A hanging wire made of an alloy of aluminum with diameter 0.12 cm is initially 2.4 m long. When a 37 kg mass is hung from it, the wire stretches an amount 1.24 cm. A mole of aluminum has a mass of 27 grams, and its density is 2.7 g/cm3. Based on these experimental measurements, what is Young's modulus for this alloy of aluminum?

The Young's modulus for this alloy of aluminum is

Explanation:

Given that,

Diameter = 0.12 cm

Length = 2.4 m

Mass = 37 kg

Stretch length = 1.24 cm

Density = 2.7 g/cm³

We need to calculate the area

Using formula of area

Put the value into the formula

We need to calculate the Young's modulus

Using formula of Young's modulus

Put the value into the formula

Hence, The Young's modulus for this alloy of aluminum is

t = 1/400 h   ⇔ 0.0025 h ⇔ 9s ⇔ 0.15 m

any of the answers are correct.