A 10 ft chain weighs 45 lb and hangs from a ceiling. Find the work done (in ft-lb) in lifting the lower end of the chain to the ceiling so that it's level with the upper end. ft-lb.

Question

Mathematics

Edith Gentry

24 May, 05:06

A 10 ft chain weighs 45 lb and hangs from a ceiling. Find the work done (in ft-lb) in lifting the lower end of the chain to the ceiling so that it's level with the upper end. ft-lb.

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Aria Potter · Answer 1

Answer: work done = 14478ft²-lb/s²

Step-by-step explanation: The work done is equal to the rest energy of the chain.

The rest energy is also the potential energy Mass * hieght*acceleration due to gravity.

But in this case we have to look for our acceleration due to gravity in ft/s².

I googled it an I got 32.174ft/s²

So now let's substitute

Work done = m*g*h

= 45*32.174*10=14478ft²lb/s².