Hooke's Law states that the force needed to extend or compress a spring by some distance is proportional to that distance. Mathematically, it can be expressed as: F = k*x Where: F is the force applied to the spring. k is the spring constant (a measure of the stiffness of the spring). x is the displacement of the spring from its equilibrium position. Importance in Mapping Yield Strength Yield strength is the stress level at which a material deforms permanently, meaning it doesn't return to its original shape after the stress is removed. Understanding yield strength is crucial in material science and engineering because it helps in determining the maximum stress a material can withstand before permanent deformation occurs. Hooke's Law is important in mapping yield strength because it provides a fundamental understanding of how materials behave under stress. By applying gradually increasing loads to a material and measuring the resulting strain (deformation), one can observ