A) A bucket full of sand has a mass of 15 kg (including the bucket and the sand). The bucket is to be lifted to the top of a building 30 meters tall by a rope of negligible weight. However, the bucket has a hole in it, and leaks 0.3 kgs of sand each meter it is lifted. Find the work done lifting the bucket to the top of the building.
A) A bucket full of sand has a mass of 15 kg (including the bucket and the sand). The bucket is to be lifted to the top of a building 30 meters tall by a rope of negligible weight. However, the bucket has a hole in it, and leaks 0.3 kgs of sand each meter it is lifted.
Find the work done lifting the bucket to the top of the building.
B) A bucket that has a mass of 20 kg when filled with sand needs to be lifted to the top of a 25 meter tall building. You have a rope that has a mass of 0.1 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.
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