A particle of mass 0.5 kg is moved from a point A A\,A with position vector rA=(2i−5j) m\mathbf{r}_A = (2\mathbf{i} - 5\mathbf{j})\text{ m}rA=(2i−5j) m to a point B B\,B with position vector rB=(8i+3j) m\mathbf{r}_B = (8\mathbf{i} + 3\mathbf{j})\text{ m}rB=(8i+3j) m under the action of a single constant force F=(9i+4j) N\mathbf{F} = (9\mathbf{i} + 4\mathbf{j})\text{ N}F=(9i+4j) N.
Calculate the work done by the force F\mathbf{F}F in moving the particle from A A\,A to BBB.
82 J82\text{ J}82 J
84 J84\text{ J}84 J
86 J86\text{ J}86 J
98.5 J98.5\text{ J}98.5 J