Đáp án:
\(\begin{array}{l}
a.{h_{\max }} = 20m\\
b.h = 10m\\
c.h = \frac{{20}}{3}m
\end{array}\)
Giải thích các bước giải:
a.
Bảo toàn cơ năng:
\(\begin{array}{l}
{W_{d\max }} = {W_{t\max }} \Rightarrow \frac{1}{2}mv_{\max }^2 = mg{h_{\max }}\\
\Rightarrow \frac{1}{2}{.20^2} = 10{h_{\max }} \Rightarrow {h_{\max }} = 20m
\end{array}\)
b.
Ta có:
\(\begin{array}{l}
{W_t} = {W_d} = \frac{W}{2} = \frac{{{W_{t\max }}}}{2} \Rightarrow mgh = \frac{{mg{h_{\max }}}}{2}\\
\Rightarrow h = \frac{{{h_{\max }}}}{2} = \frac{{20}}{2} = 10m
\end{array}\)
c.
Ta có:
\(\begin{array}{l}
{W_d} = 2{W_t} \Rightarrow {W_t} = \frac{W}{3} = \frac{{{W_{t\max }}}}{3} \Rightarrow mgh = \frac{{mg{h_{\max }}}}{3}\\
\Rightarrow h = \frac{{{h_{\max }}}}{3} = \frac{{20}}{3}m
\end{array}\)