Concept explainers
To find the work done lifting the sand this far.
Answer to Problem 7E
1944ft-lb work was done lifting the sand this far.
Explanation of Solution
Given information: A bag of sand originally weighing 144lb was lifted at a constant rate. Sand leaked out at a constant rate. The sand was half gone by the time the bag had been lifted 18ft.
Calculation:
Since the weight of the bag is a linear function of its height, we compute the changes,
For,
Thus the weight as a function of height is,
To compute the work, we use the integral,
Hence, 1944ft-lb work was done lifting the sand this far.
Chapter 8 Solutions
Calculus: Graphical, Numerical, Algebraic
Additional Math Textbook Solutions
Calculus, Single Variable: Early Transcendentals (3rd Edition)
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Single Variable Calculus: Early Transcendentals (2nd Edition) - Standalone book
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