чез 55 544 45 451 / US LP 15!!! 5 5 5 ( (q) SILS 15 y 25+15 (c)

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)...
icon
Related questions
icon
Concept explainers
Question
100%
**Title:** Conservation of Angular Momentum in Skaters

**Description:**
The diagram illustrates a scenario where twin skaters approach each other and lock hands.

**Diagram Explanation:**
- **Figure (a):** Shows the initial position where two skaters are moving towards each other with a linear velocity \( v = 1.80 \, \text{m/s} \).
- **Figure (b):** Depicts the skaters after locking hands, rotating around their center of mass with angular velocity \( \omega \).

**Problem Statement:**

**(a)** Calculate their final angular velocity in rad/s, given:
- Each skater has an initial speed of 1.80 m/s.
- Each skater has a mass of 70 kg.
- The centers of mass are 0.890 m from their locked hands.
- Approximate their moments of inertia as point masses at this radius.

**Question:** What is the angular momentum of an object moving with a linear velocity about a given point? (Provide your answer in rad/s.)

**(b)** Compare the initial and final kinetic energy.

\[
\frac{KE_i}{KE_f} = \text{?}
\]

**Explanation:** Initially, the two skaters have translational motion, while after the collision, the motion is purely rotational.

Each section challenges students to apply principles of conservation of angular momentum and energy transformation to solve real-world physics problems.
Transcribed Image Text:**Title:** Conservation of Angular Momentum in Skaters **Description:** The diagram illustrates a scenario where twin skaters approach each other and lock hands. **Diagram Explanation:** - **Figure (a):** Shows the initial position where two skaters are moving towards each other with a linear velocity \( v = 1.80 \, \text{m/s} \). - **Figure (b):** Depicts the skaters after locking hands, rotating around their center of mass with angular velocity \( \omega \). **Problem Statement:** **(a)** Calculate their final angular velocity in rad/s, given: - Each skater has an initial speed of 1.80 m/s. - Each skater has a mass of 70 kg. - The centers of mass are 0.890 m from their locked hands. - Approximate their moments of inertia as point masses at this radius. **Question:** What is the angular momentum of an object moving with a linear velocity about a given point? (Provide your answer in rad/s.) **(b)** Compare the initial and final kinetic energy. \[ \frac{KE_i}{KE_f} = \text{?} \] **Explanation:** Initially, the two skaters have translational motion, while after the collision, the motion is purely rotational. Each section challenges students to apply principles of conservation of angular momentum and energy transformation to solve real-world physics problems.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

Blurred answer
Follow-up Questions
Read through expert solutions to related follow-up questions below.
Follow-up Question

For some reason, I can't see how problem B was solved.

Solution
Bartleby Expert
SEE SOLUTION
Knowledge Booster
Radioactive decay
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
College Physics
College Physics
Physics
ISBN:
9781305952300
Author:
Raymond A. Serway, Chris Vuille
Publisher:
Cengage Learning
University Physics (14th Edition)
University Physics (14th Edition)
Physics
ISBN:
9780133969290
Author:
Hugh D. Young, Roger A. Freedman
Publisher:
PEARSON
Introduction To Quantum Mechanics
Introduction To Quantum Mechanics
Physics
ISBN:
9781107189638
Author:
Griffiths, David J., Schroeter, Darrell F.
Publisher:
Cambridge University Press
Physics for Scientists and Engineers
Physics for Scientists and Engineers
Physics
ISBN:
9781337553278
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning
Lecture- Tutorials for Introductory Astronomy
Lecture- Tutorials for Introductory Astronomy
Physics
ISBN:
9780321820464
Author:
Edward E. Prather, Tim P. Slater, Jeff P. Adams, Gina Brissenden
Publisher:
Addison-Wesley
College Physics: A Strategic Approach (4th Editio…
College Physics: A Strategic Approach (4th Editio…
Physics
ISBN:
9780134609034
Author:
Randall D. Knight (Professor Emeritus), Brian Jones, Stuart Field
Publisher:
PEARSON