\(\def \u#1{\,\mathrm{#1}}\) \(\def \abs#1{\left|#1\right|}\) \(\def \ast{*}\) \(\def \deg{^{\circ}}\) \(\def \tau{\uptau}\) \(\def \ten#1{\times 10^{#1}}\) \(\def \redcancel#1{{\color{red}\cancel{#1}}}\) \(\def \BLUE#1{{\color{blue} #1}}\) \(\def \RED#1{{\color{red} #1}}\) \(\def \PURPLE#1{{\color{purple} #1}}\) \(\def \th#1,#2{#1,\!#2}\) \(\def \lshift#1#2{\underset{\Leftarrow\atop{#2}}#1}}\) \(\def \rshift#1#2{\underset{\Rightarrow\atop{#2}}#1}}\) \(\def \dotspot{{\color{lightgray}{\circ}}}\) \(\def \ccw{\circlearrowleft}\) \(\def \cw{\circlearrowright}\)
Appendix A: Miscellany
3.

SI Units

The metric system defines a small set of base units which can be combined to form all other needed units in a second way. For instance, the base unit of length is the meter (m) and the base unit of time is the second (s). The unit for speed is m/s, which is called a derived unit because it is built up of multiple base units.

The original metric system defines the gram (g) as the base unit for mass. However, the gram is really too small for day-to-day use, and so most physicists use what is called the MKS (meter-kilogram-second) system of units, also known as SI units. (SI stands for Systeme Internationale in French).

There are seven base units in the SI system, but we will only use five in this textbook:

The other two base units are the mole for the amount of substance (which often comes up in chemistry) and the candela (cd) for luminous intensity.

All other units are combinations of these five, although the combinations themselves frequently have names. For example,

The nice thing about the SI system is that, so long as you consistently use SI units and you use equations correctly, then your answer will automatically have the correct SI units.