Electrical Energy and Capacitance4316.9(a) Use conservation of energy ()()sesefiKEPEPEKEPEPE++=++(or )()()0seKEPEPE∆+ ∆+ ∆=()0KE∆=()since the block is at rest at both beginning and end. 2max102sPEkx∆=−maxx()(, where is the maximum stretch of the spring. )maxePEWQE x∆= −= −Thus, ()2maxmax12kxQE x+−=00 , giving ()()655.0010 V m0.500 mN m××=max250.010C2100QExk−==(b) At equilibrium, Σ=Therefore, 0, or 0seeqFFFkxQE−+=−+=10.250 m2eqmaxQExxk===Note that when the block is released from rest, it overshoots the equilibrium
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