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 248 gobject was hung from it, the tendon stretched 1.24 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 145 N . By how much can the tendon stretch without rupturing?

c)How much energy is stored in it at that point?

Explanation / Answer

use Hooks law F = kx

where k is spring constant

F is force

x is compression

so

K = F/x = mg/x

K = 0.248 * 9.8/(0.0124)

K = 196 N/m

------------------------------------

F = Kx

x = 196/145

x = 1.35 m

--------------------------------------------

energy U = 0.5 kx^2

U = 0.5 * 196 * 1.35* 1.35

U = 178.605 Joules

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