Answer:
W=35955 N
Explanation:
In an elastic material like steel when deformation takes place then the stress (
σ
) produced in the material is directly proportional to the strain (
∈[tex][/tex]
therefore young modulus=stress/strain
y=σ/∈
y[tex]y=\frac{f/a}{e/l}[/tex]
f=external force
A is the cross-sectional area
L is the original length
Δ
L is the elongation
young modulus of steel 200 Gpa
[tex]200*10^{9} =\frac{f/\pi *r^2}{e/dl}[/tex]
[tex]200*10^{9} =\frac{f/\pi *.67^2}{5.1*10^-7/4}[/tex]
200*10^9=f/1.41/(5.1*10^-7/4)
f=200*10^9*1.41*(5.1*10^-7/4)
f=35955 N
which is equal to the weight of the body
