Question

A perfectly plastic metal piece, with 2mm*2mm cross section and 25mm length, is stretched to 100mm. What is the deform cross-section.

Answer 1

Answer:

1mm * 1mm

Explanation:

volume will be same always.

volume initial = volume final

A1 x L1 = A2 x L2

4 x 25 = A2 x 100

A2 = 1 mm²

Answer 2

Answer:

The deformed cross section of rod is $1mm\times1mm$

Explanation:

Given that,

Cross section of perfectly plastic metal piece is $A_{1}=2mm\times2mm$ and

its length is $L_{1}=25mm$

Therefore,

its initial volume is $V_{1}=A_{1}L_{1}=(2mm\times2mm)25mm=100mm^{3}$

Now the metal piece is stretched to a length of $L_{2}=100mm$ and we are required to find its new cross section area.

The volume of metal piece remains same.Therefore we can write

$100mm^{3}=100mm(A_{2})= > A_{2}=1mm^{2}=1mm\times1mm$

Therefore,

The deformed cross section of rod is $1mm\times1mm$

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