Question: A spring obeys a non-linear force law: F = -kx - bx 3 . What is the work done in compressing the spring a distance

A spring obeys a non-linear force law: F = -kx - bx ³.

What is the work done in compressing the spring a distance from x = 0 (the equilibrium, unstretched position) to x = x _f?

A pendulum bob of mass m is raised to a height h and released. After hitting this non-linear spring, calculate the compression distance of the spring as a function of k, b, m, g, and h.

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