3. Leaky Bucket A 2-kg bucket is lifted from the ground into the air by pulling in 6 m of rope at a constant speed (see figure below). The rope weighs 0.1 kg/m. Assume the bucket is leaking. It starts with 8 L of water and leaks at a constant rate. It finishes draining just as it reaches the top. a) How much work was spent lifting the bucket and rope? b) How much work was spent lifting the water alone? (Hint: Do not include the rope and bucket, and find the proportion of water left at elevation x m.)

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
Chapter12: Quadratic Functions
Section12.6: Solving Problems Involving Quadratic Equations
Problem 1.3E
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3. Leaky Bucket
A 2-kg bucket is lifted from the ground into the air by pulling in 6 m of rope at a constant speed
(see figure below). The rope weighs 0.1 kg/m. Assume the bucket is leaking. It starts with 8 L
of water and leaks at a constant rate. It finishes draining just as it reaches the top.
a) How much work was spent lifting the bucket and rope?
b) How much work was spent lifting the water alone? (Hint: Do not include the rope and
bucket, and find the proportion of water left at elevation x m.)
Transcribed Image Text:3. Leaky Bucket A 2-kg bucket is lifted from the ground into the air by pulling in 6 m of rope at a constant speed (see figure below). The rope weighs 0.1 kg/m. Assume the bucket is leaking. It starts with 8 L of water and leaks at a constant rate. It finishes draining just as it reaches the top. a) How much work was spent lifting the bucket and rope? b) How much work was spent lifting the water alone? (Hint: Do not include the rope and bucket, and find the proportion of water left at elevation x m.)
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