Two particles accelerating towards each other

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    Accelerating Particles
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Discussion Overview

The discussion revolves around the scenario of two large objects, specifically stars, accelerating towards each other in a closed system. Participants explore the implications of their acceleration, particularly concerning the speed of light and the effects of relativistic physics on their motion.

Discussion Character

  • Exploratory
  • Technical explanation
  • Debate/contested

Main Points Raised

  • One participant questions what would happen if two stars, initially at rest and a substantial distance apart, were allowed to accelerate towards each other, wondering why they cannot reach the speed of light.
  • Another participant asserts that material bodies cannot be accelerated to the speed of light due to mass increase as they approach relativistic speeds.
  • A participant suggests that the relative velocity of the two bodies would asymptotically approach the speed of light (c) and inquires about experimental data to confirm this behavior.
  • Another reply confirms that there is experimental data supporting the idea of asymptotic velocity approaching c, mentioning "mass dilation" as a relevant topic.

Areas of Agreement / Disagreement

Participants express differing views on the implications of relativistic effects on the acceleration of massive bodies, with some agreeing on the asymptotic nature of their velocities while others emphasize the limitations imposed by relativistic mass increase. The discussion remains unresolved regarding the specifics of the scenario and the implications of the findings.

Contextual Notes

There are limitations in the assumptions made about the system, such as the nature of the forces involved and the definitions of mass and velocity in relativistic contexts. The discussion does not resolve the mathematical or physical details surrounding these concepts.

robocop
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So I'm new here, hopefully I'll post a lot more in the future. Anywho, not sure if this is the right place but I've been wondering about what would happen under a given scenario. Say that you have two large objects of mass such as 2 stars a substantial distance x away from each other. Take them initially at a state of rest and in a closed system. If you release them and allow them to freely accelerate to one another their speeds will continually increase from a neutral observant point. So, what happens if the objects are large enough and far enough away that they accelerate to the speed of light. I don't know what is stopping them from going faster, theoretically as they get closer the force attracting them should only increase and it's not like the force goes away as they get closer.
 
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robocop said:
So I'm new here, hopefully I'll post a lot more in the future. Anywho, not sure if this is the right place but I've been wondering about what would happen under a given scenario. Say that you have two large objects of mass such as 2 stars a substantial distance x away from each other. Take them initially at a state of rest and in a closed system. If you release them and allow them to freely accelerate to one another their speeds will continually increase from a neutral observant point. So, what happens if the objects are large enough and far enough away that they accelerate to the speed of light. I don't know what is stopping them from going faster, theoretically as they get closer the force attracting them should only increase and it's not like the force goes away as they get closer.

Welcome to the PF. Material bodies cannot be accelerated to the speed of light, because their mass increases as they approach relativistic speeds:

http://math.ucr.edu/home/baez/physics/Relativity/SR/mass.html

.
 
so what would happen is that the relative velocity of the two bodies would asymptotically approach c. Is there experimental data to confirm that this would happen.
 
robocop said:
so what would happen is that the relative velocity of the two bodies would asymptotically approach c. Is there experimental data to confirm that this would happen.

Yes, lots. The subject is "mass dilation", so just do a google search on that to find lots of info.
 
berkeman said:
Yes, lots. The subject is "mass dilation", so just do a google search on that to find lots of info.

thanks for the help. I've got some knowledge from back when I was slacking off in engineering. Considering going back for EP, testing the waters so to speak.
 

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