Question 1.4: Represent each of the following combinations of units in the...
Represent each of the following combinations of units in the correct SI form using an appropriate prefix: (a) m/ms, (b) μkm, (c) ks/mg, and (d) km · μN.
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\text { a) } \mathrm{m} / \mathrm{ms}=\left(\frac{\mathrm{m}}{(10)^{-3} \mathrm{~s}}\right)=\left(\frac{(10)^3 \mathrm{~m}}{\mathrm{~s}}\right)=\mathrm{km} / \mathrm{s}
\text { b) } \mu \mathrm{km}=(10)^{-6}(10)^3 \mathrm{~m}=(10)^{-3} \mathrm{~m}=\mathrm{mm}
\text { c) } \mathrm{ks} / \mathrm{mg}=\left(\frac{(10)^3 \mathrm{~s}}{(10)^{-6} \mathrm{~kg}}\right)=\left(\frac{(10)^9 \mathrm{~s}}{\mathrm{~kg}}\right)=\mathrm{Gs} / \mathrm{kg}
\text { d) } \mathrm{km} \cdot \mu \mathrm{N}=\left[(10)^3 \mathrm{~m}\right]\left[(10)^{-6} \mathrm{~N}\right]=(10)^{-3} \mathrm{~m} \cdot \mathrm{N}=\mathrm{mm} \cdot \mathrm{N}
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