A chain lying on the ground is 10 m long and its mass is 80 kg. One end of the chain is raised to height of 6 m.

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter7: Conservation Of Energy
Section: Chapter Questions
Problem 74P
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A chain lying on the ground is 10 m long and its mass is 80 kg. One end of the chain is raised to
a height of 6 m.
Transcribed Image Text:A chain lying on the ground is 10 m long and its mass is 80 kg. One end of the chain is raised to a height of 6 m.
(a)
(b)
Draw "before" and "after" pictures of this scenario. That is, draw one picture of the
chain lying on the ground. Then, draw a second picture of the chain with one end raised
to a height of 6 m. Choose where dy (a tiny portion of the chain) should be, and clearly
label dy on both pictures. Also, clearly label distance y in your "after" picture.
How much work (in J) is required to raise one end of the chain to a height of 6 m? Use
9.8 m/s² for the value of g. Start by developing an expression for dWork, then
integrate it to find Work.
Transcribed Image Text:(a) (b) Draw "before" and "after" pictures of this scenario. That is, draw one picture of the chain lying on the ground. Then, draw a second picture of the chain with one end raised to a height of 6 m. Choose where dy (a tiny portion of the chain) should be, and clearly label dy on both pictures. Also, clearly label distance y in your "after" picture. How much work (in J) is required to raise one end of the chain to a height of 6 m? Use 9.8 m/s² for the value of g. Start by developing an expression for dWork, then integrate it to find Work.
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