To determine Find the work done to lift the sand for the distance of 18 ft. Explanation Given information: The weight of the sand bag is 144 lb. The lifted distance ( x ) of sand bag is 18 ft. Calculation: The half sand was leaked, when the sand bag had been lifted to the distance of 18 ft. So, the weight of the sand is taken as 72 lb. Determine the force constant k using Hooke’s law. F = k x Substitute 72 lb for F and 18 ft for x . 72 = k × 18 72 18 = k k = 4 lb/ft Determine work done to lift the sand for the distance of 18 ft using the relation. W = ∫ a b F ( x ) d x Here, F ( x ) is the weight of sand when the bas is x ft off the ground. Substitute 0 for a , 18 for b , and ( 144 − 4 x ) for F ( x )

Thomas' Calculus: Early Transcendentals (14th Edition)

14th Edition

ISBN: 9780134439020

Author: Joel R. Hass, Christopher E. Heil, Maurice D. Weir

Publisher: PEARSON

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Chapter 6.5, Problem 10E

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Find the work done to lift the sand for the distance of 18 ft.

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Chapter 6.5, Problem 9E

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