Question 1.11: Evaluate each of the following to three significant figures ...
Evaluate each of the following to three significant figures and express each answer in Sl units using an appropriate prefix:
(a) 354 mg(45 km) (0.0356 kN), (b) (0.004 53 Mg) (201 ms), and (c) 435 MN/23.2 mm.
\begin{aligned}a) (354 mg )(45 km ) /(0.0356 kN )&=\frac{\left[354\left(10^{-3}\right) g \right]\left[45\left(10^3\right) m \right]}{0.0356\left(10^3\right) N } \\&=\frac{0.447\left(10^3\right) g \cdot m }{ N } \\&=0.447 kg \cdot m / N\end{aligned}
\begin{aligned}b) (0.00453 Mg )(201 ms )&=\left[4.53\left(10^{-3}\right)\left(10^3\right)kg\right]\left[201\left(10^{-3}\right) s \right] \\&=0.911 kg \cdot s\end{aligned}
c) 435 MN / 23.2 mm =\frac{435\left(10^6\right) N} {23.2\left(10^{-3}\right) m }=\frac{18.75\left(10^9\right) N }{ m }=18.8 GN / m
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