Problem 9: The force required to compress a non-standard spring as a function of displacement from equilibrium x is given by the equation F(x) = ax? - bx, where a = 55 N/m2, b = 6 N/m, and the positive x direction is in the compression direction of the spring. Part (a) Write a general equation in terms of the given variables for the work required to compress this spring from equilibrium to any point xp. Expression : W = Select from the variables below to write your expression. Note that all variables may not be required. B, 0, a, b, d, g, h, j, k, m, n, P, t, Xp, y Part (b) Calculate the work done, in joules, on the spring as it is compressed from x 0 to x = 48 cm. Numeric : Anumeric value is expected and not an expression. Wo-1 = Part (c) Calculate the work done, in joules, on the spring as it is compressed from x, = 48 cm to x2 = 84 cm. Numeric Anumeric value is expected and not an expression. W12=

Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter9: Energy In Nonisolated Systems
Section: Chapter Questions
Problem 28PQ
icon
Related questions
Question

5.9

Problem 9: The force required to compress a non-standard spring as a function of displacement from equilibrium x is given by the
equation F(x) = ax² - bx, where a = 55 N/m2, b = 6 N/m, and the positive x direction is in the compression direction of the spring.
Part (a) Write a general equation in terms of the given variables for the work required to compress this spring from equilibrium to any point xp.
Expression :
W =
Select from the variables below to write your expression. Note that all variables may not be required.
B, 0, a, b, d, g, h, j, k, m, n, P, t, xp, y
Part (b) Calculate the work done, in joules, on the spring as it is compressed from x = 0 to x1 = 48 cm.
Numeric : A numeric value is expected and not an expression.
Wo-1 =
Part (c) Calculate the work done, in joules, on the spring as it is compressed from x1 = 48 cm to x2 = 84 cm.
Numeric : A numeric value is expected and not an expression.
W1-2 =
Transcribed Image Text:Problem 9: The force required to compress a non-standard spring as a function of displacement from equilibrium x is given by the equation F(x) = ax² - bx, where a = 55 N/m2, b = 6 N/m, and the positive x direction is in the compression direction of the spring. Part (a) Write a general equation in terms of the given variables for the work required to compress this spring from equilibrium to any point xp. Expression : W = Select from the variables below to write your expression. Note that all variables may not be required. B, 0, a, b, d, g, h, j, k, m, n, P, t, xp, y Part (b) Calculate the work done, in joules, on the spring as it is compressed from x = 0 to x1 = 48 cm. Numeric : A numeric value is expected and not an expression. Wo-1 = Part (c) Calculate the work done, in joules, on the spring as it is compressed from x1 = 48 cm to x2 = 84 cm. Numeric : A numeric value is expected and not an expression. W1-2 =
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Knowledge Booster
Unit conversion
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
Physics for Scientists and Engineers: Foundations…
Physics for Scientists and Engineers: Foundations…
Physics
ISBN:
9781133939146
Author:
Katz, Debora M.
Publisher:
Cengage Learning
University Physics Volume 1
University Physics Volume 1
Physics
ISBN:
9781938168277
Author:
William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:
OpenStax - Rice University
Principles of Physics: A Calculus-Based Text
Principles of Physics: A Calculus-Based Text
Physics
ISBN:
9781133104261
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning
College Physics
College Physics
Physics
ISBN:
9781938168000
Author:
Paul Peter Urone, Roger Hinrichs
Publisher:
OpenStax College
College Physics
College Physics
Physics
ISBN:
9781285737027
Author:
Raymond A. Serway, Chris Vuille
Publisher:
Cengage Learning
Physics for Scientists and Engineers
Physics for Scientists and Engineers
Physics
ISBN:
9781337553278
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning