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Q4. When subjected to a tensile load of 80 kN, a uniform metal rod 30 mm diameter and 3 m long extends by 1.8 mm. The unloaded rod is then placed vertically with its upper end fixed and a collar fitted at its free lower end. A load mass is then allowed to drop onto the collar from a height of 180 mm, and the instantaneous extension of the rod is found to be 3.6 mm. Calculate EACH of the following:

(a) the Modulus of Elasticity for the rod;

(b) the magnitude of the load mass.