ch08-p020 - 20. (a) With energy in Joules and length in...

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20. (a) With energy in Joules and length in meters, we have Δ UU xU x d x x =−= ′ − z b g b g b g 06 1 2 0 . Therefore, with U (0) = 27 J, we obtain U ( x ) (written simply as U ) by integrating and rearranging: Ux x =+ 27 12 3 2 . (b) We can maximize the above function by working through the /0 dU dx = condition, or we can treat this as a force equilibrium situation — which is the approach we show. Fx eq = ¡
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