솔루션피아

$$ \put \begin{cases} m_a&=3.0\ut{kg}\\m_b&=\Ans\end{cases} $$$$ \begin{cases} v_{ai}&=8.0\ut{m/s}\\v_{bi}&=0\\v_{bf}&=6.0\ut{m/s}\\\end{cases} $$$$ \begin{cases} v_{\text{in}}&=v_{ai}-v_{bi}=v_{ai}\\v_{\text{out}}&=v_{af}-v_{bf}\end{cases} $$$$ \begin{cases} \Delta \Sigma \vec p=0,\\\text{Elastic Collision}\Harr \vec v_{\text{out}}=-\vec v_{\text{in}},\end{cases} $$$$ \begin{cases} m_av_{ai}&=m..

(풀이자 주: 문제의 그림이 잘못 지칭된 듯 합니다. 풀이가 불가능합니다.)$$ \begin{cases} m_1&=50\ut{g}\\h_1&=9.0\ut{cm}\\m_2&=85\ut{g}\\\end{cases} $$

$$ \put \begin{cases} b:\text{boat}\\c:\text{car}\\\end{cases} $$$$ \begin{cases} m_c&=1500\ut{kg}\\L_c&=3.0\ut{m}\\m_b&=4000\ut{kg}\\L_b&=14\ut{m}\\M&=m_b+m_c\\\end{cases} $$$$ \begin{aligned}\Delta x_{c\larr b}&=\Delta x_c-\Delta x_b\\&=-11\ut{m}\end{aligned} $$$$\Delta \Sigma \vec p=0,$$$$ \begin{aligned}0&=\Delta \vec p_\com\\&=M\Delta \vec v_\com\\\end{aligned} $$$$ \begin{aligned}x_{\com f..

$$ \begin{cases} v&=3.20\ut{m/s}\\\frac{\Delta m}{t}&=540\ut{kg/min}=9\ut{kg/s}\end{cases} $$$$ \begin{aligned}\vec J&=\Delta \vec p\\Ft&=\Delta mv\\F&=\frac{v\Delta m}{t}\\&=\frac{144}{5}\ut{N}\\&=28.8\ut{N}\end{aligned} $$

$$ \begin{cases} F&=24\ut{N}\\t&=14\ut{ms}=14\times10^{-3}\ut{s}\\m&=0.20\ut{kg}\\\end{cases} $$$$ \begin{aligned}\Delta \vec p&=\vec J\\\Delta \vec v&=\frac{Ft}{m}\\&=\frac{42}{25}\ut{m/s}\\&=1.68\ut{m/s}\\&\approx 1.7\ut{m/s}\\\end{aligned} $$

$$ \begin{cases} m_1&=4.00\ut{kg}\\\vec v_1&=-4.00\i-5.00\j\ut{m/s}\\m_2&=6.00\ut{kg}\\\vec v_2&=6.00\i-2.00\j\ut{m/s}\\\end{cases} $$$$\Delta \Sigma \vec p=0,$$$$m_1v_1+m_2v_2=(m_1+m_2)v_f$$$$\ab{a}$$$$ \begin{aligned}\vec v_f&=\frac{m_1v_1+m_2v_2}{m_1+m_2}\\&=2\i-\frac{16}{5}\j\ut{m/s}\\&=2.00\i-3.20\j\ut{m/s}\end{aligned} $$$$\ab{b}$$$$ \begin{aligned}v_f&=\sqrt{2^2+\(-\frac{16}{5}\)^2}\\&=\f..

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

$$\put \begin{cases} m:\text{man}\\c:\text{car}\\\end{cases} $$$$ \begin{cases} m_mg&=850\ut{N}\\m_cg&=1700\ut{N}\\v_{ci}&=18.2\ut{m/s}\\v_{m\larr c}&=-4.00\ut{m/s}\end{cases} $$$$ \begin{aligned}v_{m\larr c}&=v_m-v_c\end{aligned} $$$$\Delta \Sigma \vec p=0,$$$$\vec p_i=\vec p_{mf}+\vec p_{cf}$$$$(m_m+m_c)v_i=m_mv_m+m_cv_c$$$$ v_c=v_i-\frac{m_m }{m_c+m_m}v_{m\larr c}$$$$ \begin{aligned}\Delta v_..

$$ \begin{cases} x_P&=0\\x_Q&=1.0\ut{m}\\m_P&=0.10\ut{kg}\\m_Q&=0.30\ut{kg}\\F&=1.0\times10^{-2}\ut{N}\\\end{cases} $$$$\ab{a}$$$$\Delta \Sigma \vec p=0,$$$$\vec p_{\com i}=\vec p_{\com f},$$$$\vec v_{\com i}=\vec v_{\com f}=0$$$$\ab{b}$$$$ \begin{aligned}x_{\text{crash}}&=x_\com\\&=\frac{\Sigma xm}{M}\\&=\frac{x_Pm_P+x_Qm_Q}{m_P+m_Q}\\&=\frac{3}{4}\ut{m}\\&=0.75\ut{m}\end{aligned} $$

$$ \put \begin{cases} m:\text{Mother}\\d:\text{Daughter}\\n:\text{neutrino}\\e:\text{electron}\\\end{cases} $$$$ \begin{cases} p_m&=0\\p_e&=-1.2\times10^{-22}\i\ut{kg\cdot m/s}\\p_n&=-6.4\times10^{-23}\j\ut{kg\cdot m/s}\\m_d&=5.8\times10^{-26}\ut{kg}\\\end{cases} $$$$ \begin{aligned}\vec p_m&= \vec p_d+ \vec p_e+ \vec p_n\\\vec p_d&=-\vec p_e- \vec p_n\\&=1.2\times10^{-22}\i+6.4\times10^{-23}\j\..