A spring with a mass of 2 kg has natural length 0.5 m. A force of 25.6 N is requiredto maintain it stretched to a length of 0.7 m. Suppose that the spring is immersed ina fluid with damping constant c=40.(a) Using Newton's Second and Hooke's Law, derive the 2nd order differentialequation for the following mass-spring system.equilibrium positionFigure 3 for Q3.(b) If the spring starts from equilibrium and is stretched to a length of 0.7 m andthen released with initial velocity 0.6 m/s, find the position of the mass at any time t.

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