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Here is one of my favorites.This
Given a box full of some uniform object (paper clips, bb's, drinking
straws, etc.). Find the mass of one object without counting. Slowly
dropping paper clips onto as scale (tink, tink, tink) is counting.
models some of the thinking behind Millikan's oil drop experiment.
Another one I use that is full of things for my students to think
about.
Given the specific heat of water and a good calorimeter, find the
heat of fusion and the heat of vaporization of ice.
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