A 30cm long tendon was found to stretch 9.0mm by a force of 11.2N.The tendon was approximately round with an average diameter of 8.9 mm.Calculate Young’s modulus of this tendon.

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Answer:Young’s Modulus = 6 x 10⁶ Pa = 6 MPa

Explanation:First we need to find the stress on tendon:

Stress = Force/AreaStress = 11.2 N/πr²Stress = (11.2 N)/π(4.45 x 10⁻³ m)²Stress = 180 x 10³ PaNow, we calculate the strain:

Strain = Change in length/Original LengthStrain = (9 x 10⁻³ m)/(0.3 m)Strain = 0.03Now, we calculate the Young’s Modulus:

Young’s Modulus = Stress/StrainYoung’s Modulus = (180 x 10³ Pa)/0.03Young’s Modulus = 6 x 10⁶ Pa = 6 MPa