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2 years ago

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Using the following information to determine the young's modulus for the unknown material, the radius of the material is 4 cm. w

hile gravitational
acceleration g=10m/s?
initial length (cm) 25
final length (cm)25.7
mass (gm) 200

1 answer:

goldenfox [79]2 years ago

8 0

Answer:

14285.71N/m2

Explanation:

Young modulus known as modulus of elasticity is defined as;

E = σ/ε

Where E is young modulus

ε is strain defined as extention / length

σ is stress defined as force /area

Let's calculate σ;

Force = mass× gravity =200/1000. × 10 =0.2kg× 10 = 2N

The area impacted by the force is raduis surface of the wire and it's calculated thus;

πr^2 = 22/7 × (0.04)^2 ; 4cm in m = 0.04m=0.005m2

Hence σ = 2/0.005=400N/M2

Let's calculate ε;

ε= extension/ original length

extension = final length - original length

extension=25.7-25=0.7cm= 0.007m

ε= 0.7/25

Hence E = 400/ 0.7/25

E = 400 × 25/ 0.7= 14285.71N/m2

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b) Average velocity: 5.2 m/s

c) Average velocity: 7.6 m/s

Explanation:

a)

The position of the car as a function of time t is given by

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The average velocity is given by the ratio between the displacement and the time taken:

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The position at t = 0 is:

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The position at t = 2.00 s is:

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The time interval is

$\Delta t = 2.0 s - 0 s = 2.0 s$

And so, the average velocity in this interval is

$v=\frac{5.6 m}{2.0 s}=2.8 m/s$

b)

The position at t = 0 is:

$x(0)=\alpha \cdot 0^2 - \beta \cdot 0^3 = 0$

While the position at t = 4.00 s is:

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The time interval is

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c)

The position at t = 2 s is:

$x(2)=\alpha \cdot 2^2 - \beta \cdot 2^3=5.6 m$

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So the displacement is

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Answer:

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