What am I doing wrong? ### Ligament Tension and Extension Relationship**Required Information:**The tension in a ligament in the human knee is approximately proportional to the extension of the ligament, provided that the extension is not too large.**Problem Statement:**If a particular ligament has an effective spring constant of 144 N/mm, what is the tension in this ligament when it is stretched by 0.790 cm?**Solution:**Convert the extension from centimeters to millimeters: \( 0.790 \, \text{cm} = 7.90 \, \text{mm} \)Using Hooke’s Law, \( F = k \times x \), where \( F \) is the force (tension), \( k \) is the spring constant, and \( x \) is the extension.- \( k = 144 \, \text{N/mm} \) - \( x = 7.90 \, \text{mm} \)\[ F = 144 \, \text{N/mm} \times 7.90 \, \text{mm} = 1137.6 \, \text{N} \]Convert tension to kilonewtons (kN): \[ 1137.6 \, \text{N} = 1.1376 \, \text{kN} \]However, the given solution marks the tension as **0.5688 kN**. Verify calculations by ensuring proper conversions and consider verifying assumptions or conditions outlined in the problem statement.

Name: What am I doing wrong? ### Ligament Tension and Extension Relationship
Uploaded: 2024-03-20T06:58:04.000Z
Channel: Bartleby
Description: What am I doing wrong? ### Ligament Tension and Extension Relationship**Required Information:**The tension in a ligament in the human knee is approximately proportional to the extension of the ligament, provided that the extension is not too large.**