Question: A force (vec{F}=F_{x} hat{imath}+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

A force $\vec{F}=F_{x} \hat{\imath}+F_{y} \hat{\jmath}$ 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?

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