Answer to Question #13046 in Mechanics | Relativity for Chris
30 = U(4) - U(2) = -0.5k4² - 0.5k2² = -10k ==> k = -30/10 =& -3 J/cm².
Thus, the work needed to stretch it from 4 cm to 6 cm is
U = U(6) - U(4) = -0.5k6² - 0.5k4² = -0.5*(-3)*(6² - 4²) = 30.
We see that the work used to stretch a spring from 2 cm to 4 cm is equal to work needed to spring from 4 cm to 6 cm, cause the extension is the same in both cases.
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