What is the chain's displacement?

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Homework Help Overview

The problem involves a 3.0 m long steel chain positioned on a scaffold, with part of it hanging vertically. The discussion centers around calculating the work done by gravity as the chain falls from a specific position. The subject area includes concepts of mechanics, specifically work and energy principles.

Discussion Character

  • Exploratory, Assumption checking, Conceptual clarification

Approaches and Questions Raised

  • Participants explore the relationship between the chain's weight density and the gravitational force acting on it. Questions arise regarding the calculation of work done and the change in gravitational potential energy as the chain falls.

Discussion Status

The discussion is ongoing, with participants questioning the calculations and assumptions related to weight density and gravitational force. Some guidance has been offered regarding the potential energy change, but no consensus has been reached on the final answer.

Contextual Notes

Participants are considering the implications of linear weight density and the units involved in the calculations. There is a focus on the gravitational force acting on the chain and how it relates to the work done during the fall.

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A 3.0 m long steel chain is stretched out along the top level of a horizontal scaffold at a construction site, in such a way that 2 m of the chain remains on the top level and 1.0 m hangs vertically. At this point, the force on the hanging segment is sufficient to pull the entire chain over the edge. Once the chain is moving, the kinetic friction is so small that it can be neglected. How much work is performed on the chain by the force of gravity as the chain falls from the point where 1 m remains on the scaffold to the point where the entire chain has left the scaffold? (Assume that the chain has a linear weight density of 60 N/m.)

Is it W=60*9.8(3-2)?
 
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What is the chain's displacement?
 
Also, think about the linear weight density, units in particular. What is the gravitational force acting on the chain?
 
So the answer is just 35 J?
 
physicsss said:
How much work is performed on the chain by the force of gravity as the chain falls from the point where 1 m remains on the scaffold to the point where the entire chain has left the scaffold?
Consider the change in gravitational potential energy.
 

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