In throttling process, work done is zero.
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That means that no work is done.
No, unless both are zero. No work is done in a horizontal motion. mGh is work in a vertical direction.
Zero is not used as the divisor when dividing with the process of division.
Work is minimized when the angle between the force applied and the direction of motion is 90 degrees (or π/2 radians). At this angle, the force does not contribute to the displacement in the direction of the force, resulting in zero work done. In general, as the angle increases from 0 to 90 degrees, the work done decreases, reaching its minimum at 90 degrees.
In this case, V would be negative, and work w would be positive.