The nuchal ligament in a horse supports the weight of the horse’s head. This ligament is much more elastic than a typical ligament, stretching from 15% to 45% longer than its resting length as a horse’s head moves up and down while it runs. This stretch of the ligament stores energy, making locomotion more efficient. Measurements on a segment of ligament show a linear stress-versusstrain relationship until the stress approaches 0.80. Smoothed data for the stretch are shown.
Suppose the ligament has a circular cross section. For a certain ligament, an investigator measures the restoring force at a strain of 0.40. If the ligament is replaced with one that has twice the diameter, by what factor does the restoring force increase?
A. 1.4
B. 2
C. 4
D. 8
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