A block with mass m= 14 kg rests on a frictionless table and is accelerated by a spring with spring constant k= 4067 N/m after being compressed a distance x, - 0.544 m from the spring's unstretched length. The floor is frictionless except for a rough patch a distance d= 2.6 m long. For this rough path, the coefficient of friction is p, = 0.43. 1) How much work is done by the spring as it accelerates the block? 2) What is the speed of the block right after it leaves the spring? 3) How much work is done by friction as the block crosses the rough spot?

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
A block with mass m = 14 kg rests on a frictionless table and is accelerated by a spring with spring constant k = 4067 N/m
after being compressed a distance x, = 0.544 m from the spring's unstretched length. The floor is frictionless except for
a rough patch a distance d = 2.6 m long. For this rough path, the coefficient of friction is H, = 0.43.
1) How much work is done by the spring as it accelerates the block?
2) What is the speed of the block right after it leaves the spring?
3) How much work is done by friction as the block crosses the rough spot?
4) What is the speed of the block after it passes the rough spot?
5) Instead, the spring is only compressed a distance x, = 0.159 m before being released.
How far into the rough path does the block slide before coming to rest?
6) What distance does the spring need to be compressed so that the block will just barely make it past the rough patch
when released?
7) If the spring was compressed three times farther and then the block is released, the work done on the block by the
spring as it accelerates the block is:
the same
three times greater
three times less
nine times greater
O nine times less
Transcribed Image Text:A block with mass m = 14 kg rests on a frictionless table and is accelerated by a spring with spring constant k = 4067 N/m after being compressed a distance x, = 0.544 m from the spring's unstretched length. The floor is frictionless except for a rough patch a distance d = 2.6 m long. For this rough path, the coefficient of friction is H, = 0.43. 1) How much work is done by the spring as it accelerates the block? 2) What is the speed of the block right after it leaves the spring? 3) How much work is done by friction as the block crosses the rough spot? 4) What is the speed of the block after it passes the rough spot? 5) Instead, the spring is only compressed a distance x, = 0.159 m before being released. How far into the rough path does the block slide before coming to rest? 6) What distance does the spring need to be compressed so that the block will just barely make it past the rough patch when released? 7) If the spring was compressed three times farther and then the block is released, the work done on the block by the spring as it accelerates the block is: the same three times greater three times less nine times greater O nine times less
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 5 steps

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