A pressure field is defined by (P(x, y)=sqrt{x^{2}+y^{2}}+2). Here, (x) and (y) are in units of meters,

Question:

A pressure field is defined by \(P(x, y)=\sqrt{x^{2}+y^{2}}+2\). Here, \(x\) and \(y\) are in units of meters, and the pressure \(P\) has units of \(\mathrm{Pa}\). Calculate the resulting force that acts on the top of a circle of radius \(2 \mathrm{~m}\) centered at the origin.

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