For a particular nonlinear spring, the relationship between the magnitude of the applied force F and the resultant displacement x from equilibrium is given by the equation: F = Kx^2. What is the amount of work done by stretching the spring a distance xo?

The work done by stretching the spring to the given distance is .

The given parameters:

The work done by stretching the spring to the given distance is calculated as follows;

Thus, the work done by stretching the spring to the given distance is .

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Explanation:

Given that force changes with distance. From Physics we remember that work can be defined by the following integral equation:

(1)

Where:

- Force.

- Work.

- Distance.

If we know that , then the work of the nonlinear spring is:

(2)

If we know that and , then the amount of work done by stretching the spring a distance is:

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