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Finding the work done in stretching or compressing a spring. Hooke's Law for Springs. According to Hooke's law, the force required to compress or stretch a spring from an equilibrium position is given by F(x) = kx, for some constant k. The value of k (measured in force units per unit length) depends on the physical characteristics of the spring. The constant k is called the spring constant and is always positive. In this problem we assume that the force applied doesn't distort the metal in the spring. Part 1. A 3 m spring requires 12 J to stretch to 3.1 m. Find the force function, F(x), for the spring described. F(x) = Note: enter your answer using values correct to three decimal places. Part 2. How much work is required to stretch the spring to 3.6 m? W J. Note: enter your answer using values correct to three decimal places.