The airplane, traveling at a constant speed of 50 m/s, is executing a horizontal turn. If...

The airplane, traveling at a constant speed of 50 m/s, is executing a horizontal turn. If the plane is banked at θ = 15°, when the pilot experiences only a normal force on the seat of the plane, determine the radius of curvature ρ of the turn. Also, what is the normal force of the seat on the pilot if he has a mass of 70 kg.