial frame of reference ##S'## in which acceleration is not constant if in the system ##S## acceleration is constant?
 
  • #5
PeroK
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Thanks. And can exist inertial frame of reference ##S'## in which acceleration is not constant if in the system ##S## acceleration is constant?
Is that something you could work out for yourself? Using the transformation of acceleration from one frame to another, perhaps.
 
  • #6
LagrangeEuler
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I think that if one system acceleration is constant in the system that moves with velocity ##u## relative to this one acceleration will not be constant, because in formula for acceleration is velocity of moving object that changes from point to point.
 
  • #7
PeroK
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I think that if one system acceleration is constant in the system that moves with velocity ##u## relative to this one acceleration will not be constant, because in formula for acceleration is velocity of moving object that changes from point to point.
Yes, exactly.
 
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