Understanding Work Components in Calculating Net Work Done

In summary, the student is confused about why mgh2 is being subtracted from the overall equation instead of added. They understand the concept of subtracting friction, but are unsure about when to add or subtract other components. They realize that coasting uphill will reduce the KE of the block, and they are trying to figure out the correct sign for mgh2. The student also asks about treating the system as closed and how external forces affect the block's KE.
  • #1
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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  • #2
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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  • #3
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 ?
 
  • #4
Dylan R said:
Reduce
So what sign should it have?
 
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  • #5
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 ?
 
  • #6
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.
 

What is net work done?

Net work done is the total amount of energy transferred or converted by a force on an object. It takes into account both the magnitude and direction of the force, as well as the displacement of the object.

How is net work done calculated?

Net work done is calculated by multiplying the magnitude of the force applied to an object by the distance the object is displaced in the direction of the force. This can be represented by the equation W = F x d.

What are the units for net work done?

The units for net work done are joules (J), which is the standard unit of energy in the International System of Units (SI).

Can net work done be negative?

Yes, net work done can be negative. This occurs when the force applied to an object is in the opposite direction of the displacement of the object, resulting in the transfer of energy away from the object.

How is net work done related to kinetic energy?

Net work done is directly related to the change in kinetic energy of an object. This is known as the work-energy theorem, which states that the net work done on an object is equal to the change in kinetic energy of the object.

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