Suppose you have two different continuous and aligned fiber-reinforced composites. Both are made with carbon fibers and epoxy matrix, with composition and properties as in problem 2. In the first (material #1), the fibers are longer than the critical fiber length. In the second (material #2), the fiber length is only 1/2 of the critical value. (a) Under tension, the two materials will likely fail in different ways. Why? (b) Determine the tensile strengths of the two materials and compare them. (c) Sketch the dependence of tensile strength on fiber length in this class of material. Composition and properties (from problem 2): 45% by volume epoxy matrix (Modulus of elasticity E:2.4 GPa, Tensile strength: 80Mpa) 55% by volume carbon fiber (Modulus of elasticity E: 260 GPa, Tensile strength: 4000 Mpa)