On an essentially frictionless, horizontal ice rink, a skater moving at 5.0 m/s encounters a rough patch that reduces her speed by 40 % due to a friction force that is 28% of her weight.
On an essentially frictionless, horizontal ice rink, a skater moving at 5.0 m/s encounters a rough patch that reduces her speed by 40 % due to a friction force that is 28% of her weight.
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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![### Skating on a Rough Patch: Applying the Work-Energy Theorem
#### Scenario:
On an essentially frictionless, horizontal ice rink, a skater is moving at a speed of 5.0 m/s. However, she encounters a rough patch that reduces her speed by 40% due to a friction force that is 28% of her weight.
#### Task - Part A:
**Objective:** Use the work-energy theorem to find the length of this rough patch.
**Instructions:**
- **Express your answer using two significant figures.**
**Input Field for Solution:**
- \( s = \_\_\_ \) m
**Buttons:**
- **Submit**
- **Request Answer**
**Additional Options:**
- **Return to Assignment**
- **Provide Feedback**
In this exercise, apply your understanding of physics concepts, such as the work-energy theorem, to solve for the unknown length of the patch that affects the skater's motion. Consider the interplay between kinetic energy and the work done by friction during this process.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc42f8bf5-c4ea-440d-bf0d-c8a9270c2068%2F335ba0e7-2a12-4ac4-84f5-b41eaa3c6e99%2Fke8a19i_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Skating on a Rough Patch: Applying the Work-Energy Theorem
#### Scenario:
On an essentially frictionless, horizontal ice rink, a skater is moving at a speed of 5.0 m/s. However, she encounters a rough patch that reduces her speed by 40% due to a friction force that is 28% of her weight.
#### Task - Part A:
**Objective:** Use the work-energy theorem to find the length of this rough patch.
**Instructions:**
- **Express your answer using two significant figures.**
**Input Field for Solution:**
- \( s = \_\_\_ \) m
**Buttons:**
- **Submit**
- **Request Answer**
**Additional Options:**
- **Return to Assignment**
- **Provide Feedback**
In this exercise, apply your understanding of physics concepts, such as the work-energy theorem, to solve for the unknown length of the patch that affects the skater's motion. Consider the interplay between kinetic energy and the work done by friction during this process.
Expert Solution
![](/static/compass_v2/shared-icons/check-mark.png)
Step 1
Given
Initial velocity, U = 5.0 m/s
Final velocity, V = reduced by 40% of U
Step by step
Solved in 3 steps
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
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