9-49 할리데이 11판 솔루션 일반물리학

$$\put \begin{cases} b:\text{boat}\\ c:\text{car}\\ \end{cases}$$ $$\begin{cases} m_c&=1500\ut{kg}\\ L_c&=3.0\ut{m}\\ m_b&=4000\ut{kg}\\ L_b&=14\ut{m}\\ M&=m_b+m_c\\ \end{cases}$$ $$\begin{aligned} \Delta x_{c\larr b}&=\Delta x_c-\Delta x_b\\ &=-11\ut{m} \end{aligned}$$ $$\Delta \Sigma \vec p=0,$$ $$\begin{aligned} 0&=\Delta \vec p_\com\\ &=M\Delta \vec v_\com\\ \end{aligned}$$ $$\begin{aligned} x_{\com f}&=x_{\com i}\\ \frac{\Sigma \vec x_fm}{M}&=\frac{\Sigma \vec x_im}{M}\\ \Sigma \vec x_fm&=\Sigma \vec x_im\\ m_bx_{bf}+m_cx_{cf}&=m_bx_{bi}+m_cx_{ci}\\ \end{aligned}$$ $$m_b\Delta x_{b}+m_c\Delta x_{c}=0$$ $$\begin{aligned} \Delta x_b&=-\frac{m_c}{M}\Delta x_{c\larr b}\\ &=3\ut{m}\\ &=3.0\ut{m} \end{aligned}$$