Final answer:
The magnitude of the lift force is 24,500 N, and the radius of the turn is 220.9 m.
Step-by-step explanation:
(a) To find the magnitude of the lift force, we can use the formula: lift force = mass × acceleration due to gravity. The acceleration due to gravity is approximately 9.8 m/s². So, the magnitude of the lift force is:
lift force = 2.50 × 10³ kg × 9.8 m/s² = 24,500 N
(b) To find the radius of the turn, we can use the formula: radius = linear speed² / (acceleration due to gravity × tangent(angle)). Given that the linear speed is 120.0 m/s and the angle is 30°, the radius of the turn is:
radius = 120.0 m/s² / (9.8 m/s² × tan(30°)) = 220.9 m