9-45 할리데이 11판 솔루션 일반물리학

$$\put\begin{cases} s:\text{Ship}\\ g:\text{Exhaust Gas} \end{cases}$$ $$\begin{cases} v_{i}&=400\ut{m/s}\\ \Delta v_s&=+2.2\ut{m/s}\\ v_{g\larr s}&=-1000\ut{m/s}\\ \end{cases}$$ $$\begin{aligned} v_{g\larr s}&=v_g-v_s \end{aligned}$$ $$\Delta \Sigma \vec p=0,$$ $$\begin{aligned} (m_s+m_g)v_i&=m_sv_{sf}+m_gv_{gf} \end{aligned}$$ $$\begin{aligned} \frac{m_g}{m_s}&=-\frac{\Delta v_s}{v_{g\larr s}+\Delta v_s}\\ &=\frac{11}{4989}\\ &\approx 0.00220485067147725\\ &\approx 0.220485067147725\ut{\%}\\ &\approx 0.22\ut{\%}\\ \end{aligned}$$