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

ID: 1285229 • Letter: T

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 255g {rm N} . By how much can the tendon stretch without rupturing, and how much energy is stored in it at that point? {rm N/m} ? Because of its thickness, the maximum tension this tendon can support without rupturing is 145N {rm cm} . Find the force constant of this tendon in N/m {rm g} object was hung from it, the tendon stretched 1.25cm

Explanation / Answer

apply F = kx

k = mg/x

K = 0.255* 9.8/(0.0125)

K =199.92 N/m
-----------------------------

again F = kx

x = 145/199.92

x = 0.725 m   or 72.5 cm
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energy stored U = 0.,5 kx^2

U = 0.5 * 199.92 * 0.725*0.725

U = 52.54 Joules

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