Conservation of Mechanical Energy

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SUMMARY

The discussion centers on the principle that velocity is independent of mass, emphasizing that mass is defined as the amount of matter in an object and does not change with speed. Participants clarify that while classical mass remains constant, relativistic mass can vary with velocity in different frames of reference. The conversation also touches on the conservation of energy, illustrating that a smaller object must move faster to possess the same energy as a larger object moving slower, as described by the equation E = mv².

PREREQUISITES
  • Understanding of classical mechanics concepts
  • Familiarity with the conservation of energy principle
  • Basic knowledge of relativity and mass-energy equivalence
  • Proficiency in algebraic manipulation of equations
NEXT STEPS
  • Study the implications of E = mc² in relativistic physics
  • Explore the differences between rest mass and relativistic mass
  • Investigate the conservation of momentum in collisions
  • Learn about kinetic energy calculations in classical mechanics
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Students of physics, educators teaching mechanics, and anyone interested in the principles of energy conservation and mass in both classical and relativistic contexts.

phy21050
Would someone please explain the concept to me that Velocity is independent of mass. Thank you for your time. It is preferred that you email me a response.
 
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What? (Hey, I'm not being as insulting as ottjes!)

That's like asking asking us to explain why mass is independent of position or why mass is independent of color. Mass is DEFINED as a measure of the amount of matter in an object. Changing speed does not change the amount of matter in an object.



(You asked for an explanation of the concept of mass being INDEPENDENT of velocity. A more interesting question would be why, in relativity mass DOES depend on velocity. {The "classical" mass which in relativy would be rest-mass DOESN'T, the mass as measured from another frame depends on the velocity relative to that frame.})
 
Halls, looks like he's talking about conservatin of energy and how it relates to mass.

Phy, you're asking about E = m v^2, right? Or how an object moving at one speed can hit another object, causing it to move at a different speed? Quite simply, energy is conserved, so for a smaller object to have the same energy, it must move faster and vice versa.
 

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