An object of mass 4.0 kg starts at rest from, B, at the top of a rough inclined plane of height 10 m as shown in the figure. If the speed of the object at the bottom of the inclined plane at A is 10 m/s, how much work does friction do on this object as it slides down the incline? By= 10 m 30° y =0m A

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
Topic Video
Question
### Physics Problem: Work Done by Friction on an Inclined Plane

An object of mass 4.0 kg starts at rest from point B at the top of a rough inclined plane with a height of 10 m, as shown in the figure. The speed of the object at the bottom of the inclined plane at point A is 10 m/s. We are tasked with determining how much work friction does on the object as it slides down the incline.

#### Diagram Explanation:

- The figure shows two identical diagrams of a right-angled triangle representing the inclined plane.
- Point B is located at the top of the incline with a vertical height (y) of 10 m above the ground (y = 0 m).
- Point A is at the base of the incline.
- The hypotenuse of the triangle, labeled \( s \), represents the path the object travels down the incline.
- The angle of the incline with the horizontal is 30°.

#### Key Points:

- The object starts at rest from the top (B) and reaches a speed of 10 m/s at the bottom (A).
- The incline is rough, indicating the presence of friction.
  
Use principles of energy conservation and the work-energy theorem to solve for the work done by friction:

1. Calculate the initial potential energy at B.
2. Determine the kinetic energy at A.
3. Use energy conservation to find the work done by friction.

This type of problem enhances understanding of energy transformation and the role of friction in mechanical systems.
Transcribed Image Text:### Physics Problem: Work Done by Friction on an Inclined Plane An object of mass 4.0 kg starts at rest from point B at the top of a rough inclined plane with a height of 10 m, as shown in the figure. The speed of the object at the bottom of the inclined plane at point A is 10 m/s. We are tasked with determining how much work friction does on the object as it slides down the incline. #### Diagram Explanation: - The figure shows two identical diagrams of a right-angled triangle representing the inclined plane. - Point B is located at the top of the incline with a vertical height (y) of 10 m above the ground (y = 0 m). - Point A is at the base of the incline. - The hypotenuse of the triangle, labeled \( s \), represents the path the object travels down the incline. - The angle of the incline with the horizontal is 30°. #### Key Points: - The object starts at rest from the top (B) and reaches a speed of 10 m/s at the bottom (A). - The incline is rough, indicating the presence of friction. Use principles of energy conservation and the work-energy theorem to solve for the work done by friction: 1. Calculate the initial potential energy at B. 2. Determine the kinetic energy at A. 3. Use energy conservation to find the work done by friction. This type of problem enhances understanding of energy transformation and the role of friction in mechanical systems.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Knowledge Booster
Mechanical Work done
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