# Problem 1-4| General Principles| Engineering Mechanics: Statics| RC Hibbeler

#### 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.

Solution:

a) $m/ms=\left(\frac{m}{10^{-3}\:s}\right)=10^3\:m/s=\:km/s$

b) $\mu km=10^{-6}\cdot 10^3\:m=10^{-3}\:m=mm$

c) $ks/mg=\frac{10^3\:s}{10^{-6}\:kg}=10^9\:\frac{s}{kg}=Gs/kg$

d) $km\cdot \mu N=10^3\:m\cdot 10^{-6}\:N\:=10^{-3}\:m\cdot N=mm\cdot N$