## Skater Rotation AnalysisA skater is rotating about a single point on the ice as shown below. She changes her position from the one shown on the left to the one shown on the right. For each of the following quantities, state if the quantity stays the same, increases, or decreases. Be sure to give a reason for each answer.### Images Description- **Left Image:** The skater is in a stretched-out position with one leg extended backward and the body bent forward.- **Right Image:** The skater is in a compact, spinning position with both arms and legs close to the body.### Analysis#### (a) Moment of Inertia- **Explanation:** The moment of inertia decreases because the skater pulls her limbs closer to her axis of rotation, reducing the distribution of her mass.#### (b) Total Linear Momentum- **Explanation:** The total linear momentum stays the same because there is no external force acting on the system.#### (c) Angular Momentum- **Explanation:** The angular momentum remains constant due to the conservation of angular momentum, assuming no external torques are acting on the system.#### (d) Kinetic Energy- **Explanation:** The kinetic energy increases because the skater spins faster when her moment of inertia decreases, and the system's energy is transferred into rotational kinetic energy.#### (e) Angular Velocity- **Explanation:** The angular velocity increases as the skater pulls her limbs in, due to the conservation of angular momentum leading to a faster spin.

A skater is rotating about a single point on the ice as shown below. She changes her position from the one shown on the left to the one shown on the right. For each of the following quantities, state if the quantity stays the same, increases, or decreases. Be sure to give a reason for each answer. dreamstime.om (a) Moment of Intertia (b) Total Linear Momentum (c) Angular Momentum (d) Kinetic Energy (e) Angular Velocity

A skater is rotating about a single point on the ice as shown below. She changes her position from the one shown on the left to the one shown on the right. For each of the following quantities, state if the quantity stays the same, increases, or decreases. Be sure to give a reason for each answer. dreamstime.om (a) Moment of Intertia (b) Total Linear Momentum (c) Angular Momentum (d) Kinetic Energy (e) Angular Velocity

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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