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=
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
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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 =](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fabe81bfc-c6f3-4215-b4e4-33bc045c865b%2F22347010-7b6c-4433-9791-0a3586b64d71%2Fmhcrpo_processed.jpeg&w=3840&q=75)
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 =
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