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Many authors say that N's 3rd law pair forces do not cancel because they
are acting on different (i.e. opposite) objects. Randy Knight, in his new
PER-based textbook, says, in his discussion of conservation of momentum,
that
\vec{F}_{k on j} + \vec{F}_{j on k} = \vec{0}. Is the discrepancy between
these two statements real or imagined?
both or neither of these statements? I have told students that we don't
even add forces on different objects together; should I not have? What's
the best pedagogical approach to this? Further comments?