Question

A 210-kg load is hung on a wire of length of 3.20 m, cross-sectional area 2.000 10-5 m2, and young's modulus 8.00 1010 n/m2. what is its increase in length?

Answer 1

To calculate for the length at which the length of the wire extended can be calculated through the equation,

extension = ((force)(length)) / ((Young's modulus)(area))

To calculate for the force one needs to find the weight of the object.
F = (210 kg)(9.8 m/s²)
F = 2058 N

Substituting the known values,

extension = ((2058 N)(3.2 m) / (8 x 10¹⁰ N/m²)(2 x 10⁻⁵ m²))

extension = 4.116 x 10⁻³ m

Answer: 4.116 x 10⁻³ m