Solve Stiffness Question: Work to Change Spring Length

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To determine the work done in changing the length of a spring from 8 cm to 12 cm, the formula used is 1/2 Ks,f^2 - 1/2 Ks,i^2. The calculations yield a result of 0.24 N/m, indicating the work is positive. The discussion confirms that the work done is indeed a positive value, reflecting the energy required to stretch the spring. This clarification reinforces the understanding of spring mechanics and energy calculations. The conclusion affirms that the approach and solution are correct.
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Homework Statement



A spring has a relaxed length of 6 cm and a stiffness of 150 N/m. How much work must you do to change its length from 8 cm to 12 cm?


Homework Equations



1/2Ks,f - 1/2Ks,i

The Attempt at a Solution



1/2 Ks,f^2 - 1/2 Ks,i ^2
1/2 (150)(0.06m)^2 - 1/2(150)(0.02)^2
=0.24 N/m

Am i right or is it supposed to be a negative value?
 
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Looks good to me! Definitely positive.
 
Alright thanks
 
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