Young's modulus of a steel post, finding change in length

AI Thread Summary
The discussion revolves around calculating the change in length of a steel post when a force is applied. Using the formula F/A = Y * ΔL/Li, participants are attempting to determine the increase in length based on given values. The initial calculations yield results that do not match the provided answer choices, leading to confusion. Some participants suggest that using different values for Young's modulus can affect the outcome, with one mentioning a calculation yielding exactly 2 cm when a specific modulus value is used. The conversation highlights the importance of accurate material properties in such calculations.
DracoMalfoy
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Homework Statement


Superman pulls on a steel post to trap a supervillian. The post has a cross-sectional area of 30cm^2 and a length of 2m. If Superman applies a force of 6X10^6N by how much is the length of the post increased?

A)
2mm

B) 7mm

C)
1.2cm

D)
1.7cm

E)
2cm

Homework Equations



F/A= Y(of steel post) ⋅ΔL/Li

F= 6x10^6N
A=30cm^2= .3m^2
Li=2m[/B]

The Attempt at a Solution


[/B]
I know I'm supposed to find the change in length, but when I use this equation, I'm getting 1.9 which isn't an answer choice. I'm not sure what I'm doing wrong here.
 
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DracoMalfoy said:

Homework Statement


Superman pulls on a steel post to trap a supervillian. The post has a cross-sectional area of 30cm^2 and a length of 2m. If Superman applies a force of 6X10^6N by how much is the length of the post increased?

A)
2mm

B) 7mm

C)
1.2cm

D)
1.7cm

E)
2cm

Homework Equations



F/A= Y(of steel post) ⋅ΔL/Li

F= 6x10^6N
A=30cm^2= .3m^2
Li=2m[/B]

The Attempt at a Solution


[/B]
I know I'm supposed to find the change in length, but when I use this equation, I'm getting 1.9 which isn't an answer choice. I'm not sure what I'm doing wrong here.

I also obtain 19 mm. But if I use 200000 N/mm^2 instead of 210000 N/mm^2, the calculation yields 2 cm exactely. Maybe it was rounded down ...
 
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