A force \(\vec{F}=F_{x} \hat{i}+F_{y} \hat{\jmath}\) with \(F_{x}=50 \mathrm{~N}\) and \(F_{y}=12 \mathrm{~N}\) is exerted on a particle as the particle moves along the \(x\) axis from \(x=1.0 \mathrm{~m}\) to \(x=-5.0 \mathrm{~m}\).

(a) Determine the work done by the force on the particle.

(b) What is the angle between the force and the particle's displacement?