(a) The stress in the post is 1,568,000 N/m²
(b) The strain in the post is 7.61 x 10⁻⁶
(c) The change in the post’s length when the load is applied is 1.9 x 10⁻⁵ m.
<h3>Area of the steel post</h3>
A = πd²/4
where;
d is the diameter
A = π(0.25²)/4 = 0.05 m²
<h3>Stress on the steel post</h3>
σ = F/A
σ = mg/A
where;
- m is mass supported by the steel
- g is acceleration due to gravity
- A is the area of the steel post
σ = (8000 x 9.8)/(0.05)
σ = 1,568,000 N/m²
<h3>Strain of the post</h3>
E = stress / strain
where;
- E is Young's modulus of steel = 206 Gpa
strain = stress/E
strain = (1,568,000) / (206 x 10⁹)
strain = 7.61 x 10⁻⁶
<h3>Change in length of the steel post</h3>
strain = ΔL/L
where;
- ΔL is change in length
- L is original length
ΔL = 7.61 x 10⁻⁶ x 2.5
ΔL = 1.9 x 10⁻⁵ m
Learn more about Young's modulus of steel here: brainly.com/question/14772333
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Answer:
The rate at which the automobile is moving away from the farmhouse is 27.29 m/h.
Explanation:
As shown in the figure, A denotes the position of farmhouse, B be the location of highway intersection and C be the direction along which automobile is moving.
Consider s be the distance between farmhouse and automobile which is represent by AC, x is the distance between intersection and automobile which is represent by BC and the distance between intersection of highway and automobile is represent by AB.
Applying Pythagoras Theorem to the figure,
(AB)² + (BC)² = (AC)²
Since, AB = 7 miles, BC = x and AC = s.
7² + x² = s²
Differentiating both sides of the above equation with respect to time :




When the automobile is 4 miles past the intersection, i.e.
x = 4 miles and
= 55 m/h, then

m/h
It is called an equinox. This days happen because the plane of the Earth's equator passes through the center of the Sun, in result, the light coming from it hits both hemispheres equally. Hopefully my answer has come to your help.
The answer to the first one is sublimation.