The first three have been answered as 1. 0 m/s 2. 0.93 rad/sec 3. 107.8 J **Title: Analyzing Rotational Motion of Two Skaters Using a Massless Rod****Introduction:**Imagine you're watching a scene on a streaming service involving two characters, Ariel and Aurora, each with a mass of 55 kg. They glide on ice in opposite directions at a speed of 1.4 m/s, holding onto the ends of a long massless rod.**Diagram Explanation:**In the diagram, two skaters are depicted from a top view:- **Ariel** moves horizontally to the left at 1.4 m/s.- **Aurora** moves horizontally to the right at 1.4 m/s.- The path between them measures 3.0 meters, marked by the rod they jointly hold.**Scenario:**Both skaters eventually grab the ends of the rod and begin rotating around the rod's center. Assume a frictionless interaction between the skaters and ice. **Questions:**1. **Translational (Linear) Speed of the Two-Princess System:** - Calculate the movement speed of the center-of-mass (c.o.m.) of the system under symmetry conditions.2. **Angular Speed of the Princesses:** - Determine the angular speed at which the skaters rotate around the rod’s center.3. **Kinetic Energy of the Two-Princess System:** - Compute the kinetic energy present in the system as the skaters spin with the rod.**Note:** Continued analysis and further questions can be found on the second page. **Physics Exercise: Understanding Angular Momentum and Kinetic Energy****Scenario Overview:**After a period of rotation, the princesses pull themselves closer along a rod, reducing the separation between them to 1.0 m.**Exploration Questions:**4. *Angular Speed*: Once the princesses have moved closer to a separation of 1.0 m, determine their new angular speed. Consider the principle of conservation of angular momentum.5. *Kinetic Energy*: Calculate the kinetic energy of the two-princess system in this new arrangement.6. *Source of Energy*: Identify what provided the energy for the increased kinetic energy observed in the system.

Given data, Mass of each-princess = 55 kg New distance between then = 1 m Linear speed of…

Answered: After they rotate awhile, the…

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