20. (a) With energy in Joules and length in meters, we have ΔUUxUxdxx=−=−′ −′zbgbgbg06120.Therefore, with U(0) = 27 J, we obtain U(x) (written simply as U) by integrating and rearranging:Uxx=+−27 1232.(b) We can maximize the above function by working through the /0dU dx=condition,or we can treat this as a force equilibrium situation — which is the approach we show. Fxeq=¡
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