In the accompanying diagram, spring A is a linear spring and spring B is a hard spring,...

In the accompanying diagram, spring A is a linear spring and spring B is a hard spring, with characteristics that are described by the relationship F= kxⁿ. Determine the stiffness coefficient k for each spring. What is the exponent n for the hard spring? In your own words, also explain the relationship between the spring force and the deflection for the hard spring and how it differs from the behavior of the linear spring.