Suppose that in the example with Joey and the toy airplane, he pulls the airplane closer to him. Initially, the length of the string is a and after he pulls it closer, it’s a/4. In this case, there is no torque acting on the airplane (the angle between the force exerted by Joey and the vector is 180°, so the torque is zero), thus, the angular momentum of the airplane is conserved. Your goal is to determine the new speed of the airplane after Joey pulls it closer, assuming that initially, its speed was vi. What is the initial angular momentum (magnitude) of the airplane? What is the final angular momentum (magnitude) of the airplane? (Use as its final speed) What is the final speed of the airplane?

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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Suppose that in the example with Joey and the toy airplane, he pulls the airplane closer to him. Initially, the length of the string is a and after he pulls it closer, it’s a/4. In this case, there is no torque acting on the airplane (the angle between the force exerted by Joey and the vector is 180°, so the torque is zero), thus, the angular momentum of the airplane is conserved. Your goal is to determine the new speed of the airplane after Joey pulls it closer, assuming that initially, its speed was vi.

  1. What is the initial angular momentum (magnitude) of the airplane?
  2. What is the final angular momentum (magnitude) of the airplane? (Use as its final speed)
  3. What is the final speed of the airplane?
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