Answer:
[tex]F_c=35.81kN[/tex]
Explanation:
When the ice skater grabs the loose end of the rope, he experiences a centipretal force, where the speed he had before grabbing the rope is the tangential speed, this force is given by:
[tex]F_c=ma_c\\F_c=m\frac{(v_T)^2}{r}\\F_c=85.4kg\frac{(5.97\frac{m}{s})^2}{0.085m}\\F_c=35.81kN[/tex]