Proof of 2v Velocity When Gun Fired Aboard Plane

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Discussion Overview

The discussion revolves around the scenario of a gun firing a bullet aboard a plane, specifically examining the velocity of the bullet relative to the plane's motion. Participants explore the implications of Newton's Laws of motion and Galilean transformations in this context.

Discussion Character

  • Exploratory
  • Technical explanation
  • Mathematical reasoning

Main Points Raised

  • One participant poses a question about proving that the bullet's velocity becomes 2v when fired from a plane moving at velocity v.
  • Another participant references Galilean transformations, noting their applicability under the condition that v is much less than the speed of light (v << c).
  • A subsequent post reiterates the reference to Galilean transformations while emphasizing the need for a simple proof based on Newton's Laws of motion.
  • It is mentioned that Newton's laws remain invariant under Galilean transformations, suggesting a connection to the original question about velocity.

Areas of Agreement / Disagreement

Participants do not reach a consensus on a simple proof for the bullet's velocity, and multiple perspectives regarding the application of Newton's Laws and Galilean transformations are presented.

Contextual Notes

There are limitations regarding the assumptions made about the velocities involved and the conditions under which the laws are applied, particularly the condition v << c.

eddie
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If a gun fires a bullet at a velocity v and is then taken aboard a plane traveling at a velocity v and is fired again in the direction of travel ,what is the simplest proof that the bullet's new velocity is now 2v ?
 
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Newton's laws are invariant under a Galilean transformation.
 

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