The paper “Why Multiply by g”1 is a very timely topic, but it is often debated on various forums. The detractors always point out that N/kg is the same as kg·m/s2. While true, students don't pay attention to this and the g expressed as an acceleration confuses them. Unfortunately most standard texts present g as an acceleration.
But this topic has already been researched by the UM-PERG group at the University of Massachusetts, Amherst. They published the series of texts “Minds on Physics,” and this series always gives g as 9.8 N/kg, or more often rounds it to 10 N/kg. They explicitly state in the voluminous teacher's manual that using confuses the heck out of students. In either case the equation really comes from Newton's general gravitational equation, and not from...