An object has a Young’s modulus of elasticity of 14.5Gpa. Determine the stress
and strain experienced by the object if it is 200cm by 200cm x 200cm and
elongates by 5cm. what is the magnitude of the force that acts on the object?
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Answer:
iven that,
Length of the wirel=1.5m
Change in length Δl=1.55×10
−3
m
Weight = m=10kg
Now, the stress is
=
A
F
=
A
mg
=
0.785×10
−6
10×10
=127.3×10
6
N/m
2
Now, the strain is
=
l
Δl
=
1.5
1.55×10
−3
=1.03×10
−3
Now, the young modulus is
Y=
l
Δl
A
F
Y=
1.03×10
−3
127.3×10
6
Y=123.5×10
9
Y=1.23×10
11
N/m
2
Hence, the stress, strain and young modulus is 127.3×10
6
N/m
2
,1.03×10
−3
,1.23×10
11
N/m
2
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