i.4.39 Curvilinear integrals

condition: Find the work done by the force \( \vec{F}=x \vec{\imath}-y \vec{\jmath} \quad \) when moving a material point along the curve \( \Gamma: y=2 \sqrt{x} \) from point \( M(1,2) \) to point \( N(0,0) \). Find the length of the path.