(a) Calculate their final angular velocity, given each had an initial speed of 1.60 m/s relative to the ice. Each has a mass of 70.0 kg, and their centers of mass are 0.850 m from their locked hands. You may approximate their moments of inertia to be that of point masses at this radius. rad/s (b) Compare the initial and final kinetic energy. Ki Kf =

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Twin skaters approach one another as shown in the figure below and lock hands.

 
(a) Calculate their final angular velocity, given each had an initial speed of 1.60 m/s relative to the ice. Each has a mass of 70.0 kg, and their centers of mass are 0.850 m from their locked hands. You may approximate their moments of inertia to be that of point masses at this radius.
 rad/s

(b) Compare the initial and final kinetic energy.
Ki
Kf
 = 
The image shows two diagrams illustrating a concept of motion in physics, possibly related to angular momentum or rotational dynamics, demonstrated by two skaters.

In the "initial" diagram on the left:
- Two individuals, a skater in a gray outfit and another in a yellow outfit, are shown moving towards each other on ice. 
- Both skaters have velocity vectors labeled \( \vec{v} \), pointing horizontally towards each other from opposite directions, indicating their initial velocities as they glide on ice.

In the "final" diagram on the right:
- The two skaters have joined hands, demonstrating a rotational motion around each other.
- A curved arrow labeled \( \omega \) indicates the angular velocity of the system, showing the direction of rotation as they spin together.

Overall, this illustration demonstrates the transition from linear motion to rotational motion, a concept often discussed in physics to explain the conservation of angular momentum when two bodies interact.
Transcribed Image Text:The image shows two diagrams illustrating a concept of motion in physics, possibly related to angular momentum or rotational dynamics, demonstrated by two skaters. In the "initial" diagram on the left: - Two individuals, a skater in a gray outfit and another in a yellow outfit, are shown moving towards each other on ice. - Both skaters have velocity vectors labeled \( \vec{v} \), pointing horizontally towards each other from opposite directions, indicating their initial velocities as they glide on ice. In the "final" diagram on the right: - The two skaters have joined hands, demonstrating a rotational motion around each other. - A curved arrow labeled \( \omega \) indicates the angular velocity of the system, showing the direction of rotation as they spin together. Overall, this illustration demonstrates the transition from linear motion to rotational motion, a concept often discussed in physics to explain the conservation of angular momentum when two bodies interact.
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