Hooke's Law states that the force exerted by a spring is directly proportional to the amount of stretch or compression of the spring, as long as the spring is not stretched beyond its elastic limit.
Here's a breakdown:
* Force (F): This is the force exerted by the spring.
* Change in length (ΔL): This is the amount the spring is stretched or compressed from its original length.
* Spring constant (k): This is a property of the spring that determines how stiff it is. A higher spring constant means a stiffer spring, requiring more force to stretch or compress it.
Mathematically, Hooke's Law is expressed as:
F = -kΔL
* The negative sign indicates that the force exerted by the spring is opposite in direction to the displacement.
Example:
If you pull on a spring and increase its length by 1 cm, the spring will exert a force back on you. The magnitude of this force will depend on the spring constant of that particular spring.
Important Note: Hooke's Law only applies within the elastic limit of the material. Beyond this limit, the material will deform permanently and will not return to its original shape.
