Understanding Work Components in Calculating Net Work Done

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Homework Help Overview

The discussion revolves around understanding the components of work in the context of calculating net work done on a block, particularly focusing on the role of gravitational potential energy (mgh2) and its effect on kinetic energy (KE) in a closed system scenario.

Discussion Character

  • Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants are exploring why mgh2 is subtracted in the overall equation rather than added, with some questioning the conditions under which different work components are treated as positive or negative. There is a focus on the implications of coasting uphill on the block's kinetic energy.

Discussion Status

The discussion is ongoing, with participants seeking clarity on the signs of work components and the treatment of the system as closed. Some guidance has been offered regarding the nature of external forces acting on the block and the implications for net work done, but no consensus has been reached.

Contextual Notes

Participants are grappling with the definitions of closed systems and the effects of external forces on kinetic energy, particularly in the context of gravitational work when moving up and down slopes.

Dylan R
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Homework Statement


jf1B46

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Homework Equations


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The Attempt at a Solution


I do not understand why is mgh2 is being subtracted from the overall equation instead of added.
I am able to construct each of the work components but when building the overall equation I'm having a problem of understanding when is each component should be added or subtracted (except for the friction which make sense to subtract) [/B]
 

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Dylan R said:
why is mgh2 being subtracted
The positive terms are those which add to the KE of the block. Will coasting uphill increase it or reduce it?
 
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haruspex said:
The positive terms are those which add to the KE of the block. Will coasting uphill increase it or reduce it?
Reduce
So basically it is the KE that is equal to mgh2 (closed system) that is being subtracted ?
 
Dylan R said:
Reduce
So what sign should it have?
 
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haruspex said:
So what sign should it have?
-
So basically we treat it as a closed system by saying that mgh2=KE that is being subtracted ?
 
Dylan R said:
-
So basically we treat it as a closed system by saying that mgh2=KE that is being subtracted ?
Treating what as a closed system? The block is certainly not a closed system by itself. It is acted on by external forces and these change its KE. But we know it starts and ends at rest, so the net work done on it is zero. Going down the slope, gravity does positive work on it, but going up the slope gravity does negative work on it.
 

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