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We assume you mean the work done in order to change the velocity of the moving mass.

Easiest way is to calculate the change in the kinetic energy of the moving mass, and realize

that it's equal to the amount of work either put into the motion of the mass or taken out of it.

Initial kinetic energy = 1/2 m Vi2

Final kinetic energy = 1/2 m Vf2

Change in kinetic energy = 1/2 m ( Vf2 - Vi2) <== that's the amount of work involved.

If the final velocity is greater than the initial velocity, the change in kinetic energy is positive,

and represents work done by the pusher to speed up the mass.

If the final velocity is less than the initial velocity, the change in kinetic energy is negative, and

represents work done by the mass and absorbed by the pusher, as the mass slowed down.

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14y ago

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Q: How do you find work given mass initial velocity and final velocity?
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