A leaky 10-kg bucket is lifted from the ground to a heightof 12 m at a constant speed with a rope that weighs 0. 8  kg / m. . Initially the bucket contains 36 kg of water, butthe water leaks at a constant rate and finishes draining just asthe bucket reaches the 12-meter level. How much work isdone?

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter3: Polynomial Functions
Section3.5: Mathematical Modeling And Variation
Problem 7ECP: The kinetic energy E of an object varies jointly with the object’s mass m and the square of the...
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A leaky 10-kg bucket is lifted from the ground to a height
of 12 m at a constant speed with a rope that weighs 0. 8  kg / m. 
. Initially the bucket contains 36 kg of water, but
the water leaks at a constant rate and finishes draining just as
the bucket reaches the 12-meter level. How much work is
done?

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