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(*) Force on the step from the pressure

Compute the force on the step (in terms of N, tex2html_wrap_inline468 , and k) using the pressure term from the continuity equation for momentum. Explain physically the choice in signs which enables you to get the correct direction for the force on the step.

Hint: The continuity equation which you derived on Problem Set 7 for momentum may be rewritten in the form

displaymath506

where the momentum density of the particles is

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the pressure term is

displaymath510

and tex2html_wrap_inline512 is the local force, and tex2html_wrap_inline514 is the probability density.



Prof. Tomas Alberto Arias
Fri Apr 25 11:25:10 EDT 1997