To solve this problem, we will apply the concepts related to the linear deformation of a body given by the relationship between the load applied over a given length, acting by the corresponding area unit and the modulus of elasticity. The mathematical representation of this is given as:

Where,
P = Axial Load
l = Gage length
A = Cross-sectional Area
E = Modulus of Elasticity
Our values are given as,
l = 3.5m
D = 0.028m

E = 200GPa

Replacing we have,




Therefore the change in length is 1.93mm
Answer:
The angle of projection is 12.26⁰.
Explanation:
Given;
initial position of the dart, h₀ = 1.50 m
height above the ground reached by the dart, h₁ = 1.73 m
maximum height reached by the dart, Hm = h₁ - h₀ = 1.73 m - 1.50 m= 0.23 m
velocity of the dart, u = 10 m/s
The maximum height reached by the projectile is calculated as;

where;
θ is angle of projection
g is acceleration due to gravity = 9.8 m/s²

Therefore, the angle of projection is 12.26⁰.
We have,
- The mass of sally's mug is 1 kg
- The pressure appliedby the mug is 1100 pascal.
We know that,
As, we already have the value of pressure, let's calculate that of force now;
- F = ma
- F = 1 × 9.8 { Acceleration due to gravity, let's round off it to 10}
- F = 10 N
Just put all the values in the formula now;
- P = F/A
- 1100 = 10 / A
- 1100/10 = A
- 110 m² = A
As, it is already mention that we need to find the radius of the mug, it is obviously a circular base.
We know that,
- Surface area = Circumference
So, let's solve it;
- Circumference = 2πr
- 110 = 2 × 22/7 × r
- 110 × 7/2 × 22 = r
- 5 × 7 = r
- 35 cm = r
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