A certain wire stretches 0.69cm when outward forces with magnitude F are applied

Question

A certain wire stretches 0.69cm when outward forces with magnitude F are applied to each end. The same forces are applied to a wire of the same material but with 3 times the diameter and 3 times the length. The second wire stretches in cm A certain wire stretches 0.69cm when outward forces with magnitude F are applied to each end. The same forces are applied to a wire of the same material but with 3 times the diameter and 3 times the length. The second wire stretches in cm A certain wire stretches 0.69cm when outward forces with magnitude F are applied to each end. The same forces are applied to a wire of the same material but with 3 times the diameter and 3 times the length. The second wire stretches in cm

Explanation / Answer

stress/strain = young's modulus of elasticity =constant for 1st wire; [4F/(pi*d^2)]/[0.69/L] = Y for 2nd wire; [4f/(pi*9d^2)]/[x/3L] = Y => (3/9x)*0.69*Y = Y => x = 0.23 cm

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