# Jean's wrath

**Classical Mechanics**Level 4

Jean, angered by this display of cowardice, uses her telekinetic powers to apply a force of \[ \large{\vec F(x,y,z) = -kxy^2 \hat{\jmath} }\] on Wolverine. This is a force in the negative \(y\) direction whose magnitude depends on Wolverine's position \((x,y,z)\). Calculate the amount of work Jean does on wolverine as he jumps from \((0,0,0)\) towards \((3,3,0)\). If this work is \(W\), input \(|W|\) in **joules** as your answer.

Take \(k=2.50 \frac{N}{m^3} \)