Problem $1)(20$ Points$)$ Flat Bottom Boat $($Chapter $9)$

A flat bottom boat moves through the water at $20$ mph $(29\mathrm{.}3$ feet per second$).$ The surface of the hull can be treated as a flat plate with length equal to $20$ feet, and width equal to $8$ feet.

Given: Density of water $\backslash (=1\mathrm{.}94\backslash )$ slugs$/$ft$^3$

Kinematic viscosity of water $\backslash (=1\mathrm{.}66\backslash$mathrm$\{$E$\}-5\backslash$mathrm$\{$ft$\}\backslash$wedge $2/\backslash$mathrm$\{$s$\}\backslash )$

Assume the boundary layer of water against the boat hull has a leading laminar zone followed by a turbulent zone.

Find:

a$)$ Force, in lbs$,$ and b$)$ Power, in horsepower, required to propel the boat. $(\backslash ($ P$=$F V $\backslash ))$