In a series of two springs, if a force of 20 pounds is applied, how much will the springs stretch?

In a series configuration of springs, the total stretch of the system can be determined by the spring constants and the applied force. When a force acts on springs in series, each spring experiences the same force, and the total extension is the sum of the extensions of each individual spring.

Assuming both springs have the same spring constant, the equation governing the stretch (or extension) of a spring is described by Hooke's Law, which states that the stretch is proportional to the applied force. In a series setup, the total stretch is effectively doubled when two identical springs are involved, given that each spring would stretch some amount under the same applied force.

In this case, if a 20-pound force is applied and the total extension is determined to be 10 inches, this means that each individual spring stretches 5 inches. The correct answer indicates a total stretch of 10 inches for the combined system under the applied force, thus leading to the conclusion that the proper understanding of how springs behave in series confirms this solution.

The concept of springs in series is crucial to understanding mechanical systems, as it enables you to predict how multiple components will respond to forces applied to them, making it essential in designing systems where spring-like behavior is utilized.