A bucket that has a mass of 10 kg when filled with sand needs to be lifted to the top of a 10 meter tall building. You have a rope that has a mass of 0.4 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 6 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

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Topics In Analytic Geometry
Section: Chapter Questions
Problem 33CT
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A bucket that has a mass of 10 kg when filled with sand needs to be lifted to the top of a 10 meter tall
building. You have a rope that has a mass of 0.4 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 6 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
Transcribed Image Text:A bucket that has a mass of 10 kg when filled with sand needs to be lifted to the top of a 10 meter tall building. You have a rope that has a mass of 0.4 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 6 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
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