An orthodontic spring, connected between the upper and lower...

An orthodontic spring, connected between the upper and lower jaws, is adjusted to provide no force with the mouth open. When the patient closes her mouth, however, the spring compresses by $6.0 \mathrm{mm} .$ What force is exerted if the spring constant is $160 \mathrm{N} / \mathrm{m} ?$

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Key Concepts

Hooke's Law

Hooke's Law states that the force exerted by a spring is directly proportional to its displacement from its equilibrium position. This relationship is expressed as F = kx, where F is the force applied, k is the spring constant, and x is the displacement. This concept is fundamental in understanding how springs work in various applications.

Spring Constant

The spring constant is a measure of a spring's stiffness. It indicates how much force is required to compress or extend a spring by a unit distance. A larger spring constant means the spring is stiffer and requires more force to achieve the same displacement as a spring with a smaller constant.

Unit Conversion

Unit conversion is essential to ensure that all quantities used in calculations are in compatible units. For instance, when working with SI units, it is important to convert millimeters to meters for displacement before using it in Hooke's Law, ensuring consistency and correctness in the computed force.

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