How much work is required to lift a 10m chain with 80kg from one end to 6ft?

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But for this problem, we can treat them as equivalent since we're dealing with a constant force.In summary, to lift a 10m chain with a weight of 80kg from one end to 6ft, the work required would be approximately 48.5 Nm or 35.8 ft-lbs.
  • #1
imranq
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Homework Statement


You have a chain of length 10m with 80kg, how much work does it take to lift this chain from one end to 6ft?


Homework Equations



[tex]\delta = \frac{10}{80} = .125[/tex]


The Attempt at a Solution



[tex]W = \int{F(x)}\,dx = \int^{6}_{0}{\delta lg}\,dl = \frac{\delta l^2g}{2}[/tex]

I don't think that is right though
 
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  • #2
So far so good, you just need to evaluate the integrated expression at the integral's limits.

Is it 6 ft or 6 m?
 
  • #3
Oh whoops! Everything that denotes length is in feet
 
  • #4
Okay. I'm wondering about the "kg" too then.
 
  • #5
I don't really remember the problem so well. But the inherent integral should be the same, no? Unless you refer to lbs as weight or something.
 
  • #6
Yes, the inherent integral is the same. Using lbs can get a little confusing since lbs are a force unit, not mass.
 

What does "picking a chain from one end" mean?

"Picking a chain from one end" refers to the process of selecting a specific point on a chain and examining its properties or behavior.

Why is it important to pick a chain from one end in scientific experiments?

Picking a chain from one end allows scientists to control the starting point of their observations and measurements, ensuring consistency and accuracy in their experiments.

What factors should be considered when choosing which end of the chain to pick?

The factors to consider when picking a chain from one end may vary depending on the specific experiment, but some common considerations include the desired outcome, the properties of the chain, and the experimental conditions.

Can picking a chain from one end affect the results of an experiment?

Yes, picking a chain from one end can significantly impact the results of an experiment. Choosing a different starting point on the chain can lead to different observations and measurements, which can affect the overall conclusions drawn from the experiment.

Are there any alternative methods to picking a chain from one end in scientific research?

Yes, there are alternative methods to picking a chain from one end, such as randomly selecting a point on the chain or using multiple starting points to compare results. However, picking a chain from one end is often the preferred method as it allows for greater control and consistency in experiments.

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