6. Alexis is on top of a 100 foot building preparing for the Worlds Strongest Women competition. A 36 foot rope, weighing 102 pounds, is attached to the top of the building with a 2 lb bucket containing 40 lbs of sand at the other end of the rope. a. Find the work needed for Alexis to lift the rope and bucket of sand to the top of the building. b. Find the work needed to life the rope and bucket a quarter of the way up. c. If for ever foot raised the bucket loses 1/10 lbs of sand leaks from the bucket. Find the work needed to lift the rope and bucket of leaking sand all the way to the top of the building