A model airplane weighing 570 g is attached to a rope of length 1.6 m and allowed to fly at a constant height 1 m above the ground where the rope is attached to a rock. The propeller puts out a constant force 1.4 N. At time t = 0 s, the plane moves counterclockwise (looking down at it) at a speed 2.4 m/s. (a) Write the position of the plane in relative coordinates at t = 0. To = 1m xi+ 0m y n+ 1.0m (b) Write the initial velocity of the plane. Vo = 0 m/s f+ 24 m/s n+ 0m's 2 (c) What is the initial acceleration of the plane? ap = 2.25 m/'s*2 x P + 2.25 m/s^2 x n + 0 m/s*2 2 (d) What is the weight of the plane? W = = ON i + ON n +-5.58 N v 2 (e) What is the tension in the rope? To = = IF + ON i + -2.052 N x 2 (f) What is the lift force on the plane keeping it aloft? LO = ON 12 (g) What is the angular acceleration of the plane? a= 0 m/s*3 x f+ 12 The model plane flies around 7 full turns. (h) What is the linear velocity at that time? UN = 0 m/s of+ 17.8 m/s x n + 0m/s (i) What is the tension after 7 full turns? IN = = IF + ON vat 2 (i) What is the lift after 7 full turns? LN = ON vi+ ON n + 5.58 N x 2