Homework Help is Here – Start Your Trial Now!
Science
Physics
Problem 8: A mass is sliding on a frictionless surface with a speed v. It runs into a linear spring with a spring constant of k, which compresses from position x; to position Xf. m m Part (a) Write a general expression for the force that the spring exerts on the mass, in term of k and x. Choose the initial position of the front of tl spring to be x=0. Expression: Fspring = Select from the variables below to write your expression. Note that all variables may not be required. a, B, 0, a, d, g, h,j, k, m, P, t, x, Xf, X; Part (b) Select the equation that correctly describes the work done by the spring to stop the mass. MultipleChoice : 1) W = k, k x dx 2) W = - k x? 3) W = - kf k x dx -4, k x dx - ½ m v² - k x dx + ½ m v² 4) W = - 5) W = - 6) W = - . Xf Fx dx Part (c) Evaluate the relationship in part (b) to arrive at an expression for the work done in terms of known variables. Expression : %3D Select from the variables below to write your expression. Note that all variables may not be required. a, B, 0, a, d, g, h, j, k, m, P, t, x, Xf, Xi Part (d) Solve for the numerical value of the work done in Joules given that x; = 0, xf = 22 cm, and k = 120 N/m. Numeric : Anumeric value is expected and not an expression. W =

Problem 8: A mass is sliding on a frictionless surface with a speed v. It runs into a linear spring with a spring constant of k, which compresses from position x; to position Xf. m m Part (a) Write a general expression for the force that the spring exerts on the mass, in term of k and x. Choose the initial position of the front of tl spring to be x=0. Expression: Fspring = Select from the variables below to write your expression. Note that all variables may not be required. a, B, 0, a, d, g, h,j, k, m, P, t, x, Xf, X; Part (b) Select the equation that correctly describes the work done by the spring to stop the mass. MultipleChoice : 1) W = k, k x dx 2) W = - k x? 3) W = - kf k x dx -4, k x dx - ½ m v² - k x dx + ½ m v² 4) W = - 5) W = - 6) W = - . Xf Fx dx Part (c) Evaluate the relationship in part (b) to arrive at an expression for the work done in terms of known variables. Expression : %3D Select from the variables below to write your expression. Note that all variables may not be required. a, B, 0, a, d, g, h, j, k, m, P, t, x, Xf, Xi Part (d) Solve for the numerical value of the work done in Joules given that x; = 0, xf = 22 cm, and k = 120 N/m. Numeric : Anumeric value is expected and not an expression. W =

College Physics
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)...
See similar textbooks
icon
Related questions
Question

Conservation of Energy Q8: Please answer each part step by step and explain each step (even if minor)  in detail please.

Problem 8: A mass is sliding on a frictionless surface with a speed v. It runs into a linear spring with a spring constant of k, which compresses from position x; to position X Xf. X; www m m Part (a) Write a general expression for the force that the spring exerts on the mass, in term of k and x. Choose the initial position of the front of the spring to be x;=0. Expression : F. spring Select from the variables below to write your expression. Note that all variables may not be required. а, В, ө, а, d, g, h, j, k, m, P, t, х, Xр, X; Part (b) Select the equation that correctly describes the work done by the spring to stop the mass. MultipleChoice : 1) W = kf k x dx 2) W = - k x? 3) W = - k*fk x dx 4) W = - k*f k x dx - ½ m 5) W = - k x dx + ½ m v² 6) W = - Xf F x dx Part (c) Evaluate the relationship in part (b) to arrive at an expression for the work done in terms of known variables. Expression : W = Select from the variables below to write your expression. Note that all variables may not be required. а, в, ө, а, d, g, һ, j, k, m, P, t, x, Xр, X; Part (d) Solve for the numerical value of the work done in Joules given that x; = 0, xf = 22 cm, and k = 120 N/m. Numeric : A numeric value is expected and not an expression. W =
Transcribed Image Text:Problem 8: A mass is sliding on a frictionless surface with a speed v. It runs into a linear spring with a spring constant of k, which compresses from position x; to position X Xf. X; www m m Part (a) Write a general expression for the force that the spring exerts on the mass, in term of k and x. Choose the initial position of the front of the spring to be x;=0. Expression : F. spring Select from the variables below to write your expression. Note that all variables may not be required. а, В, ө, а, d, g, h, j, k, m, P, t, х, Xр, X; Part (b) Select the equation that correctly describes the work done by the spring to stop the mass. MultipleChoice : 1) W = kf k x dx 2) W = - k x? 3) W = - k*fk x dx 4) W = - k*f k x dx - ½ m 5) W = - k x dx + ½ m v² 6) W = - Xf F x dx Part (c) Evaluate the relationship in part (b) to arrive at an expression for the work done in terms of known variables. Expression : W = Select from the variables below to write your expression. Note that all variables may not be required. а, в, ө, а, d, g, һ, j, k, m, P, t, x, Xр, X; Part (d) Solve for the numerical value of the work done in Joules given that x; = 0, xf = 22 cm, and k = 120 N/m. Numeric : A numeric value is expected and not an expression. W =
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 5 steps with 1 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Knowledge Booster
Nonconservative forces
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
SEE MORE TEXTBOOKS