According to the given data young's modulus for this material = 5.73 *(10^8 ) pa
Young's modulus (E) of material seems to be the ratio of compressive loading () to tensile strain (). Where stress is defined as the amount of normal force per unit area ( = F/A) and strain is defined as extension per unit length ( = dl/l).
Youngs modulus Y of a material is given Y = FL/ADL
where
A = area
DL = change of length
L = original length
F = force
so here we apply
Y = 65*9.8* 45/(3.14* 3.5*3.5* 10^-6 * 1.3)
Y = 5.73 *(10^8 ) pa
According to the given data young's modulus for this material = 5.73 *(10^8 ) pa
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I understand that the question you are looking for is:
A nylon rope used by mountaineers elongates 1.30 m under the weight of a 65.0-kg climber. If the rope is 45.0 m in length and 7.0 mm in diameter, what is Young's modulus for this material?