(Solved): A bucket that has a mass of 15 kg when filled with sand needs to be lifted to the top of a 15 meter ...

A bucket that has a mass of 15 kg when filled with sand needs to be lifted to the top of a 15 meter tall building. You have a rope that has a mass of \( 0.1 \mathrm{~kg} / \mathrm{m} \) 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 11 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.