An athlete of mass 70 kg stands on one foot and performs a calf raise, elevating their heel slightly off the floor. This stance is modeled as a horizontal lever in static equilibrium, as shown in the diagram.
- The upward ground reaction force acting on the ball of the foot is RRR, which is equal to the athlete's total weight.
- The Achilles tendon exerts an upward tension force T T\,T on the heel.
- The tibia bone exerts a downward force F F\,F on the ankle joint.
Take g=9.8 m s−2g = 9.8\text{ m s}^{-2}g=9.8 m s−2.
Which option correctly identifies the tension T T\,T in the Achilles tendon and the downward force F F\,F at the ankle joint?
T=2058 NT = 2058\text{ N}T=2058 N, F=2744 NF = 2744\text{ N}F=2744 N
T=2058 NT = 2058\text{ N}T=2058 N, F=1372 NF = 1372\text{ N}F=1372 N
T=229 NT = 229\text{ N}T=229 N, F=915 NF = 915\text{ N}F=915 N
T=210 NT = 210\text{ N}T=210 N, F=280 NF = 280\text{ N}F=280 N