Area under force vs displacement graph :D?

[DK_sam]

Homework Statement

Find K at 4m, besides the F.s graph they also give me Kinitial = 2J

Homework Equations

W=F.d and W=Kf- Ki

The Attempt at a Solution

The first thing I did was to find the area under the graph.
1/2(4)(2)=4J W=F.d so that's my work.
Then I replaced that 4J into the other eq W= Kf-Ki
then solved for Kf.
W+Ki=Kf
plugging in values 4j +(2J)=Kf
then 6J=Kf
Is that correct guys? Thanks for your help!

 

[PhanthomJay]

Homework Statement

Find K at 4m, besides the F.s graph they also give me Kinitial = 2J

Homework Equations

W=F.d and W=Kf- Ki

The Attempt at a Solution

The first thing I did was to find the area under the graph.
1/2(4)(2)=4J W=F.d so that's my work.
Then I replaced that 4J into the other eq W= Kf-Ki
then solved for Kf.
W+Ki=Kf
plugging in values 4j +(2J)=Kf
then 6J=Kf
Is that correct guys? Thanks for your help!

looks good! Always put a space between the numerical value and the unit, 6 J not 6J.

 

[DK_sam]

Thank you good sir! I will next time! :D good night!