Đáp án:
\(\begin{array}{l}
5.\\
v = 0,9565m/s\\
6.\\
a.\\
v = 3,4m/s\\
b.\\
v = 0,2m/s
\end{array}\)
Giải thích các bước giải:
\(\begin{array}{l}
5.\\
p = p'\\
- {m_1}{v_1} + {m_2}{v_2} = ({m_1} + {m_2})v\\
v = \frac{{{m_1}{v_1} - {m_2}{v_2}}}{{{m_1} + {m_2}}} = \frac{{ - 0,3.2 + 2.0,8}}{{0,3 + 2}} = 0,9565m/s\\
6.\\
{p_1} = {m_1}{v_1} = 60.4 = 240kgm/s\\
{p_2} = {m_2}{v_2} = 90.3 = 270khm/s\\
a.\\
p = p'\\
{p_1} + {p_2} = ({m_1} + {m_2})v\\
v = \frac{{{p_1} + {p_2}}}{{{m_1} + {m_2}}} = \frac{{240 + 270}}{{60 + 90}} = 3,4m/s\\
b.\\
p = p'\\
- {p_1} + {p_2} = ({m_1} + {m_2})v\\
v = \frac{{ - {p_1} + {p_2}}}{{{m_1} + {m_2}}} = \frac{{ - 240 + 270}}{{60 + 90}} = 0,2m/s
\end{array}\)