Answer
a) $kN *m$
b) $Gg/m$
c) $\mu N /s^2$
d) $GN/s$
Work Step by Step
We are given a pairs of units and asked to convert them to more appropriate SI units. Keep in mind we want any unit in the denominator to have no prefix if possible.
a) $GN *\mu m * \frac{1m}{10^6 \mu m}*\frac{10^6kN}{1GN}=kN *m$
b) $kg/\mu m*\frac{10^-6 \mu m}{1 m}*\frac{1Gg}{10^6kg}=Gg/m$
c) $N/ks^2*(\frac{1000s}{1ks})^2*\frac{10^6 \mu N}{1N}= \mu N /s^2$
d) $ kN/\mu s*\frac{10^6 \mu s}{1s}*\frac{1GN}{10^6kN}*\frac{1N}{10^6 \mu N}= GN/s$
