Work done on a rigid body in a collision

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SUMMARY

The discussion centers on the application of the work-kinetic energy theorem in the context of a rigid ball colliding elastically with a wall. Participants clarify that during the collision, the wall does not move, leading to the conclusion that no external work is done on the ball. Instead, all energy changes are internal to the ball, challenging the applicability of the theorem. The conversation emphasizes the importance of understanding the system boundaries and the nature of forces involved in analyzing momentum and energy conservation during collisions.

PREREQUISITES
  • Newtonian Mechanics principles
  • Understanding of elastic collisions
  • Concept of internal vs. external forces
  • Work-energy theorem in classical mechanics
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  • Study the implications of the work-energy theorem in non-rigid body collisions
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Physics students, educators, and professionals interested in classical mechanics, particularly those focusing on collision dynamics and energy conservation principles.

  • #31
Doc Al said:
It applies wherever Newton's laws hold, which I would not describe as having limited utility.
It's a useful theorem, but different than conservation of energy.
I'm not talking about conservation of energy. I'm talking about a version of a work-kinetic energy theorem (if it exists in enlish language) which is valid for systems of particles and, as a special case of this, for rigid bodies (that is a system of particles where the mutual distances between them is constant, so the work done by internal forces is zero).

So it's easy to prove (matt helped me in this) that, for a rigid body, the total work done by the external forces is equal to the kinetic energy variation of the body. Here "work" means "real work" and "kinetic energy" means "total kinetic energy" so even rotational kinetic energy.

For example In italian language is called "Teorema delle forze vive" or "Teorema dell'energia cinetica" for systems of particles or for rigid bodies as a special case; maybe in english language it has a different name than "work-kinetic energy theorem".

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lightarrow
 
Last edited:
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  • #32
lightarrow said:
I'm not talking about conservation of energy. I'm talking about a version of a work-kinetic energy theorem (if it exists in enlish language) which is valid for systems of particles and, as a special case of this, for rigid bodies (that is a system of particles where the mutual distances between them is constant, so the work done by internal forces is zero).
The theorem I described, which is usually called the work-energy theorem, is valid for systems of particles.
 

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