of the five problems that follow to solve. $(80$pts$)$ Mexico during storm in United States history was Hurricane Katrina. It hit the Gulf of nearly two$-$hing the last week of August $2005.$ The damage it caused was estimated at hered billion dollars. Below is a photo of Katrina at its peak intensity.

a$.$ Suppose a $75\frac{m}{s}$ gust of wind from Katrina moves over the surface of a home's roof. Calculate the pressure change that's created by such a wind gust.

$\frac{1}{2}{v}^2+gh+P$

$\frac{1}{2}(1\mathrm{.}293)(75{)}^2+$Patm There surmeld

$3636\mathrm{.}56o+101325$

$104961\mathrm{.}56$

b$.$ Assuming the pressure in a home underneath its roof is still at atmospheric pressure, what total force would a gust like this generate on a $100m^2$ flat roof?