This woman is performing a static lunge with an exercise ball. Her mass is 60 kg. The floor exerts a force on her left foot of 517.8 N at an angle of 100.3 deg (measured from the positive x-axis). That force acts on her left foot at the center of pressure (P3) of that separable surface interaction. The ball exerts a force of (92.3 N, 78.5 N) on her right foot at the center of pressure of that separable surface interaction (P2). a) Find the horizontal location of her CM (measure from a vertical line through P3). b) What is the net interaction of her torso on her right leg? You can simplify by assuming the weight of her right leg is negligible. Express that net interaction as acting at P1. c) Which right hip muscles are necessary to hold this posture? (adductors, abductors, both, neither, or not enough information to determine) d) Which left hip muscles are necessary to hold this posture? (adductors, abductors, both, neither, or not enough information to determine) You can simplify by assuming the weight of her left leg is negligible. Express that net interaction as acting her hip joint center, which is a point located (-0.08 m, 0.441 m) from P3. Also simplify by rounding your numerical pure torque to the nearest integer.