The Achilles tendon connects the muscles in your calf to the back of your foot. When you are sprinting, your Achilles tendon alternately stretches, as you bring your weight down onto your forward foot, and contracts to push you off the ground. A 70 kg runner has an Achilles tendon that is 15 cm long with a typical 1.1 x 10-4 m2 area.a. By how much will the runner’s Achilles tendon stretch if the maximum force on it is 8.0 times his weight, a typical value while running?b. What fraction of the tendon’s length does this correspond to?

Physics for Scientists and Engineers, Technology Update (No access codes included)
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Author:Raymond A. Serway, John W. Jewett
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Chapter12: Static Equilibrium And Elasticity
Section: Chapter Questions
Problem 12.28P: Assume Youngs modulus for bone is 1.50 1010 N/m2. The bone breaks if stress greater than 1.50 108...
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The Achilles tendon connects the muscles in your calf to the back of your foot. When you are sprinting, your Achilles tendon alternately stretches, as you bring your weight down onto your forward foot, and contracts to push you off the ground. A 70 kg runner has an Achilles tendon that is 15 cm long with a typical 1.1 x 10-4 m2 area.
a. By how much will the runner’s Achilles tendon stretch if the maximum force on it is 8.0 times his weight, a typical value while running?
b. What fraction of the tendon’s length does this correspond to?

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