Tendons are strong elastic fibers that attach muscles to bones. To a reasonable

Question

Tendons are strong elastic fibers that attach muscles to bones. To a reasonable approximation, they obey Hooke's law. In laboratory tests on a particular tendon, it was found that, when a 249 gobject was hung from it, the tendon stretched 1.25 cm .

A) Find the force constant of this tendon in N/m.

B) Because of its thickness, the maximum tension this tendon can support without rupturing is 143 N . By how much can the tendon stretch without rupturing?

C) Because of its thickness, the maximum tension this tendon can support without rupturing is 143 N . By how much can the tendon stretch without rupturing?

Explanation / Answer

apply hooke's law

F =k*x

F = 0.249*9.81 = 2.4402 N

x = 1.25cm = 0.0125 m

then spring constant k = F/x = 2.4402/0.0125 = 195.216N/m

B) Tmax = 143 N

K = 195.21 N/m

then extension x = Tmax/k = 143/195.21 = 0.732 m = 73.2cm

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