Net work

An object with mass 4 kg 4 \text{ kg} is moving at a velocity of 5x^3y^ m/s. -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 5x^+6y^ m/s, 5\hat { x } + 6\hat { y } \text{ m/s,} assuming that no energy was lost in the process.

x^ and y^ \hat{ x } \text{ and } \hat{ y} are vector expressions in a 22-dimensional plane.

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