a crane lifts a 1000 lb science desk to a height of 20 ft using a chain that weighs 2 lb/ft. If the crane arm is at a height of 50 ft find the work required. Also, would the chain be the only part integrated since it is changing and the desk remains constant?

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.7: Applications
Problem 18EQ
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a crane lifts a 1000 lb science desk to a height of 20 ft using a chain that weighs 2 lb/ft. If the crane arm is at a height of 50 ft find the work required.

Also, would the chain be the only part integrated since it is changing and the desk remains constant?

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