Proof of 2v Velocity When Gun Fired Aboard Plane

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SUMMARY

The discussion centers on proving that a bullet fired from a gun aboard a plane traveling at velocity v achieves a new velocity of 2v when fired in the direction of travel. This proof relies on Newton's Laws of motion and the principles of Galilean transformation, applicable when the velocities involved are much less than the speed of light (v << c). The participants emphasize the simplicity of the proof using these foundational concepts in classical mechanics.

PREREQUISITES
  • Understanding of Newton's Laws of motion
  • Familiarity with Galilean transformation
  • Basic knowledge of classical mechanics
  • Concept of relative velocity
NEXT STEPS
  • Study the principles of Galilean transformation in depth
  • Explore Newton's Laws of motion and their applications
  • Investigate the concept of relative velocity in various frames of reference
  • Review classical mechanics textbooks for practical examples and proofs
USEFUL FOR

This discussion is beneficial for physics students, educators, and anyone interested in classical mechanics and the application of Newton's Laws in real-world scenarios.

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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