A pressure field is defined by $P(x,y)=\sqrt[\phantom{2}]{x^2+y^2}+2.$ Here, $x$ and $y$ are in units of meters, and the pressure $P$ has units of Pa$.$

Calculate the resulting force that acts on the top of a circle of radius $2\mathrm{.}000$ m centered at the origin. $($Round the final answer to three

decimal places. Include a minus sign if necessary.$)$

The resulting force that acts on the top of a circle of radius $2\mathrm{.}000$ m centered at the origin is

$Nhat(k)$