ericmazur / PnPbook

Tracking of typos, errors, and improvements for "The Principles and Practice of Physics"
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brittle definition of "elastic" #113

Open JohnDenker opened 8 years ago

JohnDenker commented 8 years ago

In section 8.6 on page 185 it says

As long s the deformation is reversible, the force exerted by a compressed or stretched spring is called an elastic force.

Alas, in physics the word "elastic" has two different meanings, and I cannot figure out which meaning we are trying to define here.

  1. The concept of "elastic limit" of a spring means there is no permanent deformation.
  2. The concept of "elastic collision" means the process is thermodynamically reversible. No entropy is created.

In the context of section 8.6, it is common for springs and exceedingly common for ropes to have a great deal of internal friction, even in situations where the elastic limit has not been exceeded.

Specific suggestions:

One of the few pedagogical principles that people actually agree on says learning proceeds from the known to the unknown. It does no good to define thing B in terms of thing A unless the students have a firm prior understanding of thing A ... and in this case the students do not have a clear idea of what "reversibility" means ... certainly not one that is sufficient for present purposes.

In any case it doesn't make sense to define elasticity with one meaning and then use the term with the other meaning.