Understanding the Relationship Between Total Work and Mass-Velocity in Mechanics

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SUMMARY

The equation Wtotal = 1/2(m1+m2)v² is a misinterpretation of the work-energy principle in mechanics. The correct application of this principle requires understanding the context in which total work is calculated, specifically the relationship between mass, velocity, and kinetic energy. The equation applies under specific conditions, such as when two masses are combined and moving together, but it is not universally applicable without proper context.

PREREQUISITES
  • Understanding of the work-energy principle in classical mechanics
  • Familiarity with kinetic energy equations
  • Basic knowledge of mass and velocity relationships
  • Concept of total mechanical energy
NEXT STEPS
  • Study the work-energy theorem in detail
  • Learn about kinetic energy calculations for multiple bodies
  • Explore the implications of mass-velocity relationships in mechanics
  • Investigate scenarios where the total work equation applies
USEFUL FOR

Students of physics, educators teaching mechanics, and anyone interested in the principles of work and energy in physical systems.

elementG
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General "Work" question

I was just wondering how can Wtotal = 1/2(m1+m2)v2?
 
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elementG said:
I was just wondering how can Wtotal = 1/2(m1+m2)v2?
Perhaps if your explained a little more about the circumstances, we could help you out, because in general the above equation is not true.
 

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