Work done on a block on an inclined plane

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Homework Help Overview

The problem involves a block on an inclined plane being pulled by a force at constant speed, with the goal of determining the total work done by the applied force as the block moves a certain distance. The context includes concepts of work, friction, and forces acting on an inclined plane.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss the application of the work formula W=FDcos(theta) and question the role of the angle in relation to the force and direction of travel. There is confusion regarding the correct interpretation of the angle theta and its implications for calculating work.

Discussion Status

Some participants have provided insights into the relationship between the force direction and the direction of travel, suggesting that the angle between them is zero, which leads to a simplified expression for work. There is ongoing clarification regarding the relevance of opposing forces in this context.

Contextual Notes

Participants are navigating the nuances of the problem, including the definitions of angles and the implications of constant speed on the forces involved. There is a focus on understanding the correct application of the work formula in this specific scenario.

mariners02
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1. Homework Statement [/b]
A block of weight mg sits on an inclined plane as shown. A force of magnitude F is applied to pull the block up the incline at constant speed. The coefficient of kinetic friction between the plane and the block is Mu.
What is the total work done on the block by the applied force as the block moves a distance up the incline?
Express your answer in terms of any or all of the variables Mu, m, g, theta, L and F
2zxxik1.jpg

Homework Equations


W=FDcos(theta)

The Attempt at a Solution


It seems like since W=FDcos(theta) the answer would simply be FLcos(theta) but its telling me that is wrong, can anyone give me an idea of what I'm missing. Thanks!
 
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mariners02 said:
1. Homework Statement [/b]
A block of weight mg sits on an inclined plane as shown. A force of magnitude F is applied to pull the block up the incline at constant speed. The coefficient of kinetic friction between the plane and the block is Mu.

The Attempt at a Solution


It seems like since W=FDcos(theta) the answer would simply be FLcos(theta) but its telling me that is wrong, can anyone give me an idea of what I'm missing. Thanks!

You are missing the part I put in bold
 
The answer is FL. Who cares what's opposing the force.
 
FL was right, thanks adrianmay, why wouldn't it be FLcos(theta)?
 
Theta is not the angle of the incline it is the angle between the direction of the force and the direction of travel. Since the force and direction of travel are parallel the angle between them is 0. Cos[0] = 1 therefore W=FLcos[0] equals FL
 
Exactly. Just look at the force and the direction it's moving. The rest is irrelevant.
 

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