A skater skates at a speed of 10 m/s. As she comes to a turn in the course with a radius of 10.0 m, she needs to tilt her body sideways in order to make through the turn. Assume that her skates can cut into the ice perfectly so she will not glide sideways no matter how much she tilts her body. Her body mass is 80 kg. You can assume that her mass is concentrated at the midpoint of her body in your calculation and that the radius of the turn is the distance from the body midpoint to the center of the circle of the turn (g=9.8 m/s2). Find: (a) An angle of the tilt with respect to the surface of the ice. (10 points) (b) A force her legs exert on the ice during the turn. (10 points)