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

acceleration g=10m/s?

initial length (cm) 25

final length (cm) 25.7

mass (gm) 200

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