Work done on a block on an inclined plane

AI Thread Summary
The discussion focuses on calculating the total work done on a block being pulled up an inclined plane at constant speed. The initial assumption was to use the formula W = FDcos(theta), leading to the conclusion that the work done is FLcos(theta). However, it was clarified that since the force and direction of travel are parallel, the angle theta is actually 0 degrees, making the correct calculation W = FL. The opposing forces, such as friction, do not affect the work done by the applied force in this context. Thus, the total work done is simply FL.
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.
 
Kindly see the attached pdf. My attempt to solve it, is in it. I'm wondering if my solution is right. My idea is this: At any point of time, the ball may be assumed to be at an incline which is at an angle of θ(kindly see both the pics in the pdf file). The value of θ will continuously change and so will the value of friction. I'm not able to figure out, why my solution is wrong, if it is wrong .
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