Explanation Work is referred to as the amount of energy that is required to perform any substantial task. If constant force is applied, then the work is simply given by the following equation W = F × d Where W = W o r k d o n e F = C o n s t a n t F o r c e d = d i s t a n c e t h r o u g h w h i c h t h e f o r c e a c t s If the force applied is not constant and changes over time, then integral equation is used to calculate the work done. W = ∫ x = a x = b f ( x ) d x Where, W = W o r k d o n e f ( x ) = f o r c e a s a f u n c t i o n o f d i s t a n c e x = d i s t a n c e t h r o u g h w h i c h t h e f o r c e a c t s Given: Given a chain of 12 m and mass density of the chain is 3 k g / m . Formula Used: The amount of work done in lifting a body to a height is given by the formula W o r k D o n e = m × g × h Where, m = mass of the object in kilograms g = acceleration due to gravity ( at the surface of the earth) h = height in meters Calculation: Let us consider a small segment of the chain of the length Δ x located at distance of meters from top end of the building...

3rd Edition

ISBN: 9781464125263

Author: Jon Rogawski, Colin Adams

Publisher: W.H. Freeman & Co

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Chapter 6.5, Problem 31E

To determine

The work done performed in lifting a $12 m$ chain so that the top end of chain is $10 m$ above the ground. Given that the one end of the chain touches the ground and is initially coiled on the ground. Also, the chain has the mass density of $3 k g / m$ .

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Chapter 6.5, Problem 30E

Chapter 6.5, Problem 32E

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Chapter 6 Solutions

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The work done performed in lifting a 12 m chain so that the top end of chain is 10 m above the ground. Given that the one end of the chain touches the ground and is initially coiled on the ground. Also, the chain has the mass density of 3 k g / m .

Solution Summary: The author explains the amount of work done in lifting a 12 m chain having the mass density of 3 k g/m. If the force applied is not constant and changes over time, then integral equation is used to calculate

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The work done performed in lifting a $12 m$ chain so that the top end of chain is $10 m$ above the ground. Given that the one end of the chain touches the ground and is initially coiled on the ground. Also, the chain has the mass density of $3 k g / m$ .

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Chapter 6 Solutions

The work done performed in lifting a 12 m chain so that the top end of chain is 10 m above the ground. Given that the one end of the chain touches the ground and is initially coiled on the ground. Also, the chain has the mass density of 3 k g / m .

Solution Summary: The author explains the amount of work done in lifting a 12 m chain having the mass density of 3 k g/m. If the force applied is not constant and changes over time, then integral equation is used to calculate

Videos

The work done performed in lifting a 12 m chain so that the top end of chain is 10 m above the ground. Given that the one end of the chain touches the ground and is initially coiled on the ground. Also, the chain has the mass density of 3 kg/m.

Want to see the full answer?

Chapter 6 Solutions

The work done performed in lifting a $12 m$ chain so that the top end of chain is $10 m$ above the ground. Given that the one end of the chain touches the ground and is initially coiled on the ground. Also, the chain has the mass density of $3 k g / m$ .