A bucket that weights 70lb when filled with water is lifted at a constant rate, by a mechanical winch, from the bottom of a well that is 60 feet deep. a) Compute the work required to lift the bucket from the bottom of the well to the top. b) Oops, we forgot to tell you! The chain that is being used to lift the bucket weighs 0.55 lbs per foot. Now find the correct amount of work required to lift the bucket from the bottom of the well all the way to the top. c) Oh no! Where is our head at today? We completely forgot to mention that the bucket has a hole in the bottom. It only weighs 35lb when it reaches the top, due to the water leaking out at a constant rate. Now compute the real work required to lift the bucket from the bottom of the well to the top of the well. (Recall that the bucket is being lifted at a constant rate, as well.)