Problem $2(52$ points$)$: A width $=10m$ rechtangular channel with $n=0\mathrm{.}013,$ and $Q=100\frac{m^3}{sec}$ flows from this mild channel with slope of $0\mathrm{.}1\%$ and to a steep channel with slope of $5\%$ passing through critial depth at the transition betweem twon hottom clonac

Calculate the critical depth and draw it on the figure $(5\text{'}),$ Calculate the normal depth in part $1$ and part $2$ with $n=0\mathrm{.}013$ and draw it on the figure to classify the water surface profile type $($e$.$g$.$ M$3,$ S$1)(15\text{'})$

The table below has been computed the water surface profile in Part $2$ using the Direct Step Method. Fill the missing values in the table Please provide the sample calculation for each column $(9+28)$

$\backslash$table$[[$Section$,Y(m),A(m^2),P(m),R_h(m),V(\frac{m}{s}),\frac{V^2}{2}g(m),E(m),S_e,L(m),$Distance $(m)$