Let's begin with a very simple application of Y$=$StressStrainY$=$StressStrain. A small elevator with a mass of $550$ kgkg hangs from a steel cable that is $3\mathrm{.}0$ mm long when not loaded. The wires making up the cable have a total cross$-$sectional area of $0\mathrm{.}20$ cm$2$cm$2,$ and with a $550$ kgkg load, the cable stretches $0\mathrm{.}40$ cmcm beyond its unloaded length. Determine the cable's stress and strain. Assuming that the cable is equivalent to a rod with the same cross$-$sectional area, determine the value of Young's modulus for the cable's steel.