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A rope which is 7 meters long is laid out on a horizontal table.

(a) Assuming that the coefficient of static friction between the rope and the top of the table is 0.5, show that the rope will begin to slide if at least 3 meters of it hangs off the edge.

(b) Once it starts to slide, the coefficient of kinetic friction is 0.1. Find the speed of the rope as the last bit of it slides off the table.

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