Finding the work done in lifting a bucket. A 10 lb bucket attached to a rope is lifted from the ground into the air by pulling in 19 ft of rope at a constant speed. If the rope weighs 1.1 how much work is done lifting the bucket and rope? Part 1. Find the work done in lifting the bucket (without the rope) 19 ft. Wyucket ft-lb Part 2. Assuming the force required to lift the rope is equal to its weight, find the force function, F(r), that acts on the rope when the bucket is at a height of z ft. F(x) O Part 3. Setup the integral that will give the work required to lift the rope 19 ft. Wrone = Part 4. The total amount of work done in lifting the bucket and rope is W ft-lb Note: enter your answer using values correct to three decimal places.

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