Find the work done

by dolpho
Tags: work
dolpho is offline
Oct23-12, 05:10 PM
P: 66
1. The problem statement, all variables and given/known data

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.

2. Relevant equations

Work = 1/2 mv^2

Work by spring = 1/2 kx^2

Friction work = -Ukmgx

3. 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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haruspex is offline
Oct23-12, 08:47 PM
Sci Advisor
HW Helper
Thanks ∞
P: 9,158
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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