A box of mass m kg slides down a ramp inclinded at angle with the horizontal. The coeficcient of kinetic friction between the box and ramp is μ and coeficcient of static friction for the same is μg. The coordinate axis have been chosen with the x axis up the incline. Find expressions for the net force in the x direction, EF, and net force in the y direction, Fy, consistent with the coordinate axes in the drawing. Find an expression for the acceleration of the box in the x direction and use it to find the magnitude of the acceleration in meters per squared second when the angle of the incline is 21° and the coefficient of kinetic friction is 0.075. Using the numbers from the previous step give a numeric answer for the time in seconds that elapse when the package initially at rest travels a distance of 3.75 m down the ramp. Using this information give a numeric answer for the speed of the package the moment it traveled a distance of 3.75 m down the ramp.
A box of mass m kg slides down a ramp inclinded at angle with the horizontal. The coeficcient of kinetic friction between the box and ramp is μ and coeficcient of static friction for the same is μg. The coordinate axis have been chosen with the x axis up the incline. Find expressions for the net force in the x direction, EF, and net force in the y direction, Fy, consistent with the coordinate axes in the drawing. Find an expression for the acceleration of the box in the x direction and use it to find the magnitude of the acceleration in meters per squared second when the angle of the incline is 21° and the coefficient of kinetic friction is 0.075. Using the numbers from the previous step give a numeric answer for the time in seconds that elapse when the package initially at rest travels a distance of 3.75 m down the ramp. Using this information give a numeric answer for the speed of the package the moment it traveled a distance of 3.75 m down the ramp.
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)...
Related questions
Question
100%
Need help checking practice problems, image included. Thanks!
![A box of mass \( m \) kg slides down a ramp inclined at angle \( \theta \) with the horizontal. The coefficient of kinetic friction between the box and ramp is \( \mu_k \), and the coefficient of static friction for the same is \( \mu_s \). The coordinate axes have been chosen with the x-axis up the incline.
![Diagram of box on ramp]
Find expressions for the net force in the x direction, \( \Sigma F_x \), and net force in the y direction, \( \Sigma F_y \), consistent with the coordinate axes in the drawing.
Find an expression for the acceleration of the box in the x direction and use it to find the magnitude of the acceleration in meters per squared second when the angle of the incline is \( 21^\circ \) and the coefficient of kinetic friction is 0.075.
Using the numbers from the previous step, give a numeric answer for the time in seconds that elapse when the package initially at rest travels a distance of 3.75 m down the ramp. Using this information, give a numeric answer for the speed of the package the moment it traveled a distance of 3.75 m down the ramp.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5ac3ef32-0088-4110-a52f-c64b3b2d57cb%2F9fb8f36e-cb2f-4eec-83c0-56fd4a08727c%2Fc3vnwt_processed.jpeg&w=3840&q=75)
Transcribed Image Text:A box of mass \( m \) kg slides down a ramp inclined at angle \( \theta \) with the horizontal. The coefficient of kinetic friction between the box and ramp is \( \mu_k \), and the coefficient of static friction for the same is \( \mu_s \). The coordinate axes have been chosen with the x-axis up the incline.
![Diagram of box on ramp]
Find expressions for the net force in the x direction, \( \Sigma F_x \), and net force in the y direction, \( \Sigma F_y \), consistent with the coordinate axes in the drawing.
Find an expression for the acceleration of the box in the x direction and use it to find the magnitude of the acceleration in meters per squared second when the angle of the incline is \( 21^\circ \) and the coefficient of kinetic friction is 0.075.
Using the numbers from the previous step, give a numeric answer for the time in seconds that elapse when the package initially at rest travels a distance of 3.75 m down the ramp. Using this information, give a numeric answer for the speed of the package the moment it traveled a distance of 3.75 m down the ramp.
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 5 steps with 33 images
Knowledge Booster
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.Recommended textbooks for you
College Physics
Physics
ISBN:
9781305952300
Author:
Raymond A. Serway, Chris Vuille
Publisher:
Cengage Learning
University Physics (14th Edition)
Physics
ISBN:
9780133969290
Author:
Hugh D. Young, Roger A. Freedman
Publisher:
PEARSON
Introduction To Quantum Mechanics
Physics
ISBN:
9781107189638
Author:
Griffiths, David J., Schroeter, Darrell F.
Publisher:
Cambridge University Press
College Physics
Physics
ISBN:
9781305952300
Author:
Raymond A. Serway, Chris Vuille
Publisher:
Cengage Learning
University Physics (14th Edition)
Physics
ISBN:
9780133969290
Author:
Hugh D. Young, Roger A. Freedman
Publisher:
PEARSON
Introduction To Quantum Mechanics
Physics
ISBN:
9781107189638
Author:
Griffiths, David J., Schroeter, Darrell F.
Publisher:
Cambridge University Press
Physics for Scientists and Engineers
Physics
ISBN:
9781337553278
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning
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…
Physics
ISBN:
9780134609034
Author:
Randall D. Knight (Professor Emeritus), Brian Jones, Stuart Field
Publisher:
PEARSON