Calculating Work for 2 Linked Springs

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To calculate the work required to stretch two linked springs with force constants of 0.90 N/m and 1.29 N/m by a total distance of 0.01 m, the total force from both springs must be considered. The work done on each spring is calculated using the formula W = 0.5 * k * x^2, leading to the equation W = (0.5)(0.90)(0.01)^2 + (0.5)(1.29)(0.01)^2. The resulting total work is approximately 1.095e^-4 J. It is clarified that the total extension applies to the combined system rather than each spring individually. Understanding the mechanics of linked springs is crucial for accurate calculations.
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Homework Statement



Two springs which have force constants 0.90 N/m and 1.29 N/m are linked end to end. How much work is required to stretch the springs by a distance 0.01 m?

Homework Equations

The Attempt at a Solution



I just add the total force together so:

(.5)(.9)(.01)^2 + (.5)(1.29)(.01)^2

= 1.095e^-4 J.
 
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I'm sure they mean for you to extend the two-spring combo by a total of 0.01m.

It would not be possible to pull on the end of just one and by that extend each by 0.01m in any case.
 

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