A force of 6 N will stretch a rubber band 4 cm (0.04 m). Assuming that Hooke's law applies, how far will an 18-N force stretch the rubber band? How much work does it take to stretch the rubber band this far? How far will an 18-N force stretch the rubber band?

Explanation:

First, we need to calculate the constant force, that is, the ratio between the applied force and the rubber stretch due to the application of the force:

Now, we can know how far will an 18N force stretch the rubber. From (1):

The work done by the external force on the rubber is equal to its elastic potential energy:

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