The force generated by a spring is given by F = kx, where k is the spring constant and x is the deflection of the spring. The spring of Fig. P1–99 has a spring constant of 8 kN/cm. The pressures are P₁ = 5000 kPa, P₂ = 10,000 kPa, and P₃ = 1000 kPa. If the piston diameters are D₁ = 8 cm and D₂ = 3 cm, how far will the spring be deflected?

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D2 P2 Spring P3 P1 D1 FIGURE P1-99