To Calculate: The work done needed to pump half the water out of a rectangular aquarium.
Answer to Problem 17E
The work needed to empty half the aquarium is
Explanation of Solution
Given Information: The dimensions of the aquarium are
The density of water is
Concept Used:The work done by a force
Calculation: The mass of an infinitesimally thin layer of water of thickness
This infinitesimal mass of water moves up the distance equal to its height
The total work needed to pump half the water out of the aquarium is the integral of the above
Therefore
Therefore, the total work done is
Chapter 6 Solutions
Single Variable Calculus: Concepts and Contexts, Enhanced Edition
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