Problem 3 You are seated in a small airplane. The child sitting next to you had been getting a bit loud, so you are letting him sit in your lap so he will be quiet. Your inertia is 60 kg, the child's inertia is 15 kg, and the plane's inertia is 10, 000 kg. All of a sudden, the plane hits an air pocket and begins to drop at Ja| = 1.5 m/s2. (Only for a short time, everyone gets out of this okay.) (a) Draw free-body diagrams for the vertical forces on the child, yourself, and the airplane, labelling the forces using the Four notation introduced in the reading and in lab. Make sure the lengths of the force vectors are appropriate for the magnitudes of the forces. Make a notation if you must draw one to a different scale. (b) Identify all the forces that form interaction pairs. (c) Find the magnitudes of the forces. Show your work, or explain briefly how you obtained these magnitudes. (d) When would you feel "heavier," when the plane is accelerating downward, or after it has levelled off again? Briefly explain your