Pathfinder Impulse & Momentum MCQ 17

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A uniform rope suspended between two level nails A and B assume a curved shape ABC as shown in the figure. The midpoint C of the rope is pulled vertically down to a position D to make a V shape and released. When the rope again acquires the curved shape ACB, the midpoint is pulled vertically up to a position E to make an inverted V shape. IF in these two pulling processes, total work done by the pulling agency is W, how much work will be done by the pulling agency in lifting vertically the midpoint from equilibrium to a position F in level with the nails ?