Energy Lost during elastic collision.

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SUMMARY

The discussion centers on the concept of energy loss during elastic collisions, specifically addressing a statement regarding the energy lost being equal to ½μνr², where μ represents the reduced mass and νr is the relative velocity. The consensus is that this statement is false for elastic collisions, as they are defined by the conservation of kinetic energy. The confusion arises from the answer key, which incorrectly categorizes the statement as true, when it is actually applicable to inelastic collisions where masses stick together.

PREREQUISITES
  • Understanding of elastic and inelastic collisions
  • Familiarity with the concept of reduced mass
  • Knowledge of kinetic energy conservation principles
  • Basic grasp of relative velocity in physics
NEXT STEPS
  • Study the principles of elastic and inelastic collisions in detail
  • Learn about the calculation and application of reduced mass in collision problems
  • Explore kinetic energy conservation in various collision scenarios
  • Investigate the implications of relative velocity in multi-body systems
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Students studying physics, educators teaching mechanics, and anyone interested in understanding the principles of collisions and energy conservation.

orientor

Homework Statement

.

True or False:[/B]
For a completely elastic collision of two isolated masses the energy lost is
½μνr2
Where μ is the reduced mass of the system and νr is the magnitude of relative velocity between the two particles.

Homework Equations

The Attempt at a Solution


Elastic collision is defined as collision in which no energy is lost. So the answer should be false. But the answer in the answer key is true. So what is the error?
 
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The error is in the answer key. The statement is True for an inelastic collision in which the masses stick together.
 
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