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A steel wire of density $8000\;kg/m^3$ weights $24\;gm$ and is $250\;cm$ long. It lengthens by $1.2\;mm$ when stretched by a force of $80\;N$. Calculate the Young's modulus for the steel and the energy stored in the wire.

A vertical brass rod of the circular section is loaded by placing a $5\;kg$ weight on top of it. If its length is $50\;cm$ and radius of the cross-section is $1\;cm$, find the contraction of rod and the energy stored in it.

A uniform steel wire of density $7800\;kg/m^3$ weights $16\;gm$ and is $250\;cm$ long. It lengthens by $1.2\;mm$ when stretched by a force of $80\;N$. Calculate the Young's modulus and the energy stored in the wire.

A uniform steel wire of density $8000\;kg\;m^{-3}$ weight $20\;gm$ and is $2.5\;m$ long. It lengthens by $1\;mm$ when stretched by a force of $80\;N$. Calculate the value of the Young's modulus of steel and the energy stored in the wire.