Answer: Work Needed to Compress Spring 4 cm

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To determine the work needed to compress a spring 4 cm from its unstretched length, the formula W = 1/2 kx² is applied. Given that 12 J of work is required to stretch the spring 3 cm, the spring constant k is calculated to be 800 N/m. Using this value, the work for a 4 cm compression is computed as W = 1/2 (800)(-0.04)², resulting in 0.64 J. There is uncertainty about the correctness of this calculation, particularly regarding the use of x². The discussion highlights the need for clarity on spring compression and the application of the work-energy principle.
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Homework Statement



to stretch a spring 3 cm from its unstretched lenght, 12 J of work must be done. How much work must be done to compress this spring 4 cm from its unstretched lenght?

Homework Equations



W=1/2 kx^{2}

The Attempt at a Solution




a. W=1/2 kx^{2}

k=24/.03
k=800N/m

b. W=1/2 kx^{2}
W= 1/2 (800)(-0.04)^{2}
w= 0.64J

im not sure if this is correct..
 
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we haven't discuss this in class yet, so I am not sure if I am doing it right
 
Last edited:
Its x square...you have used x.Rest seems fine.
 

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