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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