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A steel cable with a cross-sectional area $3\;cm^2$ has an elastic limit of $2.4\;*\;10^8\;pa$. Find the maximum upward acceleration that can be given a $1200\;kg$ elevator supported by the cable if the stress does not exceed one-third of the elastic limit.

Calculate the work done in stretching a steel wire $100\;cm$ in length and of cross-sectional area $0.03\;cm^2$ when a load of $100\;N$ is slowly applied before the elastic limit is reached.