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 0.3 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 15 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.

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter3: Solving Equation And Problems
Section3.5: Equations With The Variable On Both Sides
Problem 16P
Question
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 0.3 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 15
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 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 0.3 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 15 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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