Đáp án:
\(\begin{array}{l}
a.\\
v = 100m/s\\
{v_2} = 188,561m/s\\
b.\\
h = 500m
\end{array}\)
Giải thích các bước giải:
\(\begin{array}{l}
a.\\
p = {p_1}\\
mv = {m_1}{v_1}\\
v = \frac{{{m_1}{v_1}}}{m} = \frac{{0,5.400}}{2} = 100m/s\\
{p_2} = {m_2}{v_2} = \sqrt {{p^2} + p_1^2} \\
{v_2} = \frac{{\sqrt {2{p^2}} }}{{{m_2}}} = \frac{{\sqrt {2{{(2.100)}^2}} }}{{1,5}} = 188,561m/s\\
b.\\
W = W'\\
\frac{1}{2}m{v^2} = mgh\\
h = \frac{{\frac{1}{2}{v^2}}}{g} = \frac{{\frac{1}{2}{{.100}^2}}}{{10}} = 500m
\end{array}\)