Physics

Two massless springs (S1 and S2) are arranged such that one hangs vertically downward and the other is vertically upward, as shown in figure (a). When a 0.275-kg mass is suspended from S1, it stretches by an amount Δx1 = 0.062 m, as shown in figure (b). Spring S1 is now lowered so that the mass rests on and compresses spring S2, as shown in figure (c). If S2 has a spring constant
k2 = 94.0 N/m,determine the amount S1 is stretched (Δx1s) when the elastic potential energy of the two springs is the same. Use
g = 9.80 m/s2 for the magnitude of the acceleration due to gravity.

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