# Jean's wrath

Wolverine and Jean somehow find themselves in an intense mutant show off in outer space. Assume their positions can be described with coordinate points . Wolverine who was initially standing at the origin ($$0,0,0)$$, decides to avoid the conflict and jumps in a straight line towards the point $$(3,3,0)$$.

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 $$k=2.50 \frac{N}{m^3}$$

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