Question

A 85.4 kg ice skater is moving at 5.97 m/s when she grabs the loose end of a rope, the opposite end of which is tied to a pole. She then moves in a circle of radius 0.895 m around the pole. Find the force exerted by the rope on her arms. The acceleration of gravity is 9.8 m/s 2 . Answer in units of kN.

Answer 1

`F_c=35.81kN`

Step-by-step 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:

`F_c=ma_c\\F_c=m((v_T)^2)/(r)\\F_c=85.4kg((5.97(m)/(s))^2)/(0.085m)\\F_c=35.81kN`