Work Done: Find Solution for 2.7kg Mass Block

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AI Thread Summary
The discussion focuses on calculating the work done on a 2.7kg mass block by a spring and friction as it moves along a specified path. The spring's force constant is 540 N/m, and the coefficient of kinetic friction is 0.16. The user calculated the work done by the spring as 0.108 J and the work done by friction as -0.085 J, but received feedback indicating a potential error in the sign of the spring's work. They also questioned the initial and final forces of the spring at points A and B, as well as the average force over the distance. Clarification on the calculations and the correct application of the formulas is needed for accurate results.
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Homework Statement



In the system shown in the figure, suppose the block has a mass of 2.7kg , the spring has a force constant of 540 n/m , and the coefficient of kinetic friction between the block and the floor is 0.16.

Find the work done on the block by the spring and by friction as the block is moved from point A to point B along path 2.

http://imgur.com/Rr7lE

Homework Equations



Work = 1/2 mv^2

Work by spring = 1/2 kx^2

Friction work = -Ukmgx

The Attempt at a Solution



For the first part I did; 1/2 (540)(.02m^2) = .108

For the work of friction I used Friction work = -ukmgx = -(.16)(2.7)(9.81)(.02^2) = -.085

I've also tried, -(.16)(2.7)(9.81)(.06^) = -.015

I'm not sure what I'm doing wrong but MasteringPhysics is saying check my sign on the first term, I added a negative to the first and then it said it was all wrong and didn't give me any hints. Any idea what I'm doing wrong?
 
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What is the force in the spring initially (point A)? What is it when the block is at point B? What is the average force over that distance?
Btw, you wrote -(.16)(2.7)(9.81)(.02^2), but you obviously didn't mean the ^2.
 
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