# Problem: A student is testing a 1.0 m length of 4.0-mm steel wire.Part A.How much force is required to stretch this wire by 1.0 mm?  Young's modulus for steel is 20x1010 N/m2. Express your answer to two significant figures and include the appropriate units.Part B.What length of 8.0-mm-diameter wire would be stretched by 1.0 mm by this force?

###### FREE Expert Solution

Young's modulus is expressed as:

$\overline{){\mathbf{\gamma }}{\mathbf{=}}\frac{\mathbf{F}{\mathbf{l}}_{\mathbf{0}}}{\mathbf{A}\mathbf{∆}\mathbf{l}}}$, where F is force for stretch, l0 is the initial length, A is the area where the force acts perpendicularly.

Part A.

Area,

$\overline{){\mathbf{A}}{\mathbf{=}}{{\mathbf{\pi r}}}^{{\mathbf{2}}}}$

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###### Problem Details

A student is testing a 1.0 m length of 4.0-mm steel wire.

Part A.

How much force is required to stretch this wire by 1.0 mm?  Young's modulus for steel is 20x1010 N/m2. Express your answer to two significant figures and include the appropriate units.

Part B.

What length of 8.0-mm-diameter wire would be stretched by 1.0 mm by this force?