A ceramic part for a jet engine has a yield strength of 75,000 psi and a plane strain fracture toughness of 5,000 psi(in. To be sure that the part does not fail, we plan to ensure that the maximum applied stress is only one third of the yield strength. We use a nondestructive test that will detect any internal flaws greater than 0.05 in. long. Assuming that f = 1.4, does our nondestructive test have the required sensitivity? Explain.