A bucket that has a mass of 30 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 25 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.

Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter14: Static Equilibrium, Elasticity, And Fracture
Section: Chapter Questions
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A bucket that has a mass of 30 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 25 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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