A 100 m long rope hangs from the top of a mine shaft, and is attached to a crate full of coal. The crate+coal has a total mass of 300 kg and the rope has a constant density of 2 kg/m. Calculate the total amount of work done to lift the rope and crate with coal up to the surface.

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Question
A 100 m long rope hangs from the top of a
mine shaft, and is attached to a crate full of
coal. The crate+coal has a total mass of 300
kg and the rope has a constant density of 2
kg/m. Calculate the total amount of work
done to lift the rope and crate with coal up to
the surface.
Transcribed Image Text:A 100 m long rope hangs from the top of a mine shaft, and is attached to a crate full of coal. The crate+coal has a total mass of 300 kg and the rope has a constant density of 2 kg/m. Calculate the total amount of work done to lift the rope and crate with coal up to the surface.
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