Đáp án:
\(\begin{array}{l}
a.h = 25m\\
b.{h_{\max }} = 45m\\
c.v = 15\sqrt 3 m/s
\end{array}\)
Giải thích các bước giải:
\(\begin{array}{l}
a.\\
{W_{d\max }} = W\\
\frac{1}{2}mv_{\max }^2 = \frac{1}{2}m{v^2} + mgh\\
\frac{1}{2}{.30^2} = \frac{1}{2}{.20^2} + 10h\\
\Rightarrow h = 25m\\
b.\\
{W_{d\max }} = {W_{t\max }}\\
\frac{1}{2}mv_{\max }^2 = mgh_{\max }^{}\\
0,{5.30^2} = 10{h_{\max }}\\
\Rightarrow {h_{\max }} = 45m\\
c.\\
{W_d} = 3{W_t} \Rightarrow {W_d} = \frac{3}{4}W\\
\frac{1}{2}m{v^2} = \frac{3}{4}.\frac{1}{2}mv_{\max }^2\\
v = \sqrt {\frac{3}{4}v_{\max }^2} = \sqrt {\frac{3}{4}{{.30}^2}} = 15\sqrt 3 m/s
\end{array}\)