A bucket that has a mass of 30 kg when filled with sand needs to be lifted to the top of a 30 meter tall building. You have a rope that has a mass of 0.2 kg/m that must be secured to the bucket. It takes 1 meter of rope to secure the bucket. Once the bucket reaches the top of the building it only has mass 16 kg because there was a hole in the bottom and sand was leaking out at a constant rate while it was being lifted to the top of the building.

Find the work done lifting the bucket (sand and rope) to the top of the building.

  Joules