Safari File Edit View History Bookmarks Window Help ? 58% 30-Wed 4:18 pr as “ se

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Safari File Edit View History Bookmarks Window Help ? 58% 30-Wed 4:18 pr as “ session.masteringphysics.com CHO8 HW Problem 8.62 Problem 8.6 Part A Several studies indicate that the elastic properties of tendons can change in response to exercise. In one study. guinea fowl were divided into a group hat ran for 30 minutes a day on a treadmil, and a control group that was kept in their cages. After 12 weeks, the researchers measured the mechanical properties of the gastroonemius tendon in each bird. The results for one control bird and one treadmill bird are shown in (Figure 1) Treating the tendon as an ideal spring, what is the force oonstant for the control bird? Express your answer to two significant figures and include appropriate units. 4.0.10 My Answers Give Up Correct Figure 1 of 1 Part B 120 By how much does the control bird's tendon need to be stretched in order to have the same amount of stored energy as the tendon of the treadmil bird at a deformation of 3.0 mm? 100 Express your answer to two significant figures and include appropriate units. 80 60 40 20 Value mm Submit -Control -Level Incorrect: Try Again 0 Deformation (mm)

Explanation / Answer

force constant for trademill bird, k' = F/d = 80/10-3 = 8 x 104 N/m

now energy for 3mm deformation in trademill = 0.5k'(0.003)2

now, as k = 4 x 104 N/m and k' = 8 x 104 N/m => k'/k = 2

0.5kx2 = 0.5k'(0.003)2

=> x = sqrt(2) * 0.003

=> x = 0.00424264 m = 4.24264 mm

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