An object with mass $4 \text{ kg}$ is moving at a velocity of $-5\hat { x } -3\hat { y } \text{ m/s.}$ Find the magnitude of net work (in J) when the velocity of this object changes to $5\hat { x } + 6\hat { y } \text{ m/s,}$ assuming that no energy was lost in the process.

$\hat{ x } \text{ and } \hat{ y}$ are vector expressions in a $2$-dimensional plane.

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