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 = 45 N/m2, b = 12 N/m, and the positive x direction is in the compression direction of the spring.  Write a general equation in terms of the given variables for the work required to compress this spring from equilibrium to any point xp.   Calculate the work done, in joules, on the spring as it is compressed from x1 = 56 cm to x2 = 84 cm.

University Physics Volume 1
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Author:William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:William Moebs, Samuel J. Ling, Jeff Sanny
Chapter7: Work And Kinetic Energy
Section: Chapter Questions
Problem 108CP: Consider a linear spring, as in Figure 7.7(a), with mass M uniformly distributed along its length....
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 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 = 45 N/m2b = 12 N/m, and the positive x direction is in the compression direction of the spring.

 Write a general equation in terms of the given variables for the work required to compress this spring from equilibrium to any point xp

 Calculate the work done, in joules, on the spring as it is compressed from x1 = 56 cm to x2 = 84 cm. 

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