Problem $2$: $(25\%$ of Assignment Value$)$

The force

vec$(F)=(6\mathrm{.}81N)hat(i)+(4\mathrm{.}52N)hat(j)$

acts on a particle as it moves along a straight line from its initial position at

vec$(r{)}_i=(2\mathrm{.}41m)hat(i)+(1\mathrm{.}19m)hat(j)$

to its final position at

vec$(r{)}_f=(6\mathrm{.}53m)hat(i)+(6\mathrm{.}59m)hat(j)$

What is the work, in joules, done by the force on the particle?

$W=$

$$

J